Application of a single-equation MG-FAS solver to elliptic grid generation equations (subgrid and supergrid coefficient generation)

摘要

A single-equation MG-FAS solver is applied to elliptic grid generation equations obtained from variational principle and to problems of fluid dynamics and electromagnetics on these grids. The problem of automatic generation of subgrid coefficients, given the user defined discretized problem on a defining grid, is addressed in a novel and clear way which has some advantages. The same idea is applied to supergrid generation of the elliptic grid generation equations, which can result in substantial arithmetic savings for solution adaptive grid generation in 3D.