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

2023/08/29 by Ayçıl Çeşmeli̇oğlu, Cesmelioglu, Aycil, Jeonghun J. Lee +3 · 1 citation
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.2308.15621

Abstract

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.

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