Direct numerical simulation of flow in a channel with complex, time-dependent wall geometries: A pseudospectral method (Q1902689)

A pseudospectral method for the numerical simulation of flow in a channel with complex, time-dependent wall geometries is presented. The algorithm yields an accurate tool for the investigation of flows over three-dimensional surfaces which move in time. Through a time-dependent curvilinear transformation, a general domain is mapped to one which permits spectral representation and preserves exact boundary conditions. Static and dynamic tests of the one-dimensional flow over a perturbed wall confirm the accuracy of the time-dependent transformation.