Comparative Study of Flux splitting Method for Steady/Unsteady Flow

When introducing the TVD method to the system equation, it is important to treat discontinuity near the shock waves. Flux splitting method handles this discontinuity by separating flux at the cell interface. The flux splitting method is divided into two categories : FDS (Flux Difference Splitting) a...

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Published inNihon Kikai Gakkai rombunshuu. B hen Vol. 63; no. 612; pp. 2676 - 2683
Main Authors SUZUKI, Yujiro, ITO, Akishige, TANAHASHI, Takahiko
Format Journal Article
LanguageEnglish
Japanese
Published The Japan Society of Mechanical Engineers 1997
Subjects
AUSM
Compressible flow
Finite volume method
Unsteady flow
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Summary:When introducing the TVD method to the system equation, it is important to treat discontinuity near the shock waves. Flux splitting method handles this discontinuity by separating flux at the cell interface. The flux splitting method is divided into two categories : FDS (Flux Difference Splitting) and FVS (Flux Vector Splitting). However, they have some defects. For example, in the case of FDS, it becomes diffcult to maintain stability because of strong expansion wave. Also, excessive numerical diffusivity makes the results far from the reality in the case of FVS. Recently AUSM (Advection Upstream Splitting Method) has been proposed. In the present paper, a blunt body with a compressive corner are investigated using three flux splitting methods. We demonstrate the efficiency of AUSM, compared to the other flux splitting methods.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0387-5016
1884-8346
DOI:10.1299/kikaib.63.2676