Year: 2024
Type: article
Abstract: \nOur 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.\n
Authors: Mayssa Mroueh, Erell Jamelot, Pascal Omnes
Institutions: Centre National de la Recherche Scientifique, Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Université Paris-Saclay, Université Sorbonne Paris Nord, Laboratoire Analyse, Géométrie et Applications, CEA Paris-Saclay, Service de Thermo-hydraulique et de Mécanique des Fluides, Service de Génie Logiciel pour la Simulation
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6921870755
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