Application of fourth-order difference method to prediction of turbulence control in two-dimensional channel with surface roughness. (English) Zbl 0897.76067
Summary: The fourth-order finite difference method is combined with the vorticity-streamfunction formulation in generalized coordinates. 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.
MSC:
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 76F10 | Shear flows and turbulence |
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