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A flux‐vector splitting method for steady Navier‐Stokes equations
Author(s) -
Dick E.
Publication year - 1988
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/fld.1650080305
Subject(s) - mathematics , navier–stokes equations , relaxation (psychology) , mathematical analysis , flow (mathematics) , flux (metallurgy) , compressibility , computational fluid dynamics , vector field , incompressible flow , mechanics , physics , geometry , psychology , social psychology , materials science , metallurgy
Abstract The flux‐vector splitting method is applied to the convective part of the steady Navier‐Stokes equations for incompressible flow. By the use of partial upwind differences in the split first‐order part and central differences in the second‐order part, a set of discrete equations is obtained which can be solved by vector variants of classical relaxation schemes. It is shown that accurate results can be obtained on one of the GAMM backward‐facing step test problems.