A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes/Biot problem

A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes/Biot problem

In this paper we present a hybridizable discontinuous Galerkin method for the time-dependent Navier-Stokes equations coupled to the quasi-static poroelasticity equations via interface conditions. We determine a bound on the data that guarantees stability and well-posedness of the fully discrete prob...

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Hauptverfasser: Cesmelioglu, Aycil, Lee, Jeonghun J, Rhebergen, Sander
Format: Artikel
Sprache:eng
Schlagworte:
Computer Science - Numerical Analysis
Mathematics - Numerical Analysis
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Zusammenfassung:In this paper we present a hybridizable discontinuous Galerkin method for the time-dependent Navier-Stokes equations coupled to the quasi-static poroelasticity equations via interface conditions. We determine a bound on the data that guarantees stability and well-posedness of the fully discrete problem and prove a priori error estimates. A numerical example confirms our analysis.
DOI:10.48550/arxiv.2308.15621