diff --git a/README.md b/README.md
index 1e75364781115a7a65f92b850aaaa2b7c7c7230b..16a7de4a34b8c2c4a4a833d67a69c25d39ae9943 100644
--- a/README.md
+++ b/README.md
@@ -5,77 +5,78 @@
 ## Description
 
 `PSimPy` (Predictive and probabilistic simulation with Python) implements
-a Gaussian process emulation-based framework that enables systematically and
-efficiently inverstigating uncertainties associated with physics-based models
+a Gaussian process emulation-based framework that enables systematic and
+efficient investigation of uncertainties associated with physics-based models
 (i.e. simulators).
 
 ## Installation
 
 `PSimPy` is a pure Python package and can be easily installed using `pip`. All
 Python-related dependencies are automatically taken care of. It should be noted
-that some modules of `PSimPy` rely on / take advantage of non-Python package and
+that some modules of `PSimPy` rely on / take advantage of non-Python packages and
 software. More specifically, the emulator module `robustgasp.py` relies on the R
-package `RobustGaSP`; the simulator module `ravaflow24.py` relies on the open
-source software `r.avaflow 2.4`. If you want to use these modules or any other
-modules relying on these modules, corresponding non-Python dependencies need to
+package `RobustGaSP`; the simulator module `ravaflow3G.py` relies on the open
+source software `r.avaflow 3G` (which runs in [GRASS GIS](https://grass.osgeo.org/)). If you want to use these or any other
+dependent modules, corresponding non-Python dependencies need to
 be installed.
 
-If the simulator module `ravaflow.py` is desired, you may follow the official
-documentation of `r.avaflow 2.4` under https://www.landslidemodels.org/r.avaflow/
-to install it. The installation of the R package `RobustGaSP` is covered in
+If the simulator module `ravaflow3G.py` is desired, you may follow the official
+documentation of `r.avaflow 3G` under https://www.landslidemodels.org/r.avaflow/
+to install it. Only the installation of the R package `RobustGaSP` is covered in
 following steps.
 
 We recommond you to install `PSimPy` in a virtual environment such as a `conda`
 environment. You may want to first install `Anaconda` or `Miniconda` if you
 haven't. The steps afterwards are as follows:
 
-1. Create a conda environment with Python 3.9:
+1. Create a conda environment with Python:
 
-```bash
-conda create --name your_env_name python=3.9
-```
+    ```bash
+    $ conda create --name your_env_name python
+    ```
 
 2. Install `R` if you don't have it on your machine (if you have `R`, you can
 skip this step; alternatively, you can still follow this step to install `R` in
 the conda environment):
-```bash
-conda activate your_env_name
-conda install -c conda-forge r-base=3.6
-```
+    ```bash
+    $ conda activate your_env_name
+    $ conda install -c conda-forge r-base
+    ```
 
 3. Install the R package `RobustGaSP` in the R terminal:
-```bash
-R
-install.packages("RobustGaSP",repos="https://cran.r-project.org",version="0.6.4")
-```
-Try if it is successfully installed by
-```bash
-library("RobustGaSP")
-```
+    ```bash
+    $ R
+    ...
+    > install.packages("RobustGaSP",repos="https://cran.r-project.org",version="0.6.4")
+    ```
+    See if it is successfully installed with
+    ```bash
+    > library("RobustGaSP")
+    ```
 
 4. Configure the environment variable `R_HOME` so that `rpy2` knows where to find
 `R` packages. You can find your `R_HOME` by typing the following command in the
 R terminal:
-```bash
-R.home()
-q()
-```
-It is a path like ".../lib/R". Set the environment variable `R_HOME` in your
-conda environment by
-```bash
-conda env config vars set R_HOME=your_R_HOME
-```
-Afterwards reactivate your conda environment to make the change take effect by
-```bash
-conda deactivate
-conda activate your_env_name
-```
+    ```bash
+    > R.home()
+    > q()
+    ```
+    It is a path like `".../lib/R"`. Set the environment variable `R_HOME` in your
+    conda environment with
+    ```bash
+    $ conda env config vars set R_HOME=your_R_HOME
+    ```
+    Afterwards reactivate your conda environment to make the change take effect by
+    ```bash
+    $ conda deactivate
+    $ conda activate your_env_name
+    ```
 
 5. Install `PSimPy` using `pip` in your conda environment by
-```bash
-conda install -c conda-forge pip
-pip install psimpy
-```
+    ```bash
+    $ conda install -c conda-forge pip
+    $ python -m pip install psimpy
+    ```
 
 Now you should have `PSimPy` and its dependencies successfully installed in your
 conda environment. You can use it in the Python terminal or in your Python IDE.
@@ -84,11 +85,11 @@ If you would like to use it with Jupyter Notebook (iPython Notebook), there is
 one extra step needed to set your conda environment on your Notebook:
 
 6. Install `ipykernel` and install a kernel that points to your conda environment
-by
-```bash
-conda install -c conda-forge ipykernel
-python -m ipykernel install --user --name=your_env_name
-```
+with
+    ```bash
+    $ conda install -c conda-forge ipykernel
+    $ python -m ipykernel install --user --name=your_env_name
+    ```
 
 Now you can start your Notebook, change the kernel to your conda environment, and
 use `PSimPy`.
@@ -100,11 +101,10 @@ including the API and theory (or reference) of each module.
 
 
 ## Usage
-Usage examples are provided by the `Example Gallery` at https://mbd.pages.git-ce.rwth-aachen.de/psimpy.
+Usage examples are provided by the **Example Gallery** at https://mbd.pages.git-ce.rwth-aachen.de/psimpy.
 
 
 ## License
 
 `PSimPy` was created by Hu Zhao at the Chair of Methods for Model-based
-Development in Computational Engineering. It is licensed under the terms of
-the MIT license.
\ No newline at end of file
+Development in Computational Engineering (RWTH Aachen University, Germany). It is licensed under the terms of the MIT license.
\ No newline at end of file
diff --git a/poetry.lock b/poetry.lock
index 24985a07bf1908aaeb4aa30921c48c6a64db6f5e..bc032c5f5d243ec5fb6e4e592cb45a95b7ae8974 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -1,88 +1,221 @@
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+
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+version = "0.7.13"
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-
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+python-versions = ">=3.6"
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 [[package]]
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+version = "2.12.1"
 description = "Internationalization utilities"
 category = "dev"
 optional = false
-python-versions = ">=3.6"
-
-[package.dependencies]
-pytz = ">=2015.7"
+python-versions = ">=3.7"
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+version = "0.15.0"
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 all = ["typing-extensions (>=3.10.0.0)"]
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+test-tox-coverage = ["coverage (>=5.5)"]
 
 [[package]]
 name = "certifi"
-version = "2022.9.24"
+version = "2023.7.22"
 description = "Python package for providing Mozilla's CA Bundle."
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 [package.dependencies]
 pycparser = "*"
 
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 description = "The Real First Universal Charset Detector. Open, modern and actively maintained alternative to Chardet."
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 optional = false
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-
-[package.extras]
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 python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,!=3.5.*,!=3.6.*,>=2.7"
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 [package.dependencies]
 numpy = ">=1.16"
 
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+    {file = "coverage-7.2.7-cp39-cp39-win_amd64.whl", hash = "sha256:eb393e5ebc85245347950143969b241d08b52b88a3dc39479822e073a1a8eb27"},
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+    {file = "coverage-7.2.7.tar.gz", hash = "sha256:924d94291ca674905fe9481f12294eb11f2d3d3fd1adb20314ba89e94f44ed59"},
+]
 
 [package.dependencies]
 tomli = {version = "*", optional = true, markers = "python_full_version <= \"3.11.0a6\" and extra == \"toml\""}
@@ -131,38 +371,101 @@ description = "Composable style cycles"
 category = "main"
 optional = false
 python-versions = ">=3.6"
+files = [
+    {file = "cycler-0.11.0-py3-none-any.whl", hash = "sha256:3a27e95f763a428a739d2add979fa7494c912a32c17c4c38c4d5f082cad165a3"},
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+]
 
 [[package]]
 name = "dill"
-version = "0.3.5.1"
-description = "serialize all of python"
+version = "0.3.7"
+description = "serialize all of Python"
 category = "main"
 optional = false
-python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*, !=3.5.*, !=3.6.*"
+python-versions = ">=3.7"
+files = [
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+    {file = "dill-0.3.7.tar.gz", hash = "sha256:cc1c8b182eb3013e24bd475ff2e9295af86c1a38eb1aff128dac8962a9ce3c03"},
+]
 
 [package.extras]
 graph = ["objgraph (>=1.7.2)"]
 
 [[package]]
 name = "docutils"
-version = "0.17.1"
+version = "0.18.1"
 description = "Docutils -- Python Documentation Utilities"
 category = "dev"
 optional = false
 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*"
+files = [
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+    {file = "docutils-0.18.1.tar.gz", hash = "sha256:679987caf361a7539d76e584cbeddc311e3aee937877c87346f31debc63e9d06"},
+]
+
+[[package]]
+name = "exceptiongroup"
+version = "1.1.2"
+description = "Backport of PEP 654 (exception groups)"
+category = "dev"
+optional = false
+python-versions = ">=3.7"
+files = [
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+]
+
+[package.extras]
+test = ["pytest (>=6)"]
 
 [[package]]
 name = "fonttools"
-version = "4.33.3"
+version = "4.42.0"
 description = "Tools to manipulate font files"
 category = "main"
 optional = false
-python-versions = ">=3.7"
+python-versions = ">=3.8"
+files = [
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+    {file = "fonttools-4.42.0-cp39-cp39-win_amd64.whl", hash = "sha256:ae7df0ae9ee2f3f7676b0ff6f4ebe48ad0acaeeeaa0b6839d15dbf0709f2c5ef"},
+    {file = "fonttools-4.42.0-py3-none-any.whl", hash = "sha256:dfe7fa7e607f7e8b58d0c32501a3a7cac148538300626d1b930082c90ae7f6bd"},
+    {file = "fonttools-4.42.0.tar.gz", hash = "sha256:614b1283dca88effd20ee48160518e6de275ce9b5456a3134d5f235523fc5065"},
+]
 
 [package.extras]
-all = ["fs (>=2.2.0,<3)", "lxml (>=4.0,<5)", "zopfli (>=0.1.4)", "lz4 (>=1.7.4.2)", "matplotlib", "sympy", "skia-pathops (>=0.5.0)", "uharfbuzz (>=0.23.0)", "brotlicffi (>=0.8.0)", "scipy", "brotli (>=1.0.1)", "munkres", "unicodedata2 (>=14.0.0)", "xattr"]
+all = ["brotli (>=1.0.1)", "brotlicffi (>=0.8.0)", "fs (>=2.2.0,<3)", "lxml (>=4.0,<5)", "lz4 (>=1.7.4.2)", "matplotlib", "munkres", "scipy", "skia-pathops (>=0.5.0)", "sympy", "uharfbuzz (>=0.23.0)", "unicodedata2 (>=15.0.0)", "xattr", "zopfli (>=0.1.4)"]
 graphite = ["lz4 (>=1.7.4.2)"]
-interpolatable = ["scipy", "munkres"]
+interpolatable = ["munkres", "scipy"]
 lxml = ["lxml (>=4.0,<5)"]
 pathops = ["skia-pathops (>=0.5.0)"]
 plot = ["matplotlib"]
@@ -170,8 +473,8 @@ repacker = ["uharfbuzz (>=0.23.0)"]
 symfont = ["sympy"]
 type1 = ["xattr"]
 ufo = ["fs (>=2.2.0,<3)"]
-unicode = ["unicodedata2 (>=14.0.0)"]
-woff = ["zopfli (>=0.1.4)", "brotlicffi (>=0.8.0)", "brotli (>=1.0.1)"]
+unicode = ["unicodedata2 (>=15.0.0)"]
+woff = ["brotli (>=1.0.1)", "brotlicffi (>=0.8.0)", "zopfli (>=0.1.4)"]
 
 [[package]]
 name = "idna"
@@ -180,6 +483,10 @@ description = "Internationalized Domain Names in Applications (IDNA)"
 category = "dev"
 optional = false
 python-versions = ">=3.5"
+files = [
+    {file = "idna-3.4-py3-none-any.whl", hash = "sha256:90b77e79eaa3eba6de819a0c442c0b4ceefc341a7a2ab77d7562bf49f425c5c2"},
+    {file = "idna-3.4.tar.gz", hash = "sha256:814f528e8dead7d329833b91c5faa87d60bf71824cd12a7530b5526063d02cb4"},
+]
 
 [[package]]
 name = "imagesize"
@@ -188,30 +495,61 @@ description = "Getting image size from png/jpeg/jpeg2000/gif file"
 category = "dev"
 optional = false
 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
+files = [
+    {file = "imagesize-1.4.1-py2.py3-none-any.whl", hash = "sha256:0d8d18d08f840c19d0ee7ca1fd82490fdc3729b7ac93f49870406ddde8ef8d8b"},
+    {file = "imagesize-1.4.1.tar.gz", hash = "sha256:69150444affb9cb0d5cc5a92b3676f0b2fb7cd9ae39e947a5e11a36b4497cd4a"},
+]
 
