| A parallel multigrid method is developed for solving two-dimensional inviscid compressible flows on body-fitted multi-block mesh. The method utilizes a Godunov-type up-winding scheme, exact and approximate Riemann solvers and limited reconstruction to achieve higher-order spatial accuracy. The computation is carried out on a quadrilateral grid that is divided into blocks to facilitate scalable performance on parallel computers. A Full Approximation Storage multigrid scheme is employed to accelerate the convergence of an explicit multistage time integration scheme. Several example cases, including the flow about NASA rotor 67, are used to validate the parallel algorithm and to investigate its convergence and parallel performance. The effectiveness of the multigrid method is demonstrated and good convergence acceleration is obtained, particularly for problems of increasing complexity. The parallel efficiency of the method is found to be dependant on the problem size. The potential of the algorithm for solving large scale and three-dimensional problems is indicated. |
