The approximate deconvolution model for large-eddy simulation is formulated for a second-order finite volume scheme. With the approximate deconvolution model, an approximation of the unfiltered solution is obtained by repeated filtering, and given a good approximation of the unfiltered solution, the nonlinear terms of the Navier-Stokes equations are computed directly. The effect of scales not represented on the numerical grid is modeled by a relaxation regularization involving a secondary filter operation. A turbulent channel flow at a Mach number of and a Reynolds number based on bulk quantities of is selected for validation of the approximate deconvolution model implementation in a finite volume code. A direct numerical simulation of this configuration has been computed by Coleman et al. Overall, our large-eddy simulation results show good agreement with our filtered direct numerical simulation data. For this rather simple configuration and the low-order spatial discretization, differences between approximate deconvolution model and a no-model computation are found to be small.
The Approximate Deconvolution Model for Large-Eddy Simulation of Compressible Flows With Finite Volume Schemes
Contributed by the Fluids Engineering Division for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received by the Fluids Engineering Division March 12, 2002; revised manuscript received May 31, 2002. Associate Editor: F. F. Grinstein.
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von Kaenel, R., Adams, N. A., Kleiser, L., and Vos, J. B. (December 4, 2002). "The Approximate Deconvolution Model for Large-Eddy Simulation of Compressible Flows With Finite Volume Schemes ." ASME. J. Fluids Eng. December 2002; 124(4): 829–835. https://doi.org/10.1115/1.1511167
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