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Multigrid solution method for the steady RANS equations
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DOI：10.1016/j.jcp.2007.06.007.png)
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Abstract
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A novel multigrid method for the solution of the steady Reynolds-averaged Navier-Stokes equations is presented, that gives convergence speeds similar to laminar flow multigrid solvers. The method is applied to Menter's one-equation turbulence model. New aspects of the method are the combination of nonlinear Gauss-Seidel smoothing on the finest grid with linear coarse-grid corrections, and local damping in the initial stages of the computation, to keep the solution stable; the damping needed is estimated with the nonlinear smoother. Efficiency on the finest grid is increased with full multigrid, second-order accuracy is obtained with defect correction. Tests on boundary layers and airfoil flows show the efficiency of the method. (c) 2007 Elsevier Inc. All rights reserved.
Keywords:
turbulence
Reynolds-averaged Navier-Stokes
menter model
linear multigrid
line Gauss-Seidel
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