Multigrid solution method for the steady RANS equations
A novel multigrid method for the solution of the steady Reynolds-averaged NavierStokes equations is presented, that gives convergence speeds similar to laminar flow multigrid solvers. The method is applied to Menters one-equation turbulence model. New aspects of the method are the combination of nonlinear GaussSeidel 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.
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