 [[package]]
 name = "importlib-metadata"
-version = "5.1.0"
+version = "6.8.0"
 description = "Read metadata from Python packages"
 category = "dev"
 optional = false
-python-versions = ">=3.7"
+python-versions = ">=3.8"
+files = [
+    {file = "importlib_metadata-6.8.0-py3-none-any.whl", hash = "sha256:3ebb78df84a805d7698245025b975d9d67053cd94c79245ba4b3eb694abe68bb"},
+    {file = "importlib_metadata-6.8.0.tar.gz", hash = "sha256:dbace7892d8c0c4ac1ad096662232f831d4e64f4c4545bd53016a3e9d4654743"},
+]
 
 [package.dependencies]
 zipp = ">=0.5"
 
 [package.extras]
-docs = ["sphinx (>=3.5)", "jaraco.packaging (>=9)", "rst.linker (>=1.9)", "furo", "jaraco.tidelift (>=1.4)"]
+docs = ["furo", "jaraco.packaging (>=9)", "jaraco.tidelift (>=1.4)", "rst.linker (>=1.9)", "sphinx (>=3.5)", "sphinx-lint"]
 perf = ["ipython"]
-testing = ["pytest (>=6)", "pytest-checkdocs (>=2.4)", "flake8 (<5)", "pytest-cov", "pytest-enabler (>=1.3)", "packaging", "pyfakefs", "flufl.flake8", "pytest-perf (>=0.9.2)", "pytest-black (>=0.3.7)", "pytest-mypy (>=0.9.1)", "pytest-flake8", "importlib-resources (>=1.3)"]
+testing = ["flufl.flake8", "importlib-resources (>=1.3)", "packaging", "pyfakefs", "pytest (>=6)", "pytest-black (>=0.3.7)", "pytest-checkdocs (>=2.4)", "pytest-cov", "pytest-enabler (>=2.2)", "pytest-mypy (>=0.9.1)", "pytest-perf (>=0.9.2)", "pytest-ruff"]
+
+[[package]]
+name = "importlib-resources"
+version = "6.0.0"
+description = "Read resources from Python packages"
+category = "main"
+optional = false
+python-versions = ">=3.8"
+files = [
+    {file = "importlib_resources-6.0.0-py3-none-any.whl", hash = "sha256:d952faee11004c045f785bb5636e8f885bed30dc3c940d5d42798a2a4541c185"},
+    {file = "importlib_resources-6.0.0.tar.gz", hash = "sha256:4cf94875a8368bd89531a756df9a9ebe1f150e0f885030b461237bc7f2d905f2"},
+]
+
+[package.dependencies]
+zipp = {version = ">=3.1.0", markers = "python_version < \"3.10\""}
+
+[package.extras]
+docs = ["furo", "jaraco.packaging (>=9.3)", "jaraco.tidelift (>=1.4)", "rst.linker (>=1.9)", "sphinx (>=3.5)", "sphinx-lint"]
+testing = ["pytest (>=6)", "pytest-black (>=0.3.7)", "pytest-checkdocs (>=2.4)", "pytest-cov", "pytest-enabler (>=2.2)", "pytest-mypy (>=0.9.1)", "pytest-ruff"]
 
 [[package]]
 name = "iniconfig"
-version = "1.1.1"
-description = "iniconfig: brain-dead simple config-ini parsing"
+version = "2.0.0"
+description = "brain-dead simple config-ini parsing"
 category = "dev"
 optional = false
-python-versions = "*"
+python-versions = ">=3.7"
+files = [
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+]
 
 [[package]]
 name = "jinja2"
@@ -220,6 +558,10 @@ description = "A very fast and expressive template engine."
 category = "main"
 optional = false
 python-versions = ">=3.7"
+files = [
+    {file = "Jinja2-3.1.2-py3-none-any.whl", hash = "sha256:6088930bfe239f0e6710546ab9c19c9ef35e29792895fed6e6e31a023a182a61"},
+    {file = "Jinja2-3.1.2.tar.gz", hash = "sha256:31351a702a408a9e7595a8fc6150fc3f43bb6bf7e319770cbc0db9df9437e852"},
+]
 
 [package.dependencies]
 MarkupSafe = ">=2.0"
@@ -229,11 +571,81 @@ i18n = ["Babel (>=2.7)"]
 
 [[package]]
 name = "kiwisolver"
-version = "1.4.2"
+version = "1.4.4"
 description = "A fast implementation of the Cassowary constraint solver"
 category = "main"
 optional = false
 python-versions = ">=3.7"
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+]
 
 [[package]]
 name = "latexcodec"
@@ -242,157 +654,367 @@ description = "A lexer and codec to work with LaTeX code in Python."
 category = "dev"
 optional = false
 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
+files = [
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+]
 
 [package.dependencies]
 six = ">=1.4.1"
 
 [[package]]
 name = "markupsafe"
-version = "2.1.1"
+version = "2.1.3"
 description = "Safely add untrusted strings to HTML/XML markup."
 category = "main"
 optional = false
 python-versions = ">=3.7"
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 [package.extras]
-docs = ["olefile", "sphinx (>=2.4)", "sphinx-copybutton", "sphinx-issues (>=3.0.1)", "sphinx-removed-in", "sphinx-rtd-theme (>=1.0)", "sphinxext-opengraph"]
+docs = ["furo", "olefile", "sphinx (>=2.4)", "sphinx-copybutton", "sphinx-inline-tabs", "sphinx-removed-in", "sphinxext-opengraph"]
 tests = ["check-manifest", "coverage", "defusedxml", "markdown2", "olefile", "packaging", "pyroma", "pytest", "pytest-cov", "pytest-timeout"]
 
 [[package]]
 name = "pluggy"
-version = "1.0.0"
+version = "1.2.0"
 description = "plugin and hook calling mechanisms for python"
 category = "dev"
 optional = false
-python-versions = ">=3.6"
+python-versions = ">=3.7"
+files = [
+    {file = "pluggy-1.2.0-py3-none-any.whl", hash = "sha256:c2fd55a7d7a3863cba1a013e4e2414658b1d07b6bc57b3919e0c63c9abb99849"},
+    {file = "pluggy-1.2.0.tar.gz", hash = "sha256:d12f0c4b579b15f5e054301bb226ee85eeeba08ffec228092f8defbaa3a4c4b3"},
+]
 
 [package.extras]
 dev = ["pre-commit", "tox"]
 testing = ["pytest", "pytest-benchmark"]
 
-[[package]]
-name = "pox"
-version = "0.3.1"
-description = "utilities for filesystem exploration and automated builds"
-category = "main"
-optional = false
-python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*, !=3.5.*, !=3.6.*"
-
-[[package]]
-name = "ppft"
-version = "1.7.6.5"
-description = "distributed and parallel python"
-category = "main"
-optional = false
-python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*, !=3.5.*, !=3.6.*"
-
-[package.dependencies]
-six = ">=1.7.3"
-
-[package.extras]
-dill = ["dill (>=0.3.5)"]
-
-[[package]]
-name = "py"
-version = "1.11.0"
-description = "library with cross-python path, ini-parsing, io, code, log facilities"
-category = "dev"
-optional = false
-python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*"
-
 [[package]]
 name = "pybtex"
 version = "0.24.0"
@@ -400,6 +1022,10 @@ description = "A BibTeX-compatible bibliography processor in Python"
 category = "dev"
 optional = false
 python-versions = ">=2.7,!=3.0.*,!=3.1.*,!=3.2.*"
+files = [
+    {file = "pybtex-0.24.0-py2.py3-none-any.whl", hash = "sha256:e1e0c8c69998452fea90e9179aa2a98ab103f3eed894405b7264e517cc2fcc0f"},
+    {file = "pybtex-0.24.0.tar.gz", hash = "sha256:818eae35b61733e5c007c3fcd2cfb75ed1bc8b4173c1f70b56cc4c0802d34755"},
+]
 
 [package.dependencies]
 latexcodec = ">=1.0.4"
@@ -416,6 +1042,10 @@ description = "A docutils backend for pybtex."
 category = "dev"
 optional = false
 python-versions = ">=3.6"
+files = [
+    {file = "pybtex-docutils-1.0.2.tar.gz", hash = "sha256:43aa353b6d498fd5ac30f0073a98e332d061d34fe619d3d50d1761f8fd4aa016"},
+    {file = "pybtex_docutils-1.0.2-py3-none-any.whl", hash = "sha256:6f9e3c25a37bcaac8c4f69513272706ec6253bb708a93d8b4b173f43915ba239"},
+]
 
 [package.dependencies]
 docutils = ">=0.8"
@@ -428,14 +1058,22 @@ description = "C parser in Python"
 category = "main"
 optional = false
 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
+files = [
+    {file = "pycparser-2.21-py2.py3-none-any.whl", hash = "sha256:8ee45429555515e1f6b185e78100aea234072576aa43ab53aefcae078162fca9"},
+    {file = "pycparser-2.21.tar.gz", hash = "sha256:e644fdec12f7872f86c58ff790da456218b10f863970249516d60a5eaca77206"},
+]
 
 [[package]]
 name = "pygments"
-version = "2.13.0"
+version = "2.15.1"
 description = "Pygments is a syntax highlighting package written in Python."
 category = "dev"
 optional = false
-python-versions = ">=3.6"
+python-versions = ">=3.7"
+files = [
+    {file = "Pygments-2.15.1-py3-none-any.whl", hash = "sha256:db2db3deb4b4179f399a09054b023b6a586b76499d36965813c71aa8ed7b5fd1"},
+    {file = "Pygments-2.15.1.tar.gz", hash = "sha256:8ace4d3c1dd481894b2005f560ead0f9f19ee64fe983366be1a21e171d12775c"},
+]
 
 [package.extras]
 plugins = ["importlib-metadata"]
@@ -447,30 +1085,36 @@ description = "pyparsing module - Classes and methods to define and execute pars
 category = "main"
 optional = false
 python-versions = ">=3.6.8"
+files = [
+    {file = "pyparsing-3.0.9-py3-none-any.whl", hash = "sha256:5026bae9a10eeaefb61dab2f09052b9f4307d44aee4eda64b309723d8d206bbc"},
+    {file = "pyparsing-3.0.9.tar.gz", hash = "sha256:2b020ecf7d21b687f219b71ecad3631f644a47f01403fa1d1036b0c6416d70fb"},
+]
 
 [package.extras]
-diagrams = ["railroad-diagrams", "jinja2"]
+diagrams = ["jinja2", "railroad-diagrams"]
 
 [[package]]
 name = "pytest"
-version = "7.1.2"
+version = "7.4.0"
 description = "pytest: simple powerful testing with Python"
 category = "dev"
 optional = false
 python-versions = ">=3.7"
+files = [
+    {file = "pytest-7.4.0-py3-none-any.whl", hash = "sha256:78bf16451a2eb8c7a2ea98e32dc119fd2aa758f1d5d66dbf0a59d69a3969df32"},
+    {file = "pytest-7.4.0.tar.gz", hash = "sha256:b4bf8c45bd59934ed84001ad51e11b4ee40d40a1229d2c79f9c592b0a3f6bd8a"},
+]
 
 [package.dependencies]
-atomicwrites = {version = ">=1.0", markers = "sys_platform == \"win32\""}
-attrs = ">=19.2.0"
 colorama = {version = "*", markers = "sys_platform == \"win32\""}
+exceptiongroup = {version = ">=1.0.0rc8", markers = "python_version < \"3.11\""}
 iniconfig = "*"
 packaging = "*"
 pluggy = ">=0.12,<2.0"
-py = ">=1.8.2"
-tomli = ">=1.0.0"
+tomli = {version = ">=1.0.0", markers = "python_version < \"3.11\""}
 
 [package.extras]
-testing = ["argcomplete", "hypothesis (>=3.56)", "mock", "nose", "pygments (>=2.7.2)", "requests", "xmlschema"]
+testing = ["argcomplete", "attrs (>=19.2.0)", "hypothesis (>=3.56)", "mock", "nose", "pygments (>=2.7.2)", "requests", "setuptools", "xmlschema"]
 
 [[package]]
 name = "pytest-cov"
@@ -479,26 +1123,34 @@ description = "Pytest plugin for measuring coverage."
 category = "dev"
 optional = false
 python-versions = ">=3.6"
+files = [
+    {file = "pytest-cov-3.0.0.tar.gz", hash = "sha256:e7f0f5b1617d2210a2cabc266dfe2f4c75a8d32fb89eafb7ad9d06f6d076d470"},
+    {file = "pytest_cov-3.0.0-py3-none-any.whl", hash = "sha256:578d5d15ac4a25e5f961c938b85a05b09fdaae9deef3bb6de9a6e766622ca7a6"},
+]
 
 [package.dependencies]
 coverage = {version = ">=5.2.1", extras = ["toml"]}
 pytest = ">=4.6"
 
