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On the Evaluation of Iteration Parameters for the Boundary Vorticity
Author(s) -
Israeli M.
Publication year - 1972
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm197251167
Subject(s) - vorticity , boundary (topology) , mathematics , coordinate system , mathematical analysis , vorticity equation , boundary value problem , vortex , physics , mechanics , geometry
A method suggested for computing iteration parameters for the boundary vorticity of slightly viscous fluids (Israeli 1970) is reconsidered. A more general model is constructed which is applicable to rotating and non‐rotating flows in several coordinate systems, and each coordinate can be independently stretched. The iteration parameters can be used with either the time centered implicit (Crank‐Nicholson) or with the alternating direction implicit (Peaceman‐Rachford) time differencing approximation.