a NASA Langley Research Center, MS128, Hampton, VA 23665, U.S.A.
b Vigyan Inc., Hampton, VA, U.S.A.
Abstract:
A multigrid acceleration technique has been developed to solve the three-dimensional Navier-Stokes equations efficiently. An explicit multistage Runge-Kutta type-of time-stepping scheme is used as the basic algorithm in conjunction with the multigrid scheme. A grid-refinement study has been conducted to obtain grid converged solutions for transonic flow over a finite wing. Present solutions indicate that the number of multigrid cycles required to achieve a given level of convergence does not increase with the number of mesh points employed, making it a very attractive scheme for fine meshes.