Three-dimensional grid generation using poisson equations

摘要

A method for constructing a boundary-fitted grid system for arbitrary three-dimensional (3-D) configurations is presented. The grid generation procedure is formulated through the Poison equations. A feature of the scheme is that grid lines in the grid system are smothly interconnected between the boundary co-ordinates. The control of the grid distributions in the interior of the system has implemented by the forcing functions appearing in the Poisson equations and by the boundary coordinates. Reasonable cell sizes and shapes are obtained even for extreme boundary shapes which normally tend to cause poorly controlled grid distributions.