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: http://github.com/mathLab/ITHACA-FV

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

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

References

• G. Stabile, G. Rozza, Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations, Computers & Fluids, Elsevier BV, 2018, 173, 273-284
• G. Stabile, S. Hijazi, A. Mola, S. Lorenzi, G. Rozza, POD-Galerkin reduced order methods for CFD using Finite Volume Discretisation: vortex shedding around a circular cylinder Communications in Applied and Industrial Mathematics, Walter de Gruyter GmbH, 2017, 8, 210-236
• G. Stabile, G. Rozza, Efficient Geometrical parametrization for finite-volume based reduced order methods, 2019, submitted.
• S. Hijazi, S. Ali, G. Stabile, F. Ballarin, G. Rozza, The Effort of Increasing Reynolds Number in Projection-Based Reduced Order Methods: from Laminar to Turbulent Flows, FEF Special Volume, 2018
• S. Georgaka, G. Stabile, G. Rozza, M. J. Bluck, Parametric POD-Galerkin Model Order Reduction for Unsteady-State Heat Transfer Problems, Communications in Computational Physics, 2019, in Press.

How to cite

Most of the theoretical aspects behind ITHACA-FV are deeply explained in Stabile2017CAIM and Stabile2017CAF. For this reason, if you use this software, please consider citing the mentioned works, reported in the following bibtex entries:

@Article{Stabile2017CAIM,
Title                    = {{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                    = {{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.

Contact

Giovanni Stabile