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Numerical solutions of high‐ Re recirculating flows in vorticity‐velocity form
Author(s) -
Guj G.,
Stella F.
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.1650080404
Subject(s) - discretization , vorticity , laminar flow , mathematics , navier–stokes equations , computational fluid dynamics , scalar (mathematics) , compressibility , pressure correction method , incompressible flow , numerical analysis , grid , mechanics , physics , mathematical analysis , vortex , geometry
A numerical method for computing high‐ Re laminar steady flows is presented. The incompressible Navier‐Stokes equations are expressed in terms of vorticity‐velocity variables, discretized in space by finite differences on a staggered grid and advanced in time by a scalar alternating direction implicit (ADI) procedure, which allows a fully vectorized computer code. The accuracy and efficiency of the present formulation are discussed in comparison with the standard ω‐ψ and u , v , P forms. Numerical results are presented for two test cases: the driven cavity at Re up to 5000 and the backward‐facing step at Re up to 800.