Numerical simulation of flows over corrugated walls

Effectiveness of three methods for simulation of flows over corrugated/roug h boundaries has been analyzed. Domain perturbation method, which approxima tes shape of the boundary, is applicable to corrugation amplitudes up to 10 (-1) and provides accuracy no better than O(10(-1)) for such conditions. It s absolute accuracy significantly increases for lower amplitudes especially when higher-order versions of the method are used. Domain transformation m ethod (DTM) enforces flow boundary conditions exactly, provides spectral ac curacy but is very laborious in implementation due to a very complex form o f the field equations. Direct method (DM) enforces flow boundary conditions with spectral accuracy and is simple in implementation. DM is recommended for most applications. When either corrugation amplitude or its wave number becomes excessively large, DTM is recommended due to its better mode effic iency. (C) 2001 Elsevier Science Ltd. All rights reserved.