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A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework

A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework
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Year:    2020

Author:    Jian Yu, Jan S. Hesthaven

Communications in Computational Physics, Vol. 27 (2020), Iss. 5 : pp. 1309–1343

Abstract

Dealing with strong shocks while retaining low numerical dissipation traditionally has been one of the major challenges for high order methods like discontinuous Galerkin (DG). In the literature, shock capturing models have been designed for DG based on various approaches, such as slope limiting, (H)WENO reconstruction, a posteriori sub-cell limiting, and artificial viscosity, among which a subclass of artificial viscosity methods are compared in the present work. Four models are evaluated, including a dilation-based model, a highest modal decay model, an averaged modal decay model, and an entropy viscosity model. Performance for smooth, non-smooth and broadband problems are examined with typical one- and two-dimensional cases.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2019-0118

Communications in Computational Physics, Vol. 27 (2020), Iss. 5 : pp. 1309–1343

Published online:    2020-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    35

Keywords:    High order methods discontinuous Galerkin shock capturing artificial viscosity.

Author Details

Jian Yu

Jan S. Hesthaven

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