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A Flux-Splitting Scheme for Compressible and Incompressible Flows

✍ Scribed by Cord-Christian Rossow

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
180 KB
Volume
164
Category
Article
ISSN
0021-9991

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✦ Synopsis

In the present work, a recently proposed flux-splitting scheme suitable for compressible flow is extended to incompressible flows. Appropriate dissipation terms for both incompressible and compressible flows are determined by expanding the Roe flux-difference splitting in terms of Mach number. Analysis of the dissipation terms in this form for both the Roe scheme and the basic (current) scheme leads to the incorporation of certain terms into the basic scheme to establish the transition from compressible flow toward the incompressible limit. Using the proper terms in the dissipation formulation, convergence rates for airfoil flows became nearly independent of the freestream Mach number.

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This work was sponsored under the Program in Ocean Surface Processes and Remote Sensing at the University of Michigan, funded under the University Research Initiative of the Office of Naval Research, Contract N00014-92-J1650.