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An application of the vorticity–vector potential method to laminar cube flow
Author(s) -
Raul Robin,
Bernard Peter S.,
Buckley Frank T.
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.1650100803
Subject(s) - laminar flow , vorticity , vorticity equation , mathematics , reynolds number , cube (algebra) , computational fluid dynamics , scalar (mathematics) , flow (mathematics) , mathematical analysis , physics , classical mechanics , mechanics , geometry , vortex , turbulence
Three‐dimensional incompressible laminar flow around a cube is investigated using the vorticity–vector potential formulation of the equations of motion. Numerical solutions to á semi‐implicit finite difference approximation to the vorticity transport equation coupled to discrete Poisson equations for the scalar and vector potentials are obtained using an eight‐colour SOR algorithm. Calculations are done at a range of Reynolds numbers from 10 to 100. The predicted drag and other flow characteristics are found to agree well with experimental results, including those from a cube drop experiment performed for the present study.