 [package.extras]
-testing = ["fields", "hunter", "process-tests", "six", "pytest-xdist", "virtualenv"]
+testing = ["fields", "hunter", "process-tests", "pytest-xdist", "six", "virtualenv"]
 
 [[package]]
 name = "pytest-order"
-version = "1.0.1"
+version = "1.1.0"
 description = "pytest plugin to run your tests in a specific order"
 category = "dev"
 optional = false
 python-versions = ">=3.6"
+files = [
+    {file = "pytest-order-1.1.0.tar.gz", hash = "sha256:139d25b30826b78eebb42722f747eab14c44b88059d7a71d4f79d14a057269a5"},
+    {file = "pytest_order-1.1.0-py3-none-any.whl", hash = "sha256:3b3730969c97900fa5cd31ecff80847680ed56b2490954565c14949ba60d9371"},
+]
 
 [package.dependencies]
 pytest = [
-    {version = ">=6.2.4", markers = "python_version >= \"3.10\""},
     {version = ">=5.0", markers = "python_version < \"3.10\""},
+    {version = ">=6.2.4", markers = "python_version >= \"3.10\""},
 ]
 
 [[package]]
@@ -508,17 +1160,25 @@ description = "Extensions to the standard Python datetime module"
 category = "main"
 optional = false
 python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,>=2.7"
+files = [
+    {file = "python-dateutil-2.8.2.tar.gz", hash = "sha256:0123cacc1627ae19ddf3c27a5de5bd67ee4586fbdd6440d9748f8abb483d3e86"},
+    {file = "python_dateutil-2.8.2-py2.py3-none-any.whl", hash = "sha256:961d03dc3453ebbc59dbdea9e4e11c5651520a876d0f4db161e8674aae935da9"},
+]
 
 [package.dependencies]
 six = ">=1.5"
 
 [[package]]
 name = "pytz"
-version = "2022.1"
+version = "2023.3"
 description = "World timezone definitions, modern and historical"
 category = "main"
 optional = false
 python-versions = "*"
+files = [
+    {file = "pytz-2023.3-py2.py3-none-any.whl", hash = "sha256:a151b3abb88eda1d4e34a9814df37de2a80e301e68ba0fd856fb9b46bfbbbffb"},
+    {file = "pytz-2023.3.tar.gz", hash = "sha256:1d8ce29db189191fb55338ee6d0387d82ab59f3d00eac103412d64e0ebd0c588"},
+]
 
 [[package]]
 name = "pytz-deprecation-shim"
@@ -527,103 +1187,179 @@ description = "Shims to make deprecation of pytz easier"
 category = "main"
 optional = false
 python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,!=3.5.*,>=2.7"
+files = [
+    {file = "pytz_deprecation_shim-0.1.0.post0-py2.py3-none-any.whl", hash = "sha256:8314c9692a636c8eb3bda879b9f119e350e93223ae83e70e80c31675a0fdc1a6"},
+    {file = "pytz_deprecation_shim-0.1.0.post0.tar.gz", hash = "sha256:af097bae1b616dde5c5744441e2ddc69e74dfdcb0c263129610d85b87445a59d"},
+]
 
 [package.dependencies]
 tzdata = {version = "*", markers = "python_version >= \"3.6\""}
 
 [[package]]
 name = "pyyaml"
-version = "6.0"
+version = "6.0.1"
 description = "YAML parser and emitter for Python"
 category = "dev"
 optional = false
 python-versions = ">=3.6"
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 [[package]]
 name = "six"
@@ -632,6 +1368,10 @@ description = "Python 2 and 3 compatibility utilities"
 category = "main"
 optional = false
 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*"
+files = [
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+]
 
 [[package]]
 name = "snowballstemmer"
@@ -640,26 +1380,34 @@ description = "This package provides 29 stemmers for 28 languages generated from
 category = "dev"
 optional = false
 python-versions = "*"
+files = [
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+python-versions = ">=3.8"
+files = [
+    {file = "Sphinx-6.2.1.tar.gz", hash = "sha256:6d56a34697bb749ffa0152feafc4b19836c755d90a7c59b72bc7dfd371b9cc6b"},
+    {file = "sphinx-6.2.1-py3-none-any.whl", hash = "sha256:97787ff1fa3256a3eef9eda523a63dbf299f7b47e053cfcf684a1c2a8380c912"},
+]
 
 [package.dependencies]
 alabaster = ">=0.7,<0.8"
 babel = ">=2.9"
 colorama = {version = ">=0.4.5", markers = "sys_platform == \"win32\""}
-docutils = ">=0.14,<0.20"
+docutils = ">=0.18.1,<0.20"
 imagesize = ">=1.3"
 importlib-metadata = {version = ">=4.8", markers = "python_version < \"3.10\""}
 Jinja2 = ">=3.0"
 packaging = ">=21.0"
-Pygments = ">=2.12"
-requests = ">=2.5.0"
+Pygments = ">=2.13"
+requests = ">=2.25.0"
 snowballstemmer = ">=2.0"
 sphinxcontrib-applehelp = "*"
 sphinxcontrib-devhelp = "*"
@@ -670,23 +1418,27 @@ sphinxcontrib-serializinghtml = ">=1.1.5"
 
 [package.extras]
 docs = ["sphinxcontrib-websupport"]
-lint = ["flake8 (>=3.5.0)", "flake8-comprehensions", "flake8-bugbear", "flake8-simplify", "isort", "mypy (>=0.981)", "sphinx-lint", "docutils-stubs", "types-typed-ast", "types-requests"]
-test = ["pytest (>=4.6)", "html5lib", "typed-ast", "cython"]
+lint = ["docutils-stubs", "flake8 (>=3.5.0)", "flake8-simplify", "isort", "mypy (>=0.990)", "ruff", "sphinx-lint", "types-requests"]
+test = ["cython", "filelock", "html5lib", "pytest (>=4.6)"]
 
 [[package]]
 name = "sphinx-autodoc-typehints"
-version = "1.19.5"
+version = "1.23.0"
 description = "Type hints (PEP 484) support for the Sphinx autodoc extension"
 category = "dev"
 optional = false
 python-versions = ">=3.7"
+files = [
+    {file = "sphinx_autodoc_typehints-1.23.0-py3-none-any.whl", hash = "sha256:ac099057e66b09e51b698058ba7dd76e57e1fe696cd91b54e121d3dad188f91d"},
+    {file = "sphinx_autodoc_typehints-1.23.0.tar.gz", hash = "sha256:5d44e2996633cdada499b6d27a496ddf9dbc95dd1f0f09f7b37940249e61f6e9"},
+]
 
 [package.dependencies]
 sphinx = ">=5.3"
 
 [package.extras]
-docs = ["furo (>=2022.9.29)", "sphinx-autodoc-typehints (>=1.19.4)", "sphinx (>=5.3)"]
-testing = ["covdefaults (>=2.2)", "coverage (>=6.5)", "diff-cover (>=7.0.1)", "nptyping (>=2.3.1)", "pytest-cov (>=4)", "pytest (>=7.2)", "sphobjinv (>=2.2.2)", "typing-extensions (>=4.4)"]
+docs = ["furo (>=2022.12.7)", "sphinx (>=6.1.3)", "sphinx-autodoc-typehints (>=1.23.4)"]
+testing = ["covdefaults (>=2.2.2)", "coverage (>=7.2.2)", "diff-cover (>=7.5)", "nptyping (>=2.5)", "pytest (>=7.2.2)", "pytest-cov (>=4)", "sphobjinv (>=2.3.1)", "typing-extensions (>=4.5)"]
 type-comment = ["typed-ast (>=1.5.4)"]
 
 [[package]]
@@ -696,35 +1448,48 @@ description = "A Sphinx extension that builds an HTML version of any Python scri
 category = "dev"
 optional = false
 python-versions = ">=3.7"
+files = [
+    {file = "sphinx-gallery-0.11.1.tar.gz", hash = "sha256:56ccb29a0c2c4767d2a66617ba6ea7893e3a3885b6d972c62783a3b45b583ea5"},
+    {file = "sphinx_gallery-0.11.1-py3-none-any.whl", hash = "sha256:b165cb366a5768a0f36e60e5bc6828fbf55fd1831e71645310167375223aa25c"},
+]
 
 [package.dependencies]
 sphinx = ">=3"
 
 [[package]]
 name = "sphinx-rtd-theme"
-version = "1.1.1"
+version = "1.2.2"
 description = "Read the Docs theme for Sphinx"
 category = "dev"
 optional = false
-python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,>=2.7"
+python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,!=3.5.*,>=2.7"
+files = [
+    {file = "sphinx_rtd_theme-1.2.2-py2.py3-none-any.whl", hash = "sha256:6a7e7d8af34eb8fc57d52a09c6b6b9c46ff44aea5951bc831eeb9245378f3689"},
+    {file = "sphinx_rtd_theme-1.2.2.tar.gz", hash = "sha256:01c5c5a72e2d025bd23d1f06c59a4831b06e6ce6c01fdd5ebfe9986c0a880fc7"},
+]
 
 [package.dependencies]
-docutils = "<0.18"
-sphinx = ">=1.6,<6"
+docutils = "<0.19"
+sphinx = ">=1.6,<7"
+sphinxcontrib-jquery = ">=4,<5"
 
 [package.extras]
-dev = ["transifex-client", "sphinxcontrib-httpdomain", "bump2version", "wheel"]
+dev = ["bump2version", "sphinxcontrib-httpdomain", "transifex-client", "wheel"]
 
 [[package]]
 name = "sphinxcontrib-applehelp"
-version = "1.0.2"
-description = "sphinxcontrib-applehelp is a sphinx extension which outputs Apple help books"
+version = "1.0.4"
+description = "sphinxcontrib-applehelp is a Sphinx extension which outputs Apple help books"
 category = "dev"
 optional = false
-python-versions = ">=3.5"
+python-versions = ">=3.8"
+files = [
+    {file = "sphinxcontrib-applehelp-1.0.4.tar.gz", hash = "sha256:828f867945bbe39817c210a1abfd1bc4895c8b73fcaade56d45357a348a07d7e"},
+    {file = "sphinxcontrib_applehelp-1.0.4-py3-none-any.whl", hash = "sha256:29d341f67fb0f6f586b23ad80e072c8e6ad0b48417db2bde114a4c9746feb228"},
+]
 
 [package.extras]
-lint = ["flake8", "mypy", "docutils-stubs"]
+lint = ["docutils-stubs", "flake8", "mypy"]
 test = ["pytest"]
 
 [[package]]
@@ -734,6 +1499,10 @@ description = "Sphinx extension for BibTeX style citations."
 category = "dev"
 optional = false
 python-versions = ">=3.6"
+files = [
+    {file = "sphinxcontrib-bibtex-2.5.0.tar.gz", hash = "sha256:71b42e5db0e2e284f243875326bf9936aa9a763282277d75048826fef5b00eaa"},
+    {file = "sphinxcontrib_bibtex-2.5.0-py3-none-any.whl", hash = "sha256:748f726eaca6efff7731012103417ef130ecdcc09501b4d0c54283bf5f059f76"},
+]
 
 [package.dependencies]
 docutils = ">=0.8"
@@ -749,22 +1518,45 @@ description = "sphinxcontrib-devhelp is a sphinx extension which outputs Devhelp
 category = "dev"
 optional = false
 python-versions = ">=3.5"
+files = [
+    {file = "sphinxcontrib-devhelp-1.0.2.tar.gz", hash = "sha256:ff7f1afa7b9642e7060379360a67e9c41e8f3121f2ce9164266f61b9f4b338e4"},
+    {file = "sphinxcontrib_devhelp-1.0.2-py2.py3-none-any.whl", hash = "sha256:8165223f9a335cc1af7ffe1ed31d2871f325254c0423bc0c4c7cd1c1e4734a2e"},
+]
 
 [package.extras]
-lint = ["flake8", "mypy", "docutils-stubs"]
+lint = ["docutils-stubs", "flake8", "mypy"]
 test = ["pytest"]
 
 [[package]]
 name = "sphinxcontrib-htmlhelp"
-version = "2.0.0"
+version = "2.0.1"
 description = "sphinxcontrib-htmlhelp is a sphinx extension which renders HTML help files"
 category = "dev"
 optional = false
-python-versions = ">=3.6"
+python-versions = ">=3.8"
+files = [
+    {file = "sphinxcontrib-htmlhelp-2.0.1.tar.gz", hash = "sha256:0cbdd302815330058422b98a113195c9249825d681e18f11e8b1f78a2f11efff"},
+    {file = "sphinxcontrib_htmlhelp-2.0.1-py3-none-any.whl", hash = "sha256:c38cb46dccf316c79de6e5515e1770414b797162b23cd3d06e67020e1d2a6903"},
+]
 
