Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A novel multigrid method for the solution of the steady Reynolds-Averaged Navier-Stokes#N#equations is presented, that gives convergence speeds similar to laminar-flow multigrid solvers.#N#The method is applied to Menter's one-equation turbulence model. New aspects of the method#N#are the combination of nonlinear Gauss-Seidel smoothing on the finest grid with linear coarse#N#grid corrections, and local damping in the initial stages of the computation, to keep the solution#N#stable; the damping needed is estimated with the nonlinear smoother. Efficiency on the finest#N#grid is increased with full multigrid, second-order accuracy is obtained with defect correction.#N#Tests on boundary layers and airfoil flows show the efficiency of the method.
['Jeroen Wackers', 'Barry Koren']
I am writing a research paper on a idea Multigrid solution method for the steady RANS equations
[{"from": "human", "value": "I am writing a research paper on a idea Multigrid solution method for the steady RANS equations"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A novel multigrid method for the solution of the steady Reynolds-Averaged Navier-Stokes#N#equations is presented, that gives convergence speeds similar to laminar-flow multigrid solvers.#N#The method is applied to Menter's one-equation turbulence model. New aspects of the method#N#are the combination of nonlinear Gauss-Seidel smoothing on the finest grid with linear coarse#N#grid corrections, and local damping in the initial stages of the computation, to keep the solution#N#stable; the damping needed is estimated with the nonlinear smoother. Efficiency on the finest#N#grid is increased with full multigrid, second-order accuracy is obtained with defect correction.#N#Tests on boundary layers and airfoil flows show the efficiency of the method."}]