DGFEM for Acoustic Wave Propagation

This repository implements a discontinuous Galerkin finite element method (DGFEM) applied to the linearized Euler equations and the acoustic perturbation equations. The solver is based on GMSH library and supports a wide range of features:

• 1D, 2D, 3D problems
• 4-th order Runge-Kutta
• High order elements
• Absorbing and reflecting boundaries
• Complex geometry and unstructured grid

For more information, a detailled report is available here.

Auditorium	Isosurfaces	Bulk

Getting Started

Prerequisites

First, make sure the following libraries are installed. If you are running a linux distribution (ubuntu, debian, ...), an installation script is provided.

Gmsh
Eigen
Lapack
Blas
OpenMP

Installing

git clone https://github.com/pvanberg/MATH0471-DG.git
cd MATH0471-DG
mkdir build && cd build
cmake .. && make -j4

Running the tests

Once the sources sucessfully build, you can start using with the solver. It required two arguments: a mesh file created with Gmsh and a config file containing the solver options. Examples of mesh files and config files are given here.

cd bin
./dgalerkin mymesh.msh myconfig.conf

Minimal working example

2D propagation of an Gaussian initial condition over a square.

./dgalerkin ../../doc/2d/square.msh ../../doc/config/config.conf 

Authors

• Pierre-Olivier Vanberg
• Martin Lacroix
• Tom Servais