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ADER scheme for incompressible Navier-Stokes equations on Overset grids with a compact transmission condition

Michel Bergmann 1 Michele Giuliano Carlino 1 Angelo Iollo 1 Haysam Telib 2 
1 MEMPHIS - Modeling Enablers for Multi-PHysics and InteractionS
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : A space-time Finite Volume method is devised to simulate incompressible viscous flows in an evolving domain. Inspired by the ADER method, the Navier-Stokes equations are discretized onto a space-time overset grid which is able to take into account both the shape of a possibly moving object and the evolution of the domain. A compact transmission condition is employed in order to mutually exchange information from one mesh to the other. The resulting method is second order accurate in space and time for both velocity and pressure. The accuracy and efficiency of the method are tested through reference simulations.
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https://hal.inria.fr/hal-03263417
Contributor : Michele Giuliano Carlino Connect in order to contact the contributor
Submitted on : Thursday, June 17, 2021 - 5:12:21 PM
Last modification on : Wednesday, February 2, 2022 - 3:53:55 PM
Long-term archiving on: : Saturday, September 18, 2021 - 6:22:03 PM

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Michel Bergmann, Michele Giuliano Carlino, Angelo Iollo, Haysam Telib. ADER scheme for incompressible Navier-Stokes equations on Overset grids with a compact transmission condition. [Research Report] RR-9414, Inria & Labri, Univ. Bordeaux; Optimad. 2021, pp.32. ⟨hal-03263417⟩

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