Multigrid Solvers for Nonaligned Sonic Flows

We investigate an approach to the solution of nonelliptic equations on a rectangular grid. The multigrid algorithms presented here demonstrate the "textbook multigrid efficiency" even in the case that the equation characteristics do not align with the grid. To serve as a model problem, the two-dimensional (2D) and three-dimensional (3D) linearized sonic flow equations have been chosen. Efficient full-multigrid (FMG) solvers for the problems are demonstrated.