On the discretization of spatial metrics satisfying the GCL identities

Y. Abe, T. Nonomura, N. Iizuka, K. Fujii

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

In this research, the spatial metrics used in the finite difference scheme for curvilinear coordinate system are discussed from the viewpoint of geometric interpretation. We summarized all the evaluation technique for second-order metrics proposed in the previous studies, and explain their geometric interpretation if they have appropriate geometries. Adoptingthe regular second-order finite difference scheme, only the symmetric conservative formulation has the appropriate geometry in the viewpoint of finite volume scheme. This form straightforwardly extended to the high order scheme, having appropriate geometry interpretations. This form improves the robustness of the high-order computation on the highly skewed grids compared with the asymmetric conservative formulation which is often used in the fluidic computation.

Original languageEnglish
Title of host publicationECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
Pages3575-3594
Number of pages20
Publication statusPublished - 2012 Dec 1
Externally publishedYes
Event6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012 - Vienna, Austria
Duration: 2012 Sep 102012 Sep 14

Publication series

NameECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers

Other

Other6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012
CountryAustria
CityVienna
Period12/9/1012/9/14

Keywords

  • Conservative form
  • Geometric conservation law
  • Geometric interpretation
  • High order scheme
  • SCL identity
  • Spatial metrics

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Applied Mathematics

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  • Cite this

    Abe, Y., Nonomura, T., Iizuka, N., & Fujii, K. (2012). On the discretization of spatial metrics satisfying the GCL identities. In ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers (pp. 3575-3594). (ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers).