ITHACA-FV

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Synopsis

ITHACA-FV is an implementation in OpenFOAM of several reduced order modelling techniques. ITHACA-FV is designed for OpenFOAM 6.0 and OpenFOAM 5.0 but it can be easily adapted also to other versions of OpenFOAM.

ITHACA-FV can also be used as a basis for more advanced projects that would like to assess the capability of reduced order models in their existing OpenFOAM-based software, thanks to the availability of several reduced order methods and algorithms.

Linear and non-linear algebra operations which are not already implemented in OpenFOAM are performed with the external library Eigen. The source code of Eigen 3.3.4 is provided together with ITHACA-FV and is located in the src/thirdyparty/Eigen. For the EigenValue decomposition it is also possible to rely on the Spectra-0.6.1 library and the source code is provided in the src/thirdyparty/spectra-0.6.1 folder.

ITHACA-FV has been tested on Ubuntu 16.04, Centos 6.6, Centos 7 and ArchLinux, but can be easily compiled on any linux distribution with a compiled version of OpenFOAM 6.0 or OpenFOAM 5.0.

Requirements

ITHACA-FV requires

• OpenFOAM 6.0 or
• OpenFOAM 5.0

Features

As of Feb. 2019:

• It can perform Linear and Non-Linear Model Order Reduction.
• Allows using generic parametrization specified by the user.
• It uses POD for the generation of the bases.
• Computes a POD-Galerkin reduced order model.
• Possibility to use non-intrusive POD-I methods with Radial Basis Function Interpolation.
• Discrete Empirical Interpolation Method for non-linearity and non-affinity.

Links

GitHub repository: https://github.com/mathLab/ITHACA-FV

Website: https://mathlab.sissa.it/ITHACA-FV

Documentation: https://mathlab.github.io/ITHACA-FV/

References

Most of the theoretical aspects behind **ITHACA-FV** are deeply explained in [ Stabile2017CAIM ](https://arxiv.org/pdf/1701.03424.pdf) and [ Stabile2017CAF ](https://arxiv.org/pdf/1710.11580.pdf). For this reason, if you use this software, please consider citing the mentioned works, reported in the following bibtex entries: ``` @Article{Stabile2017CAIM, Title = Template:POD-Galerkin reduced order methods for CFD using Finite Volume Discretisation: vortex shedding around a circular cylinder, Author = {Stabile, Giovanni and Hijazi, Saddam and Mola, Andrea and Lorenzi, Stefano and Rozza, Gianluigi}, Journal = {Communications in Applied and Industrial Mathematics}, Year = {(2017)}, Volume = {8}, Number = {1}, pages = {210-236}, Doi = {10.1515/caim-2017-0011}} ```

``` @Article{Stabile2017CAF, Title = Template:Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations, Author = {Stabile, Giovanni and Rozza, Gianluigi}, Journal = {Computers & Fluids}, Year = {2018}, Doi = {10.1016/j.compfluid.2018.01.035}} ```

and cite the [ITHACA-FV website](http://mathlab.sissa.it/ITHACA-FV).

Contact

Giovanni Stabile