Symmetric-conservative metric evaluations for higher-order finite difference scheme with the GCL identities on three-dimensional moving and deforming mesh

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

Research output: Contribution to conferencePaper

9 Citations (Scopus)

Abstract

New conservative forms are introduced for time metrics and the Jacobian, which satisfy the geometric conservation law (:GCL) identity even when higher-order spatial discretization is employed for the moving and deforming meshes. The conservative quantities are ensured to keep constant for three-dimensional moving and deforming meshes with use of these new forms for the computation of the uniform flow. In addition, one of the new forms has spatial symmetry property, and some tests indicate the significance of the spatial symmetry in the expression of time metrics and the Jacobian.

Original languageEnglish
Publication statusPublished - 1 Jan 2012
Event7th International Conference on Computational Fluid Dynamics, ICCFD 2012 - Big Island, United States
Duration: 9 Jul 201213 Jul 2012

Conference

Conference7th International Conference on Computational Fluid Dynamics, ICCFD 2012
CountryUnited States
CityBig Island
Period9/07/1213/07/12

Keywords

  • Body-fitted coordinates
  • Freestream preservation
  • Geometric conservation law
  • Moving and deforming grid
  • Volume conservation law
  • Vortex preservation

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    Abe, Y., Iizuka, N., Nonomura, T., & Fujii, K. (2012). Symmetric-conservative metric evaluations for higher-order finite difference scheme with the GCL identities on three-dimensional moving and deforming mesh. Paper presented at 7th International Conference on Computational Fluid Dynamics, ICCFD 2012, Big Island, United States.