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On body‐fitted co‐ordinates for separated laminar flows past wall‐mounted obstacles
Author(s) -
Yeung P. K.,
Kot S. C.
Publication year - 1985
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620210511
Subject(s) - curvilinear coordinates , laminar flow , ordinate , geometry , mechanics , flow (mathematics) , mathematics , compressibility , mathematical analysis , physics
A body‐fitted curvilinear co‐ordinate system is used to solve the equations of two‐dimensional incompressible laminar flow over bluff obstructions by finite differences. Arbitrary conditions at the corner are removed by this method. Results for a backward‐facing step are in reasonable agreement with those obtained with conventional mesh systems, and the differences are explained. A treatment of a channel expansion, in comparison with empirical data, is also included. The capability of the present method to handle arbitrary two‐dimensional geometries is stressed and demonstrated, using a triangle and a semi‐circle as examples.