 [package.extras]
-lint = ["flake8", "mypy", "docutils-stubs"]
-test = ["pytest", "html5lib"]
+lint = ["docutils-stubs", "flake8", "mypy"]
+test = ["html5lib", "pytest"]
+
+[[package]]
+name = "sphinxcontrib-jquery"
+version = "4.1"
+description = "Extension to include jQuery on newer Sphinx releases"
+category = "dev"
+optional = false
+python-versions = ">=2.7"
+files = [
+    {file = "sphinxcontrib-jquery-4.1.tar.gz", hash = "sha256:1620739f04e36a2c779f1a131a2dfd49b2fd07351bf1968ced074365933abc7a"},
+    {file = "sphinxcontrib_jquery-4.1-py2.py3-none-any.whl", hash = "sha256:f936030d7d0147dd026a4f2b5a57343d233f1fc7b363f68b3d4f1cb0993878ae"},
+]
+
+[package.dependencies]
+Sphinx = ">=1.8"
 
 [[package]]
 name = "sphinxcontrib-jsmath"
@@ -773,9 +1565,13 @@ description = "A sphinx extension which renders display math in HTML via JavaScr
 category = "dev"
 optional = false
 python-versions = ">=3.5"
+files = [
+    {file = "sphinxcontrib-jsmath-1.0.1.tar.gz", hash = "sha256:a9925e4a4587247ed2191a22df5f6970656cb8ca2bd6284309578f2153e0c4b8"},
+    {file = "sphinxcontrib_jsmath-1.0.1-py2.py3-none-any.whl", hash = "sha256:2ec2eaebfb78f3f2078e73666b1415417a116cc848b72e5172e596c871103178"},
+]
 
 [package.extras]
-test = ["pytest", "flake8", "mypy"]
+test = ["flake8", "mypy", "pytest"]
 
 [[package]]
 name = "sphinxcontrib-qthelp"
@@ -784,9 +1580,13 @@ description = "sphinxcontrib-qthelp is a sphinx extension which outputs QtHelp d
 category = "dev"
 optional = false
 python-versions = ">=3.5"
+files = [
+    {file = "sphinxcontrib-qthelp-1.0.3.tar.gz", hash = "sha256:4c33767ee058b70dba89a6fc5c1892c0d57a54be67ddd3e7875a18d14cba5a72"},
+    {file = "sphinxcontrib_qthelp-1.0.3-py2.py3-none-any.whl", hash = "sha256:bd9fc24bcb748a8d51fd4ecaade681350aa63009a347a8c14e637895444dfab6"},
+]
 
 [package.extras]
-lint = ["flake8", "mypy", "docutils-stubs"]
+lint = ["docutils-stubs", "flake8", "mypy"]
 test = ["pytest"]
 
 [[package]]
@@ -796,549 +1596,93 @@ description = "sphinxcontrib-serializinghtml is a sphinx extension which outputs
 category = "dev"
 optional = false
 python-versions = ">=3.5"
+files = [
+    {file = "sphinxcontrib-serializinghtml-1.1.5.tar.gz", hash = "sha256:aa5f6de5dfdf809ef505c4895e51ef5c9eac17d0f287933eb49ec495280b6952"},
+    {file = "sphinxcontrib_serializinghtml-1.1.5-py2.py3-none-any.whl", hash = "sha256:352a9a00ae864471d3a7ead8d7d79f5fc0b57e8b3f95e9867eb9eb28999b92fd"},
+]
 
 [package.extras]
-lint = ["flake8", "mypy", "docutils-stubs"]
+lint = ["docutils-stubs", "flake8", "mypy"]
 test = ["pytest"]
 
 [[package]]
 name = "tomli"
 version = "2.0.1"
 description = "A lil' TOML parser"
-category = "main"
-optional = false
-python-versions = ">=3.7"
-
-[[package]]
-name = "typing-extensions"
-version = "4.4.0"
-description = "Backported and Experimental Type Hints for Python 3.7+"
-category = "main"
+category = "dev"
 optional = false
 python-versions = ">=3.7"
+files = [
+    {file = "tomli-2.0.1-py3-none-any.whl", hash = "sha256:939de3e7a6161af0c887ef91b7d41a53e7c5a1ca976325f429cb46ea9bc30ecc"},
+    {file = "tomli-2.0.1.tar.gz", hash = "sha256:de526c12914f0c550d15924c62d72abc48d6fe7364aa87328337a31007fe8a4f"},
+]
 
 [[package]]
 name = "tzdata"
-version = "2022.1"
+version = "2023.3"
 description = "Provider of IANA time zone data"
 category = "main"
 optional = false
 python-versions = ">=2"
+files = [
+    {file = "tzdata-2023.3-py2.py3-none-any.whl", hash = "sha256:7e65763eef3120314099b6939b5546db7adce1e7d6f2e179e3df563c70511eda"},
+    {file = "tzdata-2023.3.tar.gz", hash = "sha256:11ef1e08e54acb0d4f95bdb1be05da659673de4acbd21bf9c69e94cc5e907a3a"},
+]
 
 [[package]]
 name = "tzlocal"
-version = "4.2"
+version = "4.3.1"
 description = "tzinfo object for the local timezone"
 category = "main"
 optional = false
-python-versions = ">=3.6"
+python-versions = ">=3.7"
+files = [
+    {file = "tzlocal-4.3.1-py3-none-any.whl", hash = "sha256:67d7e7f4ce0a98e9dfde2e02474c60fe846ed032d78b555c554c2e9cba472d84"},
+    {file = "tzlocal-4.3.1.tar.gz", hash = "sha256:ee32ef8c20803c19a96ed366addd3d4a729ef6309cb5c7359a0cc2eeeb7fa46a"},
+]
 
 [package.dependencies]
 pytz-deprecation-shim = "*"
 tzdata = {version = "*", markers = "platform_system == \"Windows\""}
 
 [package.extras]
-devenv = ["black", "pyroma", "pytest-cov", "zest.releaser"]
-test = ["pytest-mock (>=3.3)", "pytest (>=4.3)"]
+devenv = ["black", "check-manifest", "flake8", "pyroma", "pytest (>=4.3)", "pytest-cov", "pytest-mock (>=3.3)", "zest.releaser"]
 
 [[package]]
 name = "urllib3"
-version = "1.26.13"
+version = "2.0.4"
 description = "HTTP library with thread-safe connection pooling, file post, and more."
 category = "dev"
 optional = false
-python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*, !=3.5.*"
+python-versions = ">=3.7"
+files = [
+    {file = "urllib3-2.0.4-py3-none-any.whl", hash = "sha256:de7df1803967d2c2a98e4b11bb7d6bd9210474c46e8a0401514e3a42a75ebde4"},
+    {file = "urllib3-2.0.4.tar.gz", hash = "sha256:8d22f86aae8ef5e410d4f539fde9ce6b2113a001bb4d189e0aed70642d602b11"},
+]
 
 [package.extras]
-brotli = ["brotlicffi (>=0.8.0)", "brotli (>=1.0.9)", "brotlipy (>=0.6.0)"]
-secure = ["pyOpenSSL (>=0.14)", "cryptography (>=1.3.4)", "idna (>=2.0.0)", "certifi", "urllib3-secure-extra", "ipaddress"]
-socks = ["PySocks (>=1.5.6,!=1.5.7,<2.0)"]
+brotli = ["brotli (>=1.0.9)", "brotlicffi (>=0.8.0)"]
+secure = ["certifi", "cryptography (>=1.9)", "idna (>=2.0.0)", "pyopenssl (>=17.1.0)", "urllib3-secure-extra"]
+socks = ["pysocks (>=1.5.6,!=1.5.7,<2.0)"]
+zstd = ["zstandard (>=0.18.0)"]
 
 [[package]]
 name = "zipp"
-version = "3.11.0"
+version = "3.16.2"
 description = "Backport of pathlib-compatible object wrapper for zip files"
-category = "dev"
+category = "main"
 optional = false
-python-versions = ">=3.7"
+python-versions = ">=3.8"
+files = [
+    {file = "zipp-3.16.2-py3-none-any.whl", hash = "sha256:679e51dd4403591b2d6838a48de3d283f3d188412a9782faadf845f298736ba0"},
+    {file = "zipp-3.16.2.tar.gz", hash = "sha256:ebc15946aa78bd63458992fc81ec3b6f7b1e92d51c35e6de1c3804e73b799147"},
+]
 
 [package.extras]
-docs = ["sphinx (>=3.5)", "jaraco.packaging (>=9)", "rst.linker (>=1.9)", "furo", "jaraco.tidelift (>=1.4)"]
-testing = ["pytest (>=6)", "pytest-checkdocs (>=2.4)", "flake8 (<5)", "pytest-cov", "pytest-enabler (>=1.3)", "jaraco.itertools", "func-timeout", "jaraco.functools", "more-itertools", "pytest-black (>=0.3.7)", "pytest-mypy (>=0.9.1)", "pytest-flake8"]
+docs = ["furo", "jaraco.packaging (>=9.3)", "jaraco.tidelift (>=1.4)", "rst.linker (>=1.9)", "sphinx (>=3.5)", "sphinx-lint"]
+testing = ["big-O", "jaraco.functools", "jaraco.itertools", "more-itertools", "pytest (>=6)", "pytest-black (>=0.3.7)", "pytest-checkdocs (>=2.4)", "pytest-cov", "pytest-enabler (>=2.2)", "pytest-ignore-flaky", "pytest-mypy (>=0.9.1)", "pytest-ruff"]
 
 [metadata]
-lock-version = "1.1"
-python-versions = ">=3.9,<3.11"
-content-hash = "cdf3daaa7e2621481dec8eab36dad474fafda9823c8982a6b42f1e7d10004ca5"
-
-[metadata.files]
-alabaster = [
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-urllib3 = []
-zipp = []
+lock-version = "2.0"
+python-versions = ">=3.9"
+content-hash = "3eb7cafbf58e8b1e7595c719872db5e9f8a209e263de3b68051bc9707b6dbbcb"
diff --git a/pyproject.toml b/pyproject.toml
index ef43343d92abdf1fac75a7058fbc99e927a62476..6dcfce8567e2244b34a5c1181ea7c0473262723c 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -1,6 +1,6 @@
 [tool.poetry]
 name = "psimpy"
-version = "0.1.2"
+version = "0.1.3"
 description = "Predictive and probabilistic simulation tools."
 authors = ["Hu Zhao"]
 license = "MIT"
@@ -9,15 +9,15 @@ homepage = "https://git-ce.rwth-aachen.de/mbd/psimpy"
 keywords = ["emulator","simulator","inference", "sensitivity","uncertainty"]
 
 [tool.poetry.dependencies]
-python = ">=3.9,<3.11"
-numpy = "^1.22.3"
-scipy = "^1.8.0"
-SALib = "^1.4.5"
-rpy2 = "^3.5.1"
-beartype = "^0.11.0"
+python = ">=3.9"
+numpy = ">1.22.3"
+scipy = ">1.8.0"
+SALib = ">1.4.5"
+rpy2 = "=3.5.12" # 3.5.13 seems to be broken
+beartype = ">0.11.0"
 
 [tool.poetry.dev-dependencies]
-pytest = "^7.1.1"
+pytest = ">7.1.1"
 pytest-cov = "^3.0.0"
 pytest-order = "^1.0.1"
 matplotlib = "^3.6.1"
@@ -28,4 +28,4 @@ sphinxcontrib-bibtex = "^2.5.0"
 
 [build-system]
 requires = ["poetry-core>=1.0.0"]
-build-backend = "poetry.core.masonry.api"
\ No newline at end of file
+build-backend = "poetry.core.masonry.api"
diff --git a/src/psimpy/emulator/robustgasp.py b/src/psimpy/emulator/robustgasp.py
index 8532604379246a8464f1b695c85f76f2d44eb3cb..3a7572cd8095b0d693bc3db8ed11c111cf8a9a35 100644
--- a/src/psimpy/emulator/robustgasp.py
+++ b/src/psimpy/emulator/robustgasp.py
@@ -7,25 +7,34 @@ from typing import Union
 from beartype import beartype
 
 rpy2.robjects.numpy2ri.activate()
-RobustGaSP = importr('RobustGaSP')
+RobustGaSP = importr("RobustGaSP")
 
 # fetch @
 r_base = importr("base")
 r_at = r_base.__dict__["@"]
 
-class RobustGaSPBase:
 
+class RobustGaSPBase:
     @beartype
     def __init__(
-        self, ndim: int, zero_mean: str = 'No', nugget: float = 0.0,
+        self,
+        ndim: int,
+        zero_mean: str = "No",
+        nugget: float = 0.0,
         nugget_est: bool = False,
-        range_par: Union[np.ndarray, NALogicalType] = NA, 
-        method: str ='post_mode', prior_choice: str = 'ref_approx',
-        a: float = 0.2, b: Union[float, None] = None,
-        kernel_type: str = 'matern_5_2',
-        isotropic: bool = False, optimization: str = 'lbfgs',
-        alpha: Union[np.ndarray, None] = None, lower_bound: bool = True,
-        max_eval: Union[int, None] = None, num_initial_values: int = 2) -> None:
+        range_par: Union[np.ndarray, NALogicalType] = NA,
+        method: str = "post_mode",
+        prior_choice: str = "ref_approx",
+        a: float = 0.2,
+        b: Union[float, None] = None,
+        kernel_type: str = "matern_5_2",
+        isotropic: bool = False,
+        optimization: str = "lbfgs",
+        alpha: Union[np.ndarray, None] = None,
+        lower_bound: bool = True,
+        max_eval: Union[int, None] = None,
+        num_initial_values: int = 2,
+    ) -> None:
         """
         Set up basic parameters of the emulator.
 
