A strongly conservative hybridizable discontinuous Galerkin method for the coupled time-dependent Navier–Stokes and Darcy problem

A strongly conservative hybridizable discontinuous Galerkin method for the coupled time-dependent Navier–Stokes and Darcy problem

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 Ba...

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Veröffentlicht in:ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN) 2024-01, Vol.58 (1), p.273-302
Hauptverfasser: Cesmelioglu, Aycil, Lee, Jeonghun J., Rhebergen, Sander
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2822-7840
2804-7214
DOI:10.1051/m2an/2023086