A third order accurate cellwise relaxation implicit discontinuous Galerkin scheme for unstructured hybrid meshes
type: Item
instance of: scholarly article
title: A third order accurate cellwise relaxation implicit discontinuous Galerkin scheme for unstructured hybrid meshes
zbMATH Open document ID: 1407.76060
DOI: 10.1155/2014/176752
author: Hiroyuki Asada
author: Yousuke Ogino
author: Kanako Yasue
author: Keisuke Sawada
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: A third order accurate cellwise relaxation implicit Discontinuous Galerkin (DG) scheme for RANS simulations using unstructured hybrid meshes is presented. A scalar parabolic equation is first examined to clarify what is really important in construction of implicit matrix to keep its diagonal dominance for the third and fourth order cellwise relaxation implicit DG schemes. In addition, discussions are given to approximated construction of implicit matrix for reducing computational cost. Then, the third order accurate cellwise relaxation implicit DG scheme for RANS simulations is successfully developed utilizing the expertise learned in the study of solving the parabolic equation. Superior spatial accuracy of the third order accurate cellwise relaxation implicit DG scheme for RANS simulations, while retaining reasonable convergence properties, is demonstrated for typical aerospace applications.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 76F65
zbMATH DE Number: 7015844
Wikidata QID: Q59063491
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/176752
OpenAlex ID: W2084068888
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description: scientific article; zbMATH DE number 7015844