Industrial flows are usually computed on non-orthogonal grids when structured meshes are used. An accurate method, called here the S scheme, exists for staggered arrangement of the unknowns to evaluate gradients on non-smooth grids. This paper shows how this strategy is applied to colocated grids and describes the improvements required to get accurate results. Tests are made for simple flows for which the grid has been artificially skewed. Comparisons with the usual colocated two-point discretization are favourable to the colocated adaption of the S scheme.
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CNRS, Lab Jacques Louis Lions, F-75252 Paris 05, France
Univ Paris 06, F-75252 Paris 05, FranceCNRS, Lab Jacques Louis Lions, F-75252 Paris 05, France
Bernardi, Christine
Rebollo, Tomas Chacon
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Univ Seville, Dept Ecuaciones Diferenciales & Anal Numrico, E-41012 Seville, Spain
Univ Seville, IMUS, E-41012 Seville, SpainCNRS, Lab Jacques Louis Lions, F-75252 Paris 05, France
Rebollo, Tomas Chacon
Yakoubi, Driss
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Univ Laval, Dept Math & Stat, GIREF, Quebec City, PQ G1V OA6, CanadaCNRS, Lab Jacques Louis Lions, F-75252 Paris 05, France
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Univ Illinois, Mech Sci & Engn, 1206 W Green St, Urbana, IL 61801 USAUniv Illinois, Mech Sci & Engn, 1206 W Green St, Urbana, IL 61801 USA
Mittal, Ketan
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Dutta, Som
Fischer, Paul
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Univ Illinois, Mech Sci & Engn, 1206 W Green St, Urbana, IL 61801 USA
Univ Illinois, Comp Sci, 201 N Goodwin Ave, Urbana, IL 61801 USAUniv Illinois, Mech Sci & Engn, 1206 W Green St, Urbana, IL 61801 USA