| Issue |
EPJ Web Conf.
Volume 302, 2024
Joint International Conference on Supercomputing in Nuclear Applications + Monte Carlo (SNA + MC 2024)
|
|
|---|---|---|
| Article Number | 03006 | |
| Number of page(s) | 10 | |
| Section | Thermal-Hydraulics | |
| DOI | https://doi.org/10.1051/epjconf/202430203006 | |
| Published online | 15 October 2024 | |
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
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