@@ -33,11 +42,11 @@ class RobustGaSPBase:
         ----------
         ndim : int
             Input parameter dimension.
-        zero_mean : str, optional 
+        zero_mean : str, optional
             If `'Yes'`, the mean is set to zero. If `'No'`, the mean is
             specified by ``trend``. Default is `'No'`.
         nugget : float, optional
-            Nugget variance ratio. 
+            Nugget variance ratio.
             If :math:`0`, there is no nugget or the nugget is estimated.
             If not :math:`0`, it means a fixed nugget. Default is :math:`0`.
         nugget_est : bool, optional
@@ -102,7 +111,7 @@ class RobustGaSPBase:
         """
         self.ndim = ndim
 
-        if zero_mean not in ['No', 'Yes']:
+        if zero_mean not in ["No", "Yes"]:
             raise ValueError("zero_mean can be either 'No' or 'Yes'.")
         self.zero_mean = zero_mean
 
@@ -111,35 +120,34 @@ class RobustGaSPBase:
 
         if range_par is not NA:
             if range_par.ndim != 1 or len(range_par) != ndim:
-                raise ValueError(
-                    "range_par must be 1d numpy array of length ndim")
+                raise ValueError("range_par must be 1d numpy array of length ndim")
         self.range_par = range_par
 
-        if method not in ['post_mode', 'mmle', 'mle']:
-            raise ValueError(
-                "method can only be 'post_mode', 'mmle', or 'mle'.")
+        if method not in ["post_mode", "mmle", "mle"]:
+            raise ValueError("method can only be 'post_mode', 'mmle', or 'mle'.")
         self.method = method
 
-        if prior_choice not in ['ref_xi', 'ref_gamma', 'ref_approx']:
+        if prior_choice not in ["ref_xi", "ref_gamma", "ref_approx"]:
             raise ValueError(
-                "prior_choice can only be 'ref_xi', 'ref_gamma',"
-                " or 'ref_approx'.")
+                "prior_choice can only be 'ref_xi', 'ref_gamma'," " or 'ref_approx'."
+            )
         self.prior_choice = prior_choice
 
         self.a = float(a)
         self.b = b
 
-        if kernel_type not in ['matern_3_2', 'matern_5_2', 'pow_exp']:
+        if kernel_type not in ["matern_3_2", "matern_5_2", "pow_exp"]:
             raise ValueError(
-                "kernel_type can only be 'matern_3_2', 'matern_5_2',"
-                " or 'pow_exp'.")
+                "kernel_type can only be 'matern_3_2', 'matern_5_2'," " or 'pow_exp'."
+            )
         self.kernel_type = kernel_type
 
         self.isotropic = isotropic
 
-        if optimization not in ['lbfgs', 'nelder-mead', 'brent']:
+        if optimization not in ["lbfgs", "nelder-mead", "brent"]:
             raise ValueError(
-                "optimization can only be 'lbfgs', 'nelder-mead', or 'brent'.")
+                "optimization can only be 'lbfgs', 'nelder-mead', or 'brent'."
+            )
         self.optimization = optimization
 
         if alpha is None:
@@ -151,15 +159,16 @@ class RobustGaSPBase:
         self.lower_bound = lower_bound
 
         if max_eval is None:
-            max_eval = int(max(30, 20 + 5*ndim))
+            max_eval = int(max(30, 20 + 5 * ndim))
         self.max_eval = max_eval
 
         self.num_initial_values = int(num_initial_values)
 
         self.emulator = None
-    
-    def _preprocess_design_response_trend(self, design: np.ndarray,
-        response: np.ndarray, trend: np.ndarray) -> None:
+
+    def _preprocess_design_response_trend(
+        self, design: np.ndarray, response: np.ndarray, trend: np.ndarray
+    ) -> None:
         """
         Preprocess design, response, and trend before train an emulator.
 
@@ -186,7 +195,7 @@ class RobustGaSPBase:
             raise ValueError("design must be 1d or 2d numpy array.")
         elif design.ndim == 1:
             design = np.reshape(design, (len(design), 1))
-        
+
         if design.shape[1] != self.ndim:
             raise ValueError("design must match the input dimension ndim")
 
@@ -197,8 +206,7 @@ class RobustGaSPBase:
         elif response.ndim == 1:
             response = np.reshape(response, (len(response), 1))
         if response.shape[0] != design.shape[0]:
-            raise ValueError(
-                "response must have same number of points as design")
+            raise ValueError("response must have same number of points as design")
         self.response = response.astype(np.float32)
 
         if trend is None:
@@ -211,17 +219,19 @@ class RobustGaSPBase:
             raise ValueError("trend must have same numer of points as design")
         self.trend = trend.astype(np.float32)
 
-        if self.zero_mean == 'Yes':
+        if self.zero_mean == "Yes":
             self.trend = np.zeros((design.shape[0], 1), dtype=np.float32)
-        
+
         if self.b is None:
-            self._b = (1 / design.shape[0])**(1 / design.shape[1]) * \
-                (self.a + design.shape[1])
+            self._b = (1 / design.shape[0]) ** (1 / design.shape[1]) * (
+                self.a + design.shape[1]
+            )
         else:
             self._b = self.b
 
-    def _preprocess_testing_input_trend(self, testing_input: np.ndarray,
-        testing_trend: np.ndarray) -> None:
+    def _preprocess_testing_input_trend(
+        self, testing_input: np.ndarray, testing_trend: np.ndarray
+    ) -> None:
         """
         Preprocess testing_input and testing_trend before make prediction or
         draw samples.
@@ -244,10 +254,9 @@ class RobustGaSPBase:
             raise ValueError("testing_input must be 1d or 2d numpy array.")
         elif testing_input.ndim == 1:
             testing_input = np.reshape(testing_input, (len(testing_input), 1))
-        
+
         if testing_input.shape[1] != self.ndim:
-            raise ValueError(
-                "testing_input must match the input dimension ndim")
+            raise ValueError("testing_input must match the input dimension ndim")
 
         self.testing_input = testing_input.astype(np.float32)
 
@@ -259,23 +268,29 @@ class RobustGaSPBase:
             raise ValueError("testing_trend must be 1d or 2d numpy array.")
         elif testing_trend.ndim == 1:
             testing_trend = np.reshape(testing_trend, (len(testing_trend), 1))
-        
+
         self.testing_trend = testing_trend.astype(np.float32)
 
         if testing_trend.shape[0] != testing_input.shape[0]:
             raise ValueError(
-                "testing_trend must have same numer of points as testing_input")
+                "testing_trend must have same numer of points as testing_input"
+            )
 
         if testing_trend.shape[1] != self.trend.shape[1]:
             raise ValueError(
                 "testing_trend must have the same basis as the trend used"
-                " for emulator training.")
+                " for emulator training."
+            )
 
-class ScalarGaSP(RobustGaSPBase):
 
+class ScalarGaSP(RobustGaSPBase):
     @beartype
-    def train(self, design: np.ndarray, response: np.ndarray,
-        trend: Union[np.ndarray, None] = None) -> None:
+    def train(
+        self,
+        design: np.ndarray,
+        response: np.ndarray,
+        trend: Union[np.ndarray, None] = None,
+    ) -> None:
         """
         Train a scalar GP given training data.
 
@@ -318,11 +333,13 @@ class ScalarGaSP(RobustGaSPBase):
             alpha=self.alpha,
             lower_bound=self.lower_bound,
             max_eval=self.max_eval,
-            num_initial_values=self.num_initial_values)
-    
+            num_initial_values=self.num_initial_values,
+        )
+
     @beartype
-    def predict(self, testing_input: np.ndarray,
-        testing_trend: Union[np.ndarray, None] = None) -> np.ndarray:
+    def predict(
+        self, testing_input: np.ndarray, testing_trend: Union[np.ndarray, None] = None
+    ) -> np.ndarray:
         """
         Make prediction using the trained scalar GP emulator.
 
@@ -345,7 +362,7 @@ class ScalarGaSP(RobustGaSPBase):
             Emulator-prediction at ``testing_input``. Shape :code:`(ntest, 4)`.
             `predictions[:, 0]` - mean,
             `predictions[:, 1]` - low95,
-            `predictions[:, 2]` - upper95, 
+            `predictions[:, 2]` - upper95,
             `predictions[:, 3]` - sd
         """
         if self.emulator is None:
@@ -358,14 +375,19 @@ class ScalarGaSP(RobustGaSPBase):
             self.testing_input,
             testing_trend=self.testing_trend,
             interval_data=True,
-            outasS3=True)
+            outasS3=True,
+        )
         predictions = np.transpose(np.array(r_predictions))
 
         return predictions
 
     @beartype
-    def sample(self, testing_input: np.ndarray, nsamples: int = 1,
-        testing_trend: Union[np.ndarray, None] = None) -> np.ndarray:
+    def sample(
+        self,
+        testing_input: np.ndarray,
+        nsamples: int = 1,
+        testing_trend: Union[np.ndarray, None] = None,
+    ) -> np.ndarray:
         """
         Draw samples using the trained scalar GP emulator.
 
@@ -392,14 +414,15 @@ class ScalarGaSP(RobustGaSPBase):
         """
         if self.emulator is None:
             raise RuntimeError("Emulator has not been trained!")
-        
+
         self._preprocess_testing_input_trend(testing_input, testing_trend)
 
         r_samples = RobustGaSP.Sample(
             self.emulator,
             self.testing_input,
             num_sample=nsamples,
-            testing_trend=self.testing_trend)
+            testing_trend=self.testing_trend,
+        )
         samples = np.array(r_samples)
 
         return samples
@@ -412,8 +435,8 @@ class ScalarGaSP(RobustGaSPBase):
         -------
         validation : numpy array
             Shape :code:`(n, 2)`.
-            validation[:, 0] - leave one out fitted values,
-            validation[:, 1] - stand deviation of each prediction
+            validation[:, 0] - leave-one-out fitted values
+            validation[:, 1] - standard deviation of each prediction
         """
         if self.emulator is None:
             raise RuntimeError("Emulator has not been trained!")
@@ -425,16 +448,19 @@ class ScalarGaSP(RobustGaSPBase):
 
 
 class PPGaSP(RobustGaSPBase):
-
     @beartype
-    def train(self, design: np.ndarray, response: np.ndarray,
-        trend: Union[np.ndarray, None] = None) -> None:
+    def train(
+        self,
+        design: np.ndarray,
+        response: np.ndarray,
+        trend: Union[np.ndarray, None] = None,
+    ) -> None:
         """
         Train a parallel partial GP given training data.
 
         Parameters
         ----------
-        design : numpy array 
+        design : numpy array
             Training input points. Shape :code:`(ntrain, ndim)`.
             ``ntrain`` is the number of training points, ``ndim`` is the input
             dimension. If :math:`ndim=1`, both :code:`(ndim, 1)` and
@@ -453,8 +479,9 @@ class PPGaSP(RobustGaSPBase):
         if self.response.shape[1] == 1:
             raise RuntimeError(
                 "PPGaSP should be used for models with vector output."
-                " For scalar output model, please use ScalarGaSP.")
-        
+                " For scalar output model, please use ScalarGaSP."
+            )
+
         self.emulator = RobustGaSP.ppgasp(
             design=self.design,
             response=self.response,
@@ -473,11 +500,13 @@ class PPGaSP(RobustGaSPBase):
             alpha=self.alpha,
             lower_bound=self.lower_bound,
             max_eval=self.max_eval,
-            num_initial_values=self.num_initial_values)
+            num_initial_values=self.num_initial_values,
+        )
 
     @beartype
-    def predict(self, testing_input: np.ndarray,
-        testing_trend: Union[np.ndarray, None] = None) -> np.ndarray:
+    def predict(
+        self, testing_input: np.ndarray, testing_trend: Union[np.ndarray, None] = None
+    ) -> np.ndarray:
         """
         Make prediction using the trained parallel partial GP emulator.
 
@@ -514,7 +543,8 @@ class PPGaSP(RobustGaSPBase):
             self.testing_input,
             testing_trend=self.testing_trend,
             interval_data=True,
-            outasS3=True)
+            outasS3=True,
+        )
 
         ntest = self.testing_input.shape[0]
         nresponse = self.response.shape[1]
@@ -526,8 +556,12 @@ class PPGaSP(RobustGaSPBase):
         return predictions
 
     @beartype
-    def sample(self, testing_input: np.ndarray, nsamples: int = 1,
-        testing_trend: Union[np.ndarray, None] = None) -> np.ndarray:
+    def sample(
+        self,
+        testing_input: np.ndarray,
+        nsamples: int = 1,
+        testing_trend: Union[np.ndarray, None] = None,
+    ) -> np.ndarray:
         """
         Draw samples using the trained parallel partial GaSP emulator.
 
