Article Dans Une Revue EPJ Web of Conferences Année : 2024

Discontinuous Galerkin schemes for the Stokes problem

Résumé

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.
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cea-04902442 , version 1 (20-01-2025)

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Mayssa Mroueh, Erell Jamelot, Pascal Omnes. Discontinuous Galerkin schemes for the Stokes problem. EPJ Web of Conferences, 2024, 302, pp.03006. ⟨10.1051/epjconf/202430203006⟩. ⟨cea-04902442⟩
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