Grid cell volume control with an adaptive grid generator

摘要

A technique for generating solution adaptive grids controlling cell volume is presented. The grid control functions of the popular Poisson grid generators are defined to control cell size. An analytic derivation showing the relationship of the grid control functions and the cell volume is presented, and several examples are given illustrating the idea. Only one function must be prescribed to control cell size when this technique is implemented in a Poisson grid generator.