@@ -549,7 +583,7 @@ class PPGaSP(RobustGaSPBase):
         Returns
         -------
         samples : numpy array
-            Shape :code:`(ntest, nresponse, nsamples)`. 
+            Shape :code:`(ntest, nresponse, nsamples)`.
             `samples[:, :, i]` corresponds to i-th realization of the trained
             emulator at ``testing_input``, i=1, ..., ``nsamples``.
         """
@@ -557,16 +591,16 @@ class PPGaSP(RobustGaSPBase):
             raise RuntimeError("Emulator has not been trained!")
 
         self._preprocess_testing_input_trend(testing_input, testing_trend)
-        
+
         ntest = self.testing_input.shape[0]
         nresponse = self.response.shape[1]
-        
+
         # extract trained parameters of ppgasp_emulator
         sigma2_hat = r_at(self.emulator, "sigma2_hat")
         nugget = r_at(self.emulator, "nugget")[0]
         beta_hat = r_at(self.emulator, "beta_hat")
-        range_par = 1/beta_hat
-        
+        range_par = 1 / beta_hat
+
         # set up a rgasp_emulator using trained parameters of ppgasp_emulator
         rgasp_emulator = RobustGaSP.rgasp(
             design=self.design,
@@ -576,7 +610,7 @@ class PPGaSP(RobustGaSPBase):
             nugget=nugget,
             nugget_est=False,
             range_par=range_par,
-            method=self.method, 
+            method=self.method,
             prior_choice=self.prior_choice,
             a=self.a,
             b=self._b,
@@ -586,29 +620,36 @@ class PPGaSP(RobustGaSPBase):
             alpha=self.alpha,
             lower_bound=self.lower_bound,
             max_eval=self.max_eval,
-            num_initial_values=self.num_initial_values) 
-        
+            num_initial_values=self.num_initial_values,
+        )
+
         # predictions and samples of y1 at testing_input using rgasp_emulator
         r_predictions_y1 = RobustGaSP.predict_rgasp(
-            rgasp_emulator, self.testing_input, testing_trend=self.testing_trend) 
+            rgasp_emulator, self.testing_input, testing_trend=self.testing_trend
+        )
         predictions_y1 = np.transpose(np.array(r_predictions_y1))
-        predictions_mean_y1 =  np.reshape(predictions_y1[:,0], (ntest, 1))
-        
+        predictions_mean_y1 = np.reshape(predictions_y1[:, 0], (ntest, 1))
+
         r_samples_y1 = RobustGaSP.Sample(
-            rgasp_emulator, self.testing_input, num_sample=nsamples,
-            testing_trend=self.testing_trend)
+            rgasp_emulator,
+            self.testing_input,
+            num_sample=nsamples,
+            testing_trend=self.testing_trend,
+        )
         samples_y1 = np.array(r_samples_y1)
 
         # use predictions_mean and samples of y1 to calculate LW term
         LW_term = (samples_y1 - predictions_mean_y1) / np.sqrt(sigma2_hat[0])
-        
+
         # predictions of y1,...,yk using ppgasp_emulator
         predictions = self.predict(self.testing_input, self.testing_trend)
         predictions_mean = predictions[:, :, 0]
-        
+
         samples = np.zeros((ntest, nresponse, nsamples))
         for i in range(nresponse):
-            samples[:,i,:] = np.reshape(predictions_mean[:, i], (ntest, 1)) + \
-                             np.sqrt(sigma2_hat[i]) * LW_term
-            
-        return samples
\ No newline at end of file
+            samples[:, i, :] = (
+                np.reshape(predictions_mean[:, i], (ntest, 1))
+                + np.sqrt(sigma2_hat[i]) * LW_term
+            )
+
+        return samples
diff --git a/src/psimpy/simulator/ravaflow24.py b/src/psimpy/simulator/ravaflow24.py
index 4d9bbfc1c9895f462ca72d06ecdbf55f8c92ebfc..5ad6a3196040b39cd9864b2f2ca628c69cfc501c 100755
--- a/src/psimpy/simulator/ravaflow24.py
+++ b/src/psimpy/simulator/ravaflow24.py
@@ -4,18 +4,28 @@ import numpy as np
 from scipy.interpolate import interp2d
 from typing import Union
 from beartype import beartype
+import warnings
+
 
 class Ravaflow24Mixture:
-    
     @beartype
     def __init__(
-        self, dir_sim: str, time_step: Union[float, int] = 10,
-        time_end: Union[float, int] = 300, cfl: float = 0.4, 
-        time_step_length: float = 0.001, conversion_control: str = '0',
-        curvature_control: str = '1', surface_control: str = '0',
-        entrainment_control: str = '0', shear_velocity_coef: float = 0.05,
-        basal_friction_diff: float = 0.0, stopping_control: str = '0',
-        stopping_threshold: float = 0.0, friction_control: str = '0') -> None:
+        self,
+        dir_sim: str,
+        time_step: Union[float, int] = 10,
+        time_end: Union[float, int] = 300,
+        cfl: float = 0.4,
+        time_step_length: float = 0.001,
+        conversion_control: str = "0",
+        curvature_control: str = "1",
+        surface_control: str = "0",
+        entrainment_control: str = "0",
+        shear_velocity_coef: float = 0.05,
+        basal_friction_diff: float = 0.0,
+        stopping_control: str = "0",
+        stopping_threshold: float = 0.0,
+        friction_control: str = "0",
+    ) -> None:
         """
         `r.avaflow 2.4 Mixture model` (Voellmy-type shallow flow model).
 
@@ -73,8 +83,13 @@ class Ravaflow24Mixture:
             `'0'`: no dynamic adaptation of friction parameters.
             `'1'`: dynamic adaptation of friction parameters (ignored for the
             mixture model).
-        
+
         """
+        warnings.warn(
+            "The ravaflow24 module will be deprecated on 19.01.2024. Please use ravaflow3G module.",
+            FutureWarning,
+        )
+
         if not os.path.isdir(dir_sim):
             raise ValueError(f"{dir_sim} does not exist or is not a directory")
         self.dir_sim = dir_sim
@@ -83,47 +98,50 @@ class Ravaflow24Mixture:
         self.time_end = time_end
         self.cfl = cfl
         self.time_step_length = time_step_length
-        
-        if conversion_control not in ['0','1']:
+
+        if conversion_control not in ["0", "1"]:
             raise ValueError("convresion_control must be '0' or '1'")
         self.conversion_control = conversion_control
-        
-        if curvature_control not in ['0','1','2']:
+
+        if curvature_control not in ["0", "1", "2"]:
             raise ValueError("curvature_control must be '0' or '1' or '2'")
-        self.curvature_control = curvature_control 
-        
-        if surface_control not in ['0','1']:
+        self.curvature_control = curvature_control
+
+        if surface_control not in ["0", "1"]:
             raise ValueError("surface_control must be '0' or '1'")
         self.surface_control = surface_control
-        
-        if entrainment_control not in ['0','1','2','3','4']:
-            raise ValueError(
-                "entrainment_control must be '0', '1', '2', '3', or '4'")
+
+        if entrainment_control not in ["0", "1", "2", "3", "4"]:
+            raise ValueError("entrainment_control must be '0', '1', '2', '3', or '4'")
         self.entrainment_control = entrainment_control
-        
+
         self.shear_velocity_coef = shear_velocity_coef
         self.basal_friction_diff = basal_friction_diff
-        
-        if stopping_control not in ['0','1','2','3']:
+
+        if stopping_control not in ["0", "1", "2", "3"]:
             raise ValueError("stopping_control must be '0', '1', '2', or '3'")
         self.stopping_control = stopping_control
-                 
+
         self.stopping_threshold = stopping_threshold
 
-        if friction_control not in ['0','1']:
+        if friction_control not in ["0", "1"]:
             raise ValueError("friction_control must be '0' or '1'")
         self.friction_control = friction_control
-    
+
     @beartype
     def preprocess(
-        self, prefix: str, elevation: str, hrelease: str,
+        self,
+        prefix: str,
+        elevation: str,
+        hrelease: str,
         cellsize: Union[float, int, np.floating, np.integer] = 20,
-        hrelease_ratio: Union[float, np.integer] = 1.0, 
+        hrelease_ratio: Union[float, np.integer] = 1.0,
         internal_friction: Union[float, int, np.floating, np.integer] = 35,
         basal_friction: Union[float, int, np.floating, np.integer] = 20,
         turbulent_friction: Union[float, int, np.floating, np.integer] = 3,
         entrainment_coef: Union[float, np.floating] = -7.0,
-        EPSG: Union[str, None] = None) -> tuple[str, str]:
+        EPSG: Union[str, None] = None,
+    ) -> tuple[str, str]:
         """
         Preprocess simulation input data simulation.
 
@@ -158,32 +176,41 @@ class Ravaflow24Mixture:
             `EPSG` (European Petroleum Survey Group) code to create
             `GRASS Location <https://grass.osgeo.org/grass82/manuals/grass_database.html>`_.
             If `None`, ``elevation`` must be a georeferenced file which has
-            metadata to create the `GRASS Location`. 
-        
+            metadata to create the `GRASS Location`.
+
         Returns
         -------
         grass_location : str
             Name of the `GRASS Location` (including path).
         sh_file : str
             Name of the shell file (including path), which will be called by
-            `GRASS <https://grass.osgeo.org/>`_ to run the simulation. 
-        """        
-        sh_file = os.path.join(self.dir_sim, f'{prefix}_shell.sh')
-        grass_location = os.path.join(self.dir_sim, f'{prefix}_glocation')
-        results_dir = os.path.join(self.dir_sim, f'{prefix}_results')
-
-        if os.path.exists(sh_file) or os.path.exists(grass_location) or \
-            os.path.exists(results_dir):
+            `GRASS <https://grass.osgeo.org/>`_ to run the simulation.
+        """
+        warnings.warn(
+            "The ravaflow24 module will be deprecated on 19.01.2024. Please use ravaflow3G module.",
+            FutureWarning,
+        )
+
+        sh_file = os.path.join(self.dir_sim, f"{prefix}_shell.sh")
+        grass_location = os.path.join(self.dir_sim, f"{prefix}_glocation")
+        results_dir = os.path.join(self.dir_sim, f"{prefix}_results")
+
+        if (
+            os.path.exists(sh_file)
+            or os.path.exists(grass_location)
+            or os.path.exists(results_dir)
+        ):
             raise ValueError(
                 f"File(s) with prefix={prefix} already exists in {self.dir_sim}."
-                f" Move or delete conflicting files, or use another prefix.")
-        
+                f" Move or delete conflicting files, or use another prefix."
+            )
+
         if not os.path.exists(elevation):
             raise ValueError(f"{elevation} does not exist")
-        
+
         if not os.path.exists(hrelease):
             raise ValueError(f"{hrelease} does not exist")
-        
+
         # create grass location
         if EPSG is None:
             os.system(f"grass -e -c {elevation} {grass_location}")
@@ -191,24 +218,21 @@ class Ravaflow24Mixture:
             os.system(f"grass -e -c EPSG:{EPSG} {grass_location}")
 
         # create shell file
-        with open(sh_file, 'w') as sh:
-
+        with open(sh_file, "w") as sh:
             sh.write("# import elevation raster \n")
             sh.write(f"r.in.gdal -o input={elevation} output=elev --overwrite")
             sh.write("\n\n")
 
             sh.write("# set region based on elev \n")
             sh.write("g.region raster=elev \n\n")
-            
-            sh.write('# import hrelease raster \n')
-            sh.write(
-                f"r.in.gdal -o input={hrelease} output=raw_hrel --overwrite")
+
+            sh.write("# import hrelease raster \n")
+            sh.write(f"r.in.gdal -o input={hrelease} output=raw_hrel --overwrite")
             sh.write("\n\n")
 
-            sh.write(
-                f"r.mapcalc \"hrel = raw_hrel*{hrelease_ratio}\" --overwrite")
+            sh.write(f'r.mapcalc "hrel = raw_hrel*{hrelease_ratio}" --overwrite')
             sh.write("\n\n")
-            
+
             sh.write(
                 f"r.avaflow -e -a prefix={prefix} cellsize={cellsize} phases=x "
                 f"elevation=elev hrelease=hrel "
@@ -220,8 +244,9 @@ class Ravaflow24Mixture:
                 f"{self.surface_control},{self.entrainment_control},"
                 f"{self.stopping_control},{self.friction_control} "
                 f"time={self.time_step},{self.time_end} "
-                f"cfl={self.cfl},{self.time_step_length}")
-        
+                f"cfl={self.cfl},{self.time_step_length}"
+            )
+
         return grass_location, sh_file
 
