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A comparison of second order convection discretization schemes for incompressible fluid flow

✍ Scribed by Kobayashi, M. H. ;Pereira, J. C. F.

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 743 KB
Volume: 12
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(199607)12:7<395::aid-cnm987>3.0.co;2-v

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✦ Synopsis

The paper addresses the problem of convection discretization by extension and application of numerical schemes used in compressible flows: SONIC-A, SONIC-B, UN02, MUSCL and MINMOD to predict steady incompressible recirculating convection dominated flows. A new scheme, SONIC-Q, is proposed together with a third-order non-oscillatory practice for pressure interpolation in non-staggered grids. Finite-volume calculations of the Navier-Stokes equations of a standard 2D driven square cavity standard test case and the laminar flow over a fence using primitive variables and non-staggered grid systems have shown that the schemes are alternatives to the conventional ones used in general algorithms for incompressible recirculating flows. In general these composite high-order schemes have proved to be good candidates to overcome the problems of false-diffusion and unboundedness encountered in non-composite high-order upwind schemes used in incompressible flows.

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