Volume 27, Issue 5
A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework

Jian Yu & Jan S. Hesthaven

Commun. Comput. Phys., 27 (2020), pp. 1309-1343.

Published online: 2020-03

[An open-access article; the PDF is free to any online user.]

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  • Abstract

Computational fluid dynamics (CFD) is increasingly involved in the design process of modern aircrafts. High order methods are essential for various problems, such as turbulence flows, acoustic prediction, and long time convection of vortices from a wingtip [1], all of which pose a stringent limit on the error level of the simulation, and for which high order methods have been proved to be more efficient than their second order counterpart [2]. The last decades have seen an explosive growth in the amount of research activity in high order methods, among which discontinuous Galerkin (DG) methods [3] have been considered to have great potential in terms of accuracy, geometrical flexibility, h-p adaptivity, parallel efficiency, and so on.

  • Keywords

High order methods, discontinuous Galerkin, shock capturing, artificial viscosity.

  • AMS Subject Headings

76M10

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

yuj@buaa.edu.cn (Jian Yu)

Jan.Hesthaven@epfl.ch (Jan S. Hesthaven)

  • BibTex
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  • TXT
@Article{CiCP-27-1309, author = {Yu , Jian and Hesthaven , Jan S. }, title = {A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework}, journal = {Communications in Computational Physics}, year = {2020}, volume = {27}, number = {5}, pages = {1309--1343}, abstract = {

Computational fluid dynamics (CFD) is increasingly involved in the design process of modern aircrafts. High order methods are essential for various problems, such as turbulence flows, acoustic prediction, and long time convection of vortices from a wingtip [1], all of which pose a stringent limit on the error level of the simulation, and for which high order methods have been proved to be more efficient than their second order counterpart [2]. The last decades have seen an explosive growth in the amount of research activity in high order methods, among which discontinuous Galerkin (DG) methods [3] have been considered to have great potential in terms of accuracy, geometrical flexibility, h-p adaptivity, parallel efficiency, and so on.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2019-0118}, url = {http://global-sci.org/intro/article_detail/cicp/15772.html} }
TY - JOUR T1 - A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework AU - Yu , Jian AU - Hesthaven , Jan S. JO - Communications in Computational Physics VL - 5 SP - 1309 EP - 1343 PY - 2020 DA - 2020/03 SN - 27 DO - http://dor.org/10.4208/cicp.OA-2019-0118 UR - https://global-sci.org/intro/cicp/15772.html KW - High order methods, discontinuous Galerkin, shock capturing, artificial viscosity. AB -

Computational fluid dynamics (CFD) is increasingly involved in the design process of modern aircrafts. High order methods are essential for various problems, such as turbulence flows, acoustic prediction, and long time convection of vortices from a wingtip [1], all of which pose a stringent limit on the error level of the simulation, and for which high order methods have been proved to be more efficient than their second order counterpart [2]. The last decades have seen an explosive growth in the amount of research activity in high order methods, among which discontinuous Galerkin (DG) methods [3] have been considered to have great potential in terms of accuracy, geometrical flexibility, h-p adaptivity, parallel efficiency, and so on.

Jian Yu & Jan S. Hesthaven. (2020). A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework. Communications in Computational Physics. 27 (5). 1309-1343. doi:10.4208/cicp.OA-2019-0118
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