Evaluation of Second Order Schemes and Defect Correction for the Multigrid Computation of Airfoil Flows with the Steady Euler Equations

摘要

Second order accurate Euler flow solutions for standard airfoil test cases are presented. Second order accuracy is obtained by a defect correction process. Schemes for the computation of the second order defect are considered. In each defect correction cycle, the solution is computed by a nonlinear multigrid iteration, in which collective symmetric gauss-seidel relaxation is used as smoothing procedure. A finite volume Osher discretization is applied. The computational method does not require tuning of parameters. The solutions obtained show a good resolution of all flow phenomena, and are obtained at low computational cost. The rate of convergence is grid-independent.