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An h 4 accurate vorticity‐velocity formulation for calculating flow past a cylinder
Author(s) -
Dennis S. C. R.,
Hudson J. D.
Publication year - 1995
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.1650210604
Subject(s) - potential flow around a circular cylinder , vorticity , reynolds number , mathematics , cylinder , vorticity equation , incompressible flow , navier–stokes equations , flow (mathematics) , mathematical analysis , pressure correction method , computational fluid dynamics , compressibility , mechanics , physics , classical mechanics , geometry , vortex , turbulence , open channel flow
A method of solution for the two‐dimensional Navier‐Stokes equations for incompressible flow past a cylinder is given in which the euquation of continuity is solved by a step‐by‐step integration procedure at each stage of an interative process. Thus the formulation involves the solution of one first‐order and one second‐order equation for the velocity components, together with the vorticity transport equation. the equations are solved numerically by h 4 ‐accurate methods in the case of steady flow past a circular cylinder in the Reynolds number range 10–100. Results are in satisfactory agreement with recent h 4 ‐accurate calculations. An improved approximation to the boundary conditions at large distance is also considered.