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

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.


Published in:
Communications In Computational Physics, 27, 5, 1309-1343
Year:
May 01 2020
Publisher:
Wanchai, GLOBAL SCIENCE PRESS
ISSN:
1815-2406
1991-7120
Keywords:
Laboratories:




 Record created 2020-04-02, last modified 2020-10-27


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