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The numerical solution of the laminar flow in a constricted channel at moderately high Reynolds number using Newton iteration
Author(s) -
Hunt Roland
Publication year - 1990
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.1650110209
Subject(s) - reynolds number , laminar flow , upwind scheme , flow (mathematics) , mathematics , mechanics , newton's method , transformation (genetics) , algebraic number , channel (broadcasting) , geometry , physics , mathematical analysis , computer science , nonlinear system , chemistry , telecommunications , turbulence , biochemistry , quantum mechanics , discretization , gene
The numerical solution of the flow in a stepped channel constricted to half its width has been obtained for Reynolds numbers up to 2000 using Newton's iteration to solve the ensuing algebraic system. In order to avoid high‐frequency errors, a locally fine grid is effected near the corner by transformation of the independent variables. The results predict a downstream recirculation region, observed in experiments but not found in earlier numerical calculations. The inclusion of the Dennis–Hudson upwinding, added for stability in SOR methods, whilst giving the same characteristics of the flow, is less accurate by at least an order of magnitude.