Elliptic Surface Grid Generation on Minimal and Parametrized Surfaces

摘要

An elliptic grid generation method is presented which generates excellentboundary conforming grids in domains in 2D physical space. The method is based on the composition of a algebraic and elliptic transportation. The composite mapping obeys the familiar Poisson grid generation system with control functions specified by the algebraic transformation. New expressions are given for the control functions. Grid orthogonality at the boundary is achieved by modification of the algebraic transformation.