Multigrid Solvers for Nonaligned Sonic Flows

Achi Brandt, Boris Diskin · SIAM Journal on Scientific Computing · 1999

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.

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