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Comparison between two finite‐difference schemes for computing the flow around a cylinder
Author(s) -
Borthwick A.
Publication year - 1986
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.1650060503
Subject(s) - wake , mathematics , vorticity , finite difference , cylinder , vortex shedding , finite difference method , upwind scheme , computational fluid dynamics , flow (mathematics) , viscosity , navier–stokes equations , vortex , mathematical analysis , relaxation (psychology) , vorticity equation , mechanics , geometry , turbulence , physics , compressibility , psychology , social psychology , quantum mechanics , reynolds number , discretization
Separated flow past a circular cylinder is computed from two finite‐difference Navier–Stokes models. Stream functions are calculated using a successive‐over‐relaxation (SOR) procedure. Alternating‐direction‐implicil (ADI) and ‘upwind’ directional difference explicit (DDE) numerical schemes for solving the vorticity‐transport equation are compared. The ‘upwind’ differencing technique produces artificial viscosity which damps the wake and suppresses vortex shedding. It is shown to be unreliable and so the ADI approach is recommended.