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Internal three‐dimensional viscous flow solutions using the vorticity‐potential method
Author(s) -
Yang Herong,
Camarero Ricardo
Publication year - 1991
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.1650120102
Subject(s) - curvilinear coordinates , vorticity , flow (mathematics) , vorticity equation , mathematics , upwind scheme , computational fluid dynamics , viscous flow , mechanics , grid , numerical diffusion , internal flow , vortex , mathematical analysis , geometry , physics , discretization
A numerical solution procedure for internal three‐dimensional viscous flow is proposed in this paper. The formulation is based on the non‐primitive variables, the vorticity and potentials, on a curvilinear grid. A new upwind difference scheme is introduced to overcome the convective instabilities arising in the central difference scheme for the vorticity transport equations, while keeping false diffusion to a minimum level. Developing flows in both straight and curved square ducts are simulated to validate the procedure. The results are compared with both experimental measurements and analytical solutions.