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HIGH‐ORDER‐ACCURATE SCHEMES FOR INCOMPRESSIBLE VISCOUS FLOW
Author(s) -
Strikwerda John C.
Publication year - 1997
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19970415)24:7<715::aid-fld513>3.0.co;2-e
Subject(s) - smoothness , compressibility , mathematics , computational fluid dynamics , navier–stokes equations , incompressible flow , finite difference , scheme (mathematics) , flow (mathematics) , mathematical optimization , mathematical analysis , geometry , mechanics , physics
We present new finite difference schemes for the incompressible Navier–Stokes equations. The schemes are based on two spatial differencing methods; one is fourth‐order‐accurate and the other is sixth‐order accurate. The temporal differencing is based on backward differencing formulae. The schemes use non‐staggered grids and satisfy regularity estimates, guaranteeing smoothness of the solutions. The schemes are computationally efficient. Computational results demonstrating the accuracy are presented. © 1997 by John Wiley & Sons, Ltd.