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General Formulations for Rhie-Chow Interpolation

[+] Author Affiliations
Xiang Zhao

University of Alabama at Huntsville, Huntsville, AL

Sijun Zhang

CFD Research Corporation, Huntsville, AL

Paper No. HT-FED2004-56274, pp. 567-573; 7 pages
doi:10.1115/HT-FED2004-56274
From:
  • ASME 2004 Heat Transfer/Fluids Engineering Summer Conference
  • Volume 2, Parts A and B
  • Charlotte, North Carolina, USA, July 11–15, 2004
  • Conference Sponsors: Heat Transfer Division and Fluids Engineering Division
  • ISBN: 0-7918-4691-1 | eISBN: 0-7918-3740-8
  • Copyright © 2004 by ASME

abstract

In this paper, general formulations for Rhie-Chow interpolation on co-located grid are derived. Unlike the standard Rhie-Chow interpolation, the general formulations are applicable for any flow conditions. It has observed that the original momentum-based interpolation due to Rhie and Chow has serious deficiency, such as under-relaxation factor dependence, failure to suppress saw-tooth pressure solutions with small time step size for unsteady state problems and wrong solutions or divergence with discontinuities. Thus the derivation of Rhie-Chow interpolation is first recalled, then the errors of numerical discretization are analyzed, finally, new formulations and some improvements are given.

Copyright © 2004 by ASME
Topics: Interpolation

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