     @beartype
@@ -236,22 +261,26 @@ class Ravaflow24Mixture:
         sh_file : str
             Name of the shell file (including path).
         """
+        warnings.warn(
+            "The ravaflow24 module will be deprecated on 19.01.2024. Please use ravaflow3G module.",
+            FutureWarning,
+        )
         if not os.path.exists(grass_location):
             raise ValueError(f"{grass_location} does not exist")
         if not os.path.exists(os.path.join(grass_location, "PERMANENT")):
             raise ValueError(f"{grass_location} is not a grass location")
-        
+
         if not os.path.exists(sh_file):
             raise ValueError(f"{sh_file} does not exist")
-        
+
         grass_mapset = os.path.join(grass_location, "PERMANENT", "")
 
         os.chdir(self.dir_sim)
         os.system(f"grass {grass_mapset} --exec sh {sh_file}")
 
-
-    def extract_impact_area(self, prefix: str, qoi: str = 'h',
-        threshold: Union[float, int] = 0.5) -> float:
+    def extract_impact_area(
+        self, prefix: str, qoi: str = "h", threshold: Union[float, int] = 0.5
+    ) -> float:
         """
         Extract impact area defined by a given quantity of interest and its
         threshold.
@@ -275,26 +304,37 @@ class Ravaflow24Mixture:
         impact_area : float
             A scalar value representing the overall impact area.
         """
-        if qoi not in ['h','v','p','t']:
+        warnings.warn(
+            "The ravaflow24 module will be deprecated on 19.01.2024. Please use ravaflow3G module.",
+            FutureWarning,
+        )
+
+        if qoi not in ["h", "v", "p", "t"]:
             raise ValueError("qoi must be 'h', 'v', 'p', or 't'")
 
-        qoi_max_raster_asc = os.path.join(self.dir_sim, f'{prefix}_results',
-            f'{prefix}_ascii', f'{prefix}_{qoi}flow_max.asc')
+        qoi_max_raster_asc = os.path.join(
+            self.dir_sim,
+            f"{prefix}_results",
+            f"{prefix}_ascii",
+            f"{prefix}_{qoi}flow_max.asc",
+        )
         qoi_max_raster = np.loadtxt(qoi_max_raster_asc, skiprows=6)
 
         cellsize = linecache.getline(qoi_max_raster_asc, 5)
         cellsize = float(cellsize.split()[-1].strip())
 
-        impact_area = np.sum(np.where(qoi_max_raster>threshold,1,0)) * \
-            (cellsize)**2
-            
+        impact_area = (
+            np.sum(np.where(qoi_max_raster > threshold, 1, 0)) * (cellsize) ** 2
+        )
+
         return float(impact_area)
 
-    def extract_qoi_max(self, prefix: str, qoi: str,
-        aggregate: bool = True) -> Union[float, np.ndarray]:
+    def extract_qoi_max(
+        self, prefix: str, qoi: str, aggregate: bool = True
+    ) -> Union[float, np.ndarray]:
         """
         Extract the maximum value(s) of a quantity of interest.
-        
+
         Parameters
         ----------
         prefix : str
@@ -315,11 +355,20 @@ class Ravaflow24Mixture:
         qoi_max : float or numpy array
             Maximum value(s) of ``qoi`` in one simulation.
         """
-        if qoi not in ['h','v','p','t']:
+        warnings.warn(
+            "The ravaflow24 module will be deprecated on 19.01.2024. Please use ravaflow3G module.",
+            FutureWarning,
+        )
+
+        if qoi not in ["h", "v", "p", "t"]:
             raise ValueError("qoi must be 'h', 'v', 'p', or 't'")
-        
-        qoi_max_raster_asc = os.path.join(self.dir_sim, f'{prefix}_results',
-            f'{prefix}_ascii', f'{prefix}_{qoi}flow_max.asc')
+
+        qoi_max_raster_asc = os.path.join(
+            self.dir_sim,
+            f"{prefix}_results",
+            f"{prefix}_ascii",
+            f"{prefix}_{qoi}flow_max.asc",
+        )
         qoi_max_raster = np.loadtxt(qoi_max_raster_asc, skiprows=6)
 
         if aggregate:
@@ -327,13 +376,11 @@ class Ravaflow24Mixture:
         else:
             return np.rot90(np.transpose(qoi_max_raster))
 
-
-    def extract_qoi_max_loc(self, prefix: str, loc: np.ndarray,
-        qoi: str) -> np.ndarray:
+    def extract_qoi_max_loc(self, prefix: str, loc: np.ndarray, qoi: str) -> np.ndarray:
         """
         Extract maximum value(s) of a quantity of interest at specific
         location(s).
-        
+
         Parameters
         ----------
         prefix : str
@@ -355,38 +402,55 @@ class Ravaflow24Mixture:
         qoi_max_loc : numpy array
             Consist of maximum value(s) of ``qoi`` at each location.
             Shape of :code:`(nloc,)`.
-        """       
+        """
+        warnings.warn(
+            "The ravaflow24 module will be deprecated on 19.01.2024. Please use ravaflow3G module.",
+            FutureWarning,
+        )
+
         if not (loc.ndim == 2 and loc.shape[1] == 2):
             raise ValueError(
                 "loc must be a 2d numpy array with first axis corresponding to"
-                " the number of locations and second axis to x and y coords")
+                " the number of locations and second axis to x and y coords"
+            )
 
-        if qoi not in ['h','v','p','t']:
+        if qoi not in ["h", "v", "p", "t"]:
             raise ValueError("qoi must be 'h', 'v', 'p', or 't'")
-        
-        qoi_max_raster_asc = os.path.join(self.dir_sim, f'{prefix}_results',
-            f'{prefix}_ascii', f'{prefix}_{qoi}flow_max.asc')
-        
-        header = [linecache.getline(qoi_max_raster_asc, i) for i in range(1,6)]
+
+        qoi_max_raster_asc = os.path.join(
+            self.dir_sim,
+            f"{prefix}_results",
+            f"{prefix}_ascii",
+            f"{prefix}_{qoi}flow_max.asc",
+        )
+
+        header = [linecache.getline(qoi_max_raster_asc, i) for i in range(1, 6)]
         header_values = [float(h.split()[-1].strip()) for h in header]
         ncols, nrows, xll, yll, cellsize = header_values
         ncols = int(ncols)
         nrows = int(nrows)
 
-        x = np.arange(xll, xll+(cellsize*ncols), cellsize)
-        y = np.arange(yll, yll+(cellsize*nrows), cellsize)
-
-        if not all([loc[i,0]>=x[0] and loc[i,0]<=x[-1] and loc[i,1]>=y[0] and \
-            loc[i,1]<=y[-1] for i in range(len(loc))]):
+        x = np.arange(xll, xll + (cellsize * ncols), cellsize)
+        y = np.arange(yll, yll + (cellsize * nrows), cellsize)
+
+        if not all(
+            [
+                loc[i, 0] >= x[0]
+                and loc[i, 0] <= x[-1]
+                and loc[i, 1] >= y[0]
+                and loc[i, 1] <= y[-1]
+                for i in range(len(loc))
+            ]
+        ):
             raise ValueError(
-                "Coordinates in loc must be within the boundary of topography")
+                "Coordinates in loc must be within the boundary of topography"
+            )
 
         qoi_max_raster = np.loadtxt(qoi_max_raster_asc, skiprows=6)
         qoi_max_raster = np.rot90(np.transpose(qoi_max_raster))
 
         f_qoi_max = interp2d(x, y, qoi_max_raster)
 
-        qoi_max_loc = [float(f_qoi_max(loc[i,0], loc[i,1])) \
-            for i in range(len(loc))]
+        qoi_max_loc = [float(f_qoi_max(loc[i, 0], loc[i, 1])) for i in range(len(loc))]
 
