EPJ Web of Conferences (Jan 2024)

Discontinuous Galerkin schemes for the Stokes problem

  • Mroueh Mayssa,
  • Jamelot Erell,
  • Omnes Pascal

DOI
https://doi.org/10.1051/epjconf/202430203006
Journal volume & issue
Vol. 302
p. 03006

Abstract

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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.