A new technique for finite difference WENO with geometric conservation law

Taku Nonomura, Daiki Terakado, Yoshiaki Abe, Kozo Fujii

Research output: Contribution to conferencePaperpeer-review

3 Citations (Scopus)

Abstract

A new technique for a finite-difference weighted essentially nonoscillatory scheme (WENO) to satisfy the geometric conservation law on an arbitrary grid system is introduced. This new technique first divides the finite difference WENO into two parts: 1) a consistent central difference part and 2) a numerical dissipation part. For the consistent central difference part, the conservative metric technique is straightforwardly adapted. For the numerical dissipation part, it is proposed that the metric term is frozen for constructing the upwinding flux. This treatment only affects the numerical dissipation part, and the order of accuracy is maintained. With this technique, the freestream is perfectly preserved, and also the flow fields are better resolved on wavy and random grids.

Original languageEnglish
Publication statusPublished - 2013 Sep 13
Externally publishedYes
Event21st AIAA Computational Fluid Dynamics Conference - San Diego, CA, United States
Duration: 2013 Jun 242013 Jun 27

Other

Other21st AIAA Computational Fluid Dynamics Conference
CountryUnited States
CitySan Diego, CA
Period13/6/2413/6/27

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Energy Engineering and Power Technology
  • Aerospace Engineering
  • Mechanical Engineering

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