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Application of fourth‒order difference method to prediction of turbulence control in two‒dimensional channel with surface roughness
Author(s) -
Tokunaga Hiroshi,
Yamauchi Akira
Publication year - 1997
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/(sici)1097-0363(19971130)25:10<1107::aid-fld609>3.0.co;2-m
Subject(s) - turbulence , reynolds number , mechanics , vorticity , surface roughness , surface finish , open channel flow , mathematics , channel (broadcasting) , geometry , flow (mathematics) , direct numerical simulation , mathematical analysis , physics , vortex , engineering , thermodynamics , mechanical engineering , electrical engineering
The fourth‒order finite difference method is combined with the vorticity–streamfunction formulation in generalized co‒ordinates. Direct numerical simulations are performed for channel flows with and without surface roughness at a Reynolds number of 10 4 . The present results are in good agreement with those of the pseudospectral method with respect to the flow in a smooth channel. It is shown that the present method predicts well the precise change in the flow with the channel length and roughness height. The turbulence is generally weakened by the roughness. Laminarization is also accomplished under the appropriate condition. © 1997 John Wiley & Sons, Ltd.