A multigrid procedure for Cartesian ghost-cell methods
This paper proposes a multigrid technique for Cartesian grid flow solvers. A recently developed ghost body-cell method for inviscid flows is combined with a nested-level local refinement procedure, which employs multigrid to accelerate convergence to steady state. Different from standard multigrid applications for body-fitted grids, a fictitious residual needs to be defined in the ghost cells to perform a correct residual collection and thus to avoid possible stalling of the multigrid procedure. The efficiency of the proposed local refinement multigrid Cartesian method is demonstrated for the case of the inviscid subsonic flow past a circular body. Copyright (c) 2008 John Wiley & Sons, Ltd.
multigrid inviscid flow ghost cells residual collection cartesian methods boundary conditions