ITHACA-DG - In real Time Highly Advanced Computational Applications for Discontinuous Galerkin - ROMs for HopeFOAM

0. Introduction

ITHACA-DG is an implementation in HopeFOAM of several reduced order modelling techniques. ITHACA-DG is designed for HopeFOAM 0.1, which is based on OpenFOAM 4.0 OpenFOAM 4.0 .

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-DG and is located in the src/thirdyparty/Eigen folder. 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-DG has been tested on ubuntu 18.04 but can be easily compiled on any linux distribution with a compiled version of OpenFOAM 4.0.

1. Prerequisites

ITHACA-DG requires

• HopeFOAM 0.1

2. Installation and usage

First of all you need to source the bashrc file of your installation of HopeFOAM 0.1. This is of course depending on the location of your OpenFOAM installation and of your particular version of OpenFOAM

source $HOME/HopeFOAM/HopeFOAM-0.1/etc/bashrc

Then navigate to the folder where you want to install ITHACA-DG such as, for example, the utilities folder of OpenFOAM

cd ${FOAM_APP}/utilities

Now you can clone the ITHACA-DG repository inside the selected folder

git clone https://github.com/mathLab/ITHACA-DG

and you can compile ITHACA-DG by navigating inside the src folder and compiling using wmake

cd ITHACA-DG
./Allwmake 

For a brief description of the classes and methods, you can check the official ITHACA-DG doxygen documentation.

3. Tutorials

Tutorials are provided the tutorials subfolder.

• [Tutorial 1] In this tutorial is implemented the development of a parametrized POD-Galerkin method for an unsteady Navier-Stokes problem. The parametrization is on the viscosity. The OpenFOAM full order problem is based on dgChorin solver.

4. Authors and contributors

ITHACA-DG is currently developed and mantained at SISSA mathLab by Dr. Andrea Lario under the supervision of Prof. Gianluigi Rozza

Contact us by email for further information or questions about ITHACA-DG, or open an ''Issue'' on this website. ITHACA-DG is at an early development stage, so contributions improving either the code or the documentation are welcome, both as patches or merge requests on this website.

5. License

ITHACA-DG is freely available under the GNU LGPL, version 3.