-        return np.array(qoi_max_loc)
\ No newline at end of file
+        return np.array(qoi_max_loc)
diff --git a/src/psimpy/simulator/ravaflow3G.py b/src/psimpy/simulator/ravaflow3G.py
new file mode 100644
index 0000000000000000000000000000000000000000..74b75820aaddc95ec445fc049351ce94d62dcdf0
--- /dev/null
+++ b/src/psimpy/simulator/ravaflow3G.py
@@ -0,0 +1,458 @@
+import os
+import linecache
+import numpy as np
+from scipy.interpolate import interp2d
+from typing import Union
+from beartype import beartype
+
+
+class Ravaflow3GMixture:
+    @beartype
+    def __init__(
+        self,
+        dir_sim: str,
+        time_step: Union[float, int] = 10,
+        time_end: Union[float, int] = 300,
+        cfl: float = 0.4,
+        time_step_length: float = 0.001,
+        diffusion_control: str = "0",
+        curvature_control: str = "1",
+        surface_control: str = "0",
+        entrainment_control: str = "0",
+        shear_velocity_coef: float = 0.05,
+        basal_friction_diff: float = 0.0,
+        stopping_control: str = "0",
+        stopping_threshold: float = 0.0,
+        friction_control: str = "0",
+        non_hydro_control: str = "0",
+        hydrograph_control: str = "2",
+        deceleration_control: str = "0",
+    ) -> None:
+        """
+        `r.avaflow 3G Mixture model` (Voellmy-type shallow flow model).
+
+        Parameters
+        ----------
+        dir_sim : str
+            Directory to save output files generated by `r.avaflow`.
+        time_step : float or int
+            Time step for simulation, in seconds.
+        time_end : float or int
+            End time for simulation, in seconds.
+        cfl : float
+            CFL criterion, a value being equal or smaller than 0.5.
+        time_step_length : float
+            If ``cfl`` is not applicable, ``time_step_length`` is used.
+            In seconds. Recommended range is around :math:`0.1` to :math:`0.5`.
+        diffusion_control : str
+            `'0'`: no diffusion control (default)
+            `'1'`: experimental diffusion control is applied
+        curvature_control : str
+            `'0'`: curvature is neglected (default).
+            `'1'`: curvature is considered in the decelerating source terms (default).
+            `'2'`: curvature is considered in all relevant terms.
+        surface_control : str
+            `'0'`: no balancing of forces (default).
+            `'1'`: apply balancing of forces.
+        entrainment_control : str
+            `'0'`: no entrainment (default).
+            `'1'`: the entrainment coefficient is multiplied with flow momentum.
+            `'2'`: simplified entrainment and deposition model is used.
+            `'3'`: combination of `'1'` for entrainmnet and `'2'` for deposition.
+            `'4'`: acceleration-deceleration entrainment and deposition model.
+        shear_velocity_coef : float
+            Only used with ``entrainment_control`` being `'2'` or `'3'`, range
+            :math:`[0,1]`.
+        basal_friction_diff : float
+            Difference between the basal friction angles of the basal surface
+            and the flow, in degrees. Only used with ``entrainment_control``
+            being `'2'` or `'3'`.
+        stopping_control : str
+            `'0'`: no stopping control is used (default).
+            `'1'`: stop if the flow kinetic energy is equal or smaller than a
+            given threshold.
+            `'2'`: stop if the flow momentum is equal or smaller than a given
+            threshold.
+            `'3'`: stop if the dynamic flow pressure of all raster cells is
+            euqal or smaller than a given threshold.
+        stopping_threshold : float
+            Threshold value for ``stopping_control``.
+            If ``stopping_control`` is `'1'` or `'2'`, ``stopping_threshold``
+            has to be given as the maximum value reached during the flow.
+            If ``stopping_control`` is `'3'`, the pressure threshold has to be
+            specified.
+        friction_control : str, optional
+            `'0'`: no dynamic adaptation of friction parameters (default).
+            `'1'`: dynamic adaptation of friction parameters (ignored for the
+            mixture model).
+        non_hydro_control: str
+            `'0'`: Non-hydrostatic effects are excluded (default).
+            `'1'`: Only dispersion is considered.
+            `'2'`: Only enhanced gravity is considered.
+            `'3'`: Both dispersion and enhanced gravity are considered.
+        hydrograph_control: str
+            `'0'`: Impose hydrograph on the flow.
+            `'1'`: Reset flow at the hydrograph profile before imposing the hydrograph.
+            `'2'`: Impose the entire material added through the hydrograph on the centre of the hydrograph profile (default).
+        deceleration_control: str
+            `'0'`: Suppress change of direction induced by frictional or viscous forces (default).
+            `'1'`: Do not suppress the change of direction.
+        """
+
+        if not os.path.isdir(dir_sim):
+            raise ValueError(f"{dir_sim} does not exist or is not a directory")
+        self.dir_sim = dir_sim
+
+        self.time_step = time_step
+        self.time_end = time_end
+        self.cfl = cfl
+        self.time_step_length = time_step_length
+
+        if diffusion_control not in ["0", "1"]:
+            raise ValueError("diffusion_control must be '0' or '1'")
+        self.diffusion_control = diffusion_control
+
+        if curvature_control not in ["0", "1", "2"]:
+            raise ValueError("curvature_control must be '0' or '1' or '2'")
+        self.curvature_control = curvature_control
+
+        if surface_control not in ["0", "1"]:
+            raise ValueError("surface_control must be '0' or '1'")
+        self.surface_control = surface_control
+
+        if entrainment_control not in ["0", "1", "2", "3", "4"]:
+            raise ValueError("entrainment_control must be '0', '1', '2', '3', or '4'")
+        self.entrainment_control = entrainment_control
+
+        self.shear_velocity_coef = shear_velocity_coef
+        self.basal_friction_diff = basal_friction_diff
+
+        if stopping_control not in ["0", "1", "2", "3"]:
+            raise ValueError("stopping_control must be '0', '1', '2', or '3'")
+        self.stopping_control = stopping_control
+
+        self.stopping_threshold = stopping_threshold
+
+        if friction_control not in ["0", "1"]:
+            raise ValueError("friction_control must be '0' or '1'")
+        self.friction_control = friction_control
+
+        if non_hydro_control not in ["0", "1", "2", "3"]:
+            raise ValueError("non_hydro_control must be '0', '1', '2', or '3'")
+        self.non_hydro_control = non_hydro_control
+
+        if hydrograph_control not in ["0", "1", "2"]:
+            raise ValueError("hydrograph_control must be '0', '1', or '2'")
+        self.hydrograph_control = hydrograph_control
+
+        if deceleration_control not in ["0", "1"]:
+            raise ValueError("deceleration_control must be '0' or '1'")
+        self.deceleration_control = deceleration_control
+
+    @beartype
+    def preprocess(
+        self,
+        prefix: str,
+        elevation: str,
+        hrelease: str,
+        cellsize: Union[float, int, np.floating, np.integer] = 20,
+        hrelease_ratio: Union[float, np.integer] = 1.0,
+        internal_friction: Union[float, int, np.floating, np.integer] = 35,
+        basal_friction: Union[float, int, np.floating, np.integer] = 20,
+        turbulent_friction: Union[float, int, np.floating, np.integer] = 3,
+        entrainment_coef: Union[float, np.floating] = -7.0,
+        EPSG: Union[str, None] = None,
+    ) -> tuple[str, str]:
+        """
+        Preprocess simulation input data simulation.
+
+        Parameters
+        ----------
+        prefix : str
+            Prefix required by `r.avaflow` to name output files.
+        elevation : str
+            Name of elevation raster file (including its path).
+            The file format should be supported by `GDAL`.
+            Its unit is in meters.
+        hrelease : str
+            Name of release height raster file (including its path).
+            The file format should be supported by `GDAL`.
+            Its unit is in meters.
+        cellsize : float or int, optional
+            Cell size in meters to be used for simulation.
+        hrelease_ratio : float, optional
+            A positive value to multiple ``hrelease`` in order to control
+            the release volume.
+        internal_friction : float or int, optional
+            Internal friction angle, in degrees, range :math:`[0,90)`.
+        basal_friction : float or int, optional
+            Basal friction angle, in degrees, range :math:`[0,90)`.
+        turbulent_friction : float or int, optional
+            Logarithm with base :math:`10` of the turbulent friction, in
+            :math:`m/s^2`.
+        entrainment_coef : float, optional
+            Logarithm with base :math:`10` of the entrainment coefficient,
+            except for :math:`0` meaning no entrainment.
+        EPSG : str, optional
+            `EPSG` (European Petroleum Survey Group) code to create
+            `GRASS Location <https://grass.osgeo.org/grass82/manuals/grass_database.html>`_.
+            If `None`, ``elevation`` must be a georeferenced file which has
+            metadata to create the `GRASS Location`.
+
+        Returns
+        -------
+        grass_location : str
+            Name of the `GRASS Location` (including path).
+        sh_file : str
+            Name of the shell file (including path), which will be called by
+            `GRASS <https://grass.osgeo.org/>`_ to run the simulation.
+        """
+
+        sh_file = os.path.join(self.dir_sim, f"{prefix}_shell.sh")
+        grass_location = os.path.join(self.dir_sim, f"{prefix}_glocation")
+        results_dir = os.path.join(self.dir_sim, f"{prefix}_results")
+
+        if (
+            os.path.exists(sh_file)
+            or os.path.exists(grass_location)
+            or os.path.exists(results_dir)
+        ):
+            raise ValueError(
+                f"File(s) with prefix={prefix} already exists in {self.dir_sim}."
+                f" Move or delete conflicting files, or use another prefix."
+            )
+
+        if not os.path.exists(elevation):
+            raise ValueError(f"{elevation} does not exist")
+
+        if not os.path.exists(hrelease):
+            raise ValueError(f"{hrelease} does not exist")
+
+        # create grass location
+        if EPSG is None:
+            os.system(f"grass -e -c {elevation} {grass_location}")
+        else:
+            os.system(f"grass -e -c EPSG:{EPSG} {grass_location}")
+
+        # create shell file
+        with open(sh_file, "w") as sh:
+            sh.write("# import elevation raster \n")
+            sh.write(f"r.in.gdal -o input={elevation} output=elev --overwrite")
+            sh.write("\n\n")
+
+            sh.write("# set region based on elev \n")
+            sh.write("g.region raster=elev \n\n")
+
+            sh.write("# import hrelease raster \n")
+            sh.write(f"r.in.gdal -o input={hrelease} output=raw_hrel --overwrite")
+            sh.write("\n\n")
+
+            sh.write(f'r.mapcalc "hrel = raw_hrel*{hrelease_ratio}" --overwrite')
+            sh.write("\n\n")
+
+            sh.write(
+                f"r.avaflow -e -a prefix={prefix} cellsize={cellsize} phases=x "
+                f"elevation=elev hrelease=hrel "
+                f"friction={internal_friction},{basal_friction},"
+                f"{turbulent_friction} "
+                f"basal={entrainment_coef},{self.shear_velocity_coef},"
+                f"{self.basal_friction_diff},{self.stopping_threshold} "
+                f"controls=0,{self.diffusion_control},{self.curvature_control},"
+                f"{self.surface_control},{self.entrainment_control},"
+                f"{self.stopping_control},{self.friction_control},{self.non_hydro_control},"
+                f"{self.hydrograph_control},{self.deceleration_control} "
+                f"time={self.time_step},{self.time_end} "
+                f"cfl={self.cfl},{self.time_step_length}"
+            )
+
+        return grass_location, sh_file
+
+    @beartype
+    def run(self, grass_location: str, sh_file: str) -> None:
+        """
+        Run simulation.
+
+        Parameters
+        ----------
+        grass_location : str
+            Name of the `GRASS Location` (including path).
+        sh_file : str
+            Name of the shell file (including path).
+        """
+        if not os.path.exists(grass_location):
+            raise ValueError(f"{grass_location} does not exist")
+        if not os.path.exists(os.path.join(grass_location, "PERMANENT")):
+            raise ValueError(f"{grass_location} is not a grass location")
+
+        if not os.path.exists(sh_file):
+            raise ValueError(f"{sh_file} does not exist")
+
+        grass_mapset = os.path.join(grass_location, "PERMANENT", "")
+
+        os.chdir(self.dir_sim)
+        os.system(f"grass {grass_mapset} --exec sh {sh_file}")
+
+    def extract_impact_area(
+        self, prefix: str, qoi: str = "h", threshold: Union[float, int] = 0.5
+    ) -> float:
+        """
+        Extract impact area defined by a given quantity of interest and its
+        threshold.
+
+        Parameters
+        ----------
+        prefix : str
+            Prefix used by `r.avaflow` to name output files.
+        qoi : str
+            Quantity of interest to determine the impact area.
+            `'h'`: maximum flow height, in meters.
+            `'v'`: maximum flow velocity, in :math:`m/s`.
+            `'p'`: maximum flow pressure, in :math:`Pa`.
+            `'t'`: maximum flow kinetic energy, in :math:`J`.
+        threshold : float or int
+            Threshold of ``qoi`` to determine impact area. Areas where ``qoi``
+            is larger than ``threshold`` are regarded as impar area.
+
+        Returns
+        -------
+        impact_area : float
+            A scalar value representing the overall impact area.
+        """
+
+        if qoi not in ["h", "v", "p", "t"]:
+            raise ValueError("qoi must be 'h', 'v', 'p', or 't'")
+
+        qoi_max_raster_asc = os.path.join(
+            self.dir_sim,
+            f"{prefix}_results",
+            f"{prefix}_ascii",
+            f"{prefix}_{qoi}flow_max.asc",
+        )
+        qoi_max_raster = np.loadtxt(qoi_max_raster_asc, skiprows=6)
+
+        cellsize = linecache.getline(qoi_max_raster_asc, 5)
+        cellsize = float(cellsize.split()[-1].strip())
+
+        impact_area = (
+            np.sum(np.where(qoi_max_raster > threshold, 1, 0)) * (cellsize) ** 2
+        )
+
+        return float(impact_area)
+
+    def extract_qoi_max(
+        self, prefix: str, qoi: str, aggregate: bool = True
+    ) -> Union[float, np.ndarray]:
+        """
+        Extract the maximum value(s) of a quantity of interest.
+
+        Parameters
+        ----------
+        prefix : str
+            Prefix used by `r.avaflow` to name output files.
+        qoi : str
+            Quantity of interest.
+            `'h'`: maximum flow height, in meters.
+            `'v'`: maximum flow velocity, in :math:`m/s`.
+            `'p'`: maximum flow pressure, in :math:`Pa`.
+            `'t'`: maximum flow kinetic energy, in :math:`J`.
+        aggregate : bool
+            If `True`, returns the overall maximum value over all spatio-tempo
+            grids. If `False`, returns the maximum values over all time steps at
+            each spatio location, namely a raster of maximum values.
+
+        Returns
+        -------
+        qoi_max : float or numpy array
+            Maximum value(s) of ``qoi`` in one simulation.
+        """
+
+        if qoi not in ["h", "v", "p", "t"]:
+            raise ValueError("qoi must be 'h', 'v', 'p', or 't'")
+
+        qoi_max_raster_asc = os.path.join(
+            self.dir_sim,
+            f"{prefix}_results",
+            f"{prefix}_ascii",
+            f"{prefix}_{qoi}flow_max.asc",
+        )
+        qoi_max_raster = np.loadtxt(qoi_max_raster_asc, skiprows=6)
+
+        if aggregate:
+            return float(np.max(qoi_max_raster))
+        else:
+            return np.rot90(np.transpose(qoi_max_raster))
+
+    def extract_qoi_max_loc(self, prefix: str, loc: np.ndarray, qoi: str) -> np.ndarray:
+        """
+        Extract maximum value(s) of a quantity of interest at specific
+        location(s).
+
+        Parameters
+        ----------
+        prefix : str
+            Prefix used by `r.avaflow` to name output files.
+        loc : numpy array
+            Coordinates of interested locations. Shape :code:`(nloc, 2)`, where
+            ``nloc`` is the number of interested locations.
+            :code:`loc[:,0]` corresponds to `x` coordinates and
+            :code:`loc[:,1]` to `y` coordinates.
+        qoi : str
+            Quantity of interest.
+            `'h'`: maximum flow height, in meters.
+            `'v'`: maximum flow velocity, in :math:`m/s`.
+            `'p'`: maximum flow pressure, in :math:`Pa`.
+            `'t'`: maximum flow kinetic energy, in :math:`J`.
+
+        Returns
+        -------
+        qoi_max_loc : numpy array
+            Consist of maximum value(s) of ``qoi`` at each location.
+            Shape of :code:`(nloc,)`.
+        """
+
+        if not (loc.ndim == 2 and loc.shape[1] == 2):
+            raise ValueError(
+                "loc must be a 2d numpy array with first axis corresponding to"
+                " the number of locations and second axis to x and y coords"
+            )
+
+        if qoi not in ["h", "v", "p", "t"]:
+            raise ValueError("qoi must be 'h', 'v', 'p', or 't'")
+
+        qoi_max_raster_asc = os.path.join(
+            self.dir_sim,
+            f"{prefix}_results",
+            f"{prefix}_ascii",
+            f"{prefix}_{qoi}flow_max.asc",
+        )
+
+        header = [linecache.getline(qoi_max_raster_asc, i) for i in range(1, 6)]
+        header_values = [float(h.split()[-1].strip()) for h in header]
+        ncols, nrows, xll, yll, cellsize = header_values
+        ncols = int(ncols)
+        nrows = int(nrows)
+
+        x = np.arange(xll, xll + (cellsize * ncols), cellsize)
+        y = np.arange(yll, yll + (cellsize * nrows), cellsize)
+
+        if not all(
+            [
+                loc[i, 0] >= x[0]
+                and loc[i, 0] <= x[-1]
+                and loc[i, 1] >= y[0]
+                and loc[i, 1] <= y[-1]
+                for i in range(len(loc))
+            ]
+        ):
+            raise ValueError(
+                "Coordinates in loc must be within the boundary of topography"
+            )
+
+        qoi_max_raster = np.loadtxt(qoi_max_raster_asc, skiprows=6)
+        qoi_max_raster = np.rot90(np.transpose(qoi_max_raster))
+
+        f_qoi_max = interp2d(x, y, qoi_max_raster)
+
+        qoi_max_loc = [float(f_qoi_max(loc[i, 0], loc[i, 1])) for i in range(len(loc))]
+
+        return np.array(qoi_max_loc)