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FEATool Multiphysics™ - MATLAB PDE and Physics Simulation Made Easy ===================================================================  About ----- Welcome to FEATool™ (short for Finite Element Analysis Toolbox), a MATLAB toolbox for modeling and simulation of physics, [partial differential equations (PDE)](https://en.wikipedia.org/wiki/Partial_differential_equation), and mathematical problems with the [finite element method (FEM)](https://en.wikipedia.org/wiki/Finite_element_method). FEATool aims to provide an easy to use and comprehensive all-in-one integrated simulation package for all types of finite element and multiphysics analyses, and combine the best of ease of use, powerful functionality, and extensibility for both beginners and advanced users. Features such as an intuitive and easy to learn graphical user interface (GUI), a complete library of grid generation, FEM, and postprocessing functions, as well as command line interface (CLI) programming, and interactive and interpreted programming and scripting capabilities, makes FEATool suitable for everyone from students learning mathematical modeling, to professionals and engineers wishing to explore new ideas in a simple, fast, and convenient way. System Requirements ------------------- The FEATool Multiphysics simulation toolbox is written in the m-script language, which requires or [MATLAB](https://www.mathworks.com) to run. FEATool has been verified work with Windows, Mac, and Linux systems running MATLAB versions 7.9 R2009b and later. Furthermore, a system with 4GB or more RAM memory is recommended. Installation ------------ In order to use the FEATool toolbox the included files and directories must be installed on the intended computer system, and also added to the MATLAB search paths so that they can be found by the MATLAB interpreter. It is recommended to first uninstall old versions of FEATool before updating to a newer version. To install, download and extract the FEATool Multiphysics archive. - For MATLAB 2012b and later double click on the **FEATool Multiphysics.mlappinstall** file, or use the _Get More Apps_ button in the MATLAB _APPS_ toolbar. Once the app has been installed, a corresponding icon will be available in the toolbar to start FEATool. (Note that MATLAB may not give any indication of the app installation progress or completion.) - For MATLAB 2009b-2012a, copy the **[featool.p](https://github.com/precise-simulation/featool-multiphysics/blob/master/featool.p?raw=true)** file to a directory accessible to MATLAB (optionally, copy the other included files such as the binary files, and source and function files to support Command Line CLI usage). Then enter featool on the MATLAB command line to start the application. Please note that FEATool may take a few seconds to load and show the GUI on initial startup. Optional External Solvers and Grid Generators --------------------------------------------- ### FEniCS PDE Solver [FEniCS](https://fenicsproject.org) is a flexible and comprehensive finite element analysis (FEA) and partial differential equation (PDE) modeling and simulation toolkit with [Python](https://www.python.org/) and C++ interfaces along with many integrated solvers. As both FEATool and FEniCS discretize equations employing a weak finite element formulation it is quite straightforward to translate FEATool syntax and convert it to FEniCS _Python_ scripts. The FEATool-FEniCS integration allows for easy conversion, exporting, solving, and importing FEATool Multiphysics models to FEniCS directly from the GUI, as well as the MATLAB CLI. For Ubuntu based Linux and _Windows 10_ with [Windows Subsystem for Linux](https://msdn.microsoft.com/en-us/commandline/wsl/about) systems, FEniCS can be installed by opening a terminal shell and running the following commands (which automatically also installs required dependencies such as the _Python_ programming language interpreter) sudo apt-get install software-properties-common sudo add-apt-repository ppa:fenics-packages/fenics sudo apt-get update sudo apt-get install --no-install-recommends fenics Note that the FEATool distribution does not include a _Python_ interpreter or FEniCS itself which also must be installed separately. The FEniCS homepage provides instructions [how to install FEniCS on Linux systems](https://fenicsproject.org/download/) (note that Docker images are currently not supported by FEATool). ### OpenFOAM® CFD Solver The optional OpenFOAM CFD solver integration makes it easy to perform both laminar and turbulent high performance CFD simulations directly in MATLAB. OpenFOAM CFD simulations often results in a magnitude or more speedup for instationary simulations compared to the built-in flow solvers. Additionally, with the multi-simulation solver integration in FEATool it is possible to compare and better validate simulation results obtained using both the built-in, FEniCS, and OpenFOAM solvers. The OpenFOAM solver binaries are currently not included with FEATool and must be installed separately. The OpenFOAM MATLAB solver integration has been verified with OpenFOAM version 5. For Windows systems it is recommended to install and use the pre-compiled blueCFD-core (2017) binaries from [blueCAPE](http://bluecfd.github.io/Core). For Linux and MacOS systems the distribution from the [OpenFOAM Foundation](https://openfoam.org/download) is recommended. It is necessary that the _simpleFoam_, _pimpleFoam_, _rhoCentralFoam_, _potentialFoam_, and _collapseEdges_ binaries are installed and properly set up so they can be called from system script files (bash scripts on Linux and MacOS and bat/vbs on Windows). ### External Grid Generation FEATool Multiphysics comes with built-in support for the external mesh generators [_Gmsh_](http://gmsh.info/), _Gridgen2D_, and _Triangle_, upon selecting any of these grid generators in the _Grid Settings_ dialog box, the corresponding binaries will automatically be downloaded and installed if an internet connection is available. Alternatively, the mesh generator binaries can manually be downloaded and added to a FEATool program directory. Advantages of using either _Gmsh_, _Gridgen2D_, or _Triangle_ compared to the built-in grid generation functions is both robustness and mesh generation speed. Moreover, external grid generators also supports better and more control with a selection of different mesh generation algorithms, and specifying the grid size in different geometry regions, subdomains, as well as on boundaries, allowing for greater flexibility and better grids tuned for the specific problems and geometries. Basic Use --------- FEATool and its GUI has been specifically designed to be as easy to use as possible, and making learning multiphysics simulation by experimentation possible. The modeling process is divided into six different steps or modes - **Geometry** - Definition of the geometry to be modeled - **Grid** - Subdivision of the geometry into smaller cells suitable for computation - **Equation** - Specification of material parameters and coefficients - **Boundary** - Boundary conditions specify how the model interacts with the surrounding environment (outside the geometry) - **Solve** - Solution and simulation of the defined model problem - **Post** - Visualization and postprocessing These modes can be accessed by clicking on the corresponding buttons in left hand side _Mode_ toolbar. The different modes may have specialized and different _Tools_ available in the corresponding toolbar. Advanced mode options may also be available in the corresponding menus. A number of p