A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes/Biot problem
Numerical Analysis
2023-08-31 v1 Numerical Analysis
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.
Cite
@article{arxiv.2308.15621,
title = {A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes/Biot problem},
author = {Aycil Cesmelioglu and Jeonghun J. Lee and Sander Rhebergen},
journal= {arXiv preprint arXiv:2308.15621},
year = {2023}
}