A strongly conservative hybridizable discontinuous Galerkin method for the coupled time-dependent Navier-Stokes and Darcy problem
Numerical Analysis
2023-03-20 v1 Numerical Analysis
Abstract
We present a strongly conservative and pressure-robust hybridizable discontinuous Galerkin method for the coupled time-dependent Navier-Stokes and Darcy problem. We show existence and uniqueness of a solution and present an optimal a priori error analysis for the fully discrete problem when using Backward Euler time stepping. The theoretical results are verified by numerical examples.
Keywords
Cite
@article{arxiv.2303.09882,
title = {A strongly conservative hybridizable discontinuous Galerkin method for the coupled time-dependent Navier-Stokes and Darcy problem},
author = {A. Cesmelioglu and J. J. Lee and S. Rhebergen},
journal= {arXiv preprint arXiv:2303.09882},
year = {2023}
}