BLOCK MULTIGRID IMPLICIT SOLUTION OF THE EULER EQUATIONS OF COMPRESSIBLE FLUID-FLOW

A multigrid diagonal implicit algorithm has been developed to solve the Euler equations of inviscid compressible flow on block structured grids. Two modes of advancing the multigrid cycle have been examined with respect to convergence rates, accuracy, and efficiency. The algorithm has been designed to run on parallel computers. Results are computed for transonic flows past airfoils and include pressure distributions to verify the accuracy of the scheme and convergence histories to demonstrate the efficiency of the method. Efficiencies that were obtained using a modest number of processors in parallel are presented and discussed.