Abstract

The Tam and Webb Dispersion Relation Preserving (DRP) scheme is a robust and accurate spatial differencing method that is widely used in Computational Aeroacoustics (CAA). When used for wall-bounded viscous flow problems, the allowable time step for the DRP scheme becomes excessively small compared to the allowable time step for the periodic viscous problem. In this work, the effect of boundary stencils and the numerical implementation of viscous boundary conditions on the numerical stability of the DRP scheme are investigated. Several strategies for improving the viscous stability limit of the DRP scheme are demonstrated.

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