https://doi.org/10.1051/epjconf/202430203006
Discontinuous Galerkin schemes for the Stokes problem
1 Université Paris-Saclay, CEA, Service de Thermo-hydraulique et de Mécanique des Fluides, 91191 Gif-sur-Yvette, France
2 Université Paris-Saclay, CEA, Service de Génie Logiciel pour la Simulation, 91191, Gif-sur-Yvette, France
3 Université Sorbonne Paris Nord, LAGA, CNRS UMR 7539, Institut Galilée, 93430 Villetaneuse, France
* e-mail: mayssa.mroueh@cea.fr
** e-mail: erell.jamelot@cea.fr
*** e-mail: pascal.omnes@cea.fr
Published online: 15 October 2024
Our aim is to develop a robust and flexible code to simulate flows in nuclear core reactors. Discontinuous Galerkin schemes are thus proposed here to solve the Stokes problem, which stands as a fundamental element in fluid mechanics. A priori error estimates are provided when the solution is weakly regular. Details on how to solve the large-scale linear system are given. We moreover explain how to discretize a singular source term. Finally, we give numerical results of two test-cases for which the solution is weakly regular.
© The Authors, published by EDP Sciences, 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
