Gradient-Robust Hybrid DG Discretizations for the Compressible Stokes Equations.
J Sci Comput
; 100(2): 54, 2024.
Article
em En
| MEDLINE
| ID: mdl-38974937
ABSTRACT
This paper studies two hybrid discontinuous Galerkin (HDG) discretizations for the velocity-density formulation of the compressible Stokes equations with respect to several desired structural properties, namely provable convergence, the preservation of non-negativity and mass constraints for the density, and gradient-robustness. The later property dramatically enhances the accuracy in well-balanced situations, such as the hydrostatic balance where the pressure gradient balances the gravity force. One of the studied schemes employs an H ( div ) -conforming velocity ansatz space which ensures all mentioned properties, while a fully discontinuous method is shown to satisfy all properties but the gradient-robustness. Also higher-order schemes for both variants are presented and compared in three numerical benchmark problems. The final example shows the importance also for non-hydrostatic well-balanced states for the compressible Navier-Stokes equations.
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Coleções:
01-internacional
Base de dados:
MEDLINE
Idioma:
En
Revista:
J Sci Comput
Ano de publicação:
2024
Tipo de documento:
Article
País de afiliação:
Holanda