Artificial compression methods are used in computational fluid dynamics as a cost‐effective way of solving for the velocity and pressure in a flow. However, relaxation of compressibility in these algorithms yields nonphysical oscillations in the pressure. This report presents analysis and computational tests of time filters to reduce nonphysical acoustic waves in artificial compression methods.
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Rong, Yao ; Layton, William ; Zhao, Haiyun ( , Journal of Scientific Computing)
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Rong, Yao ; Layton, William ; Zhao, Haiyun ( , Numerical Methods for Partial Differential Equations)
Abstract Complex turbulence not at statistical equilibrium is impossible to simulate using eddy viscosity models due to a backscatter. This research presents the way to correct the Baldwin–Lomax model for nonequilibrium effects and gives an analysis of the energy evolution in the corrected model. Furthermore, a finite element approximation of the corrected eddy model with first‐order and second‐order time discretization is also presented. A numerical test is given to support the theory.