基于Voronoi网格的扩散方程差分格式  

Difference Scheme for Diffusion Equation on Voronoi Meshes

作　　者：余华平[1] 王双虎[1] 

机构地区：[1]北京应用物理与计算数学研究所,北京100088

出　　处：《计算物理》2007年第6期631-636,共6页Chinese Journal of Computational Physics

基　　金：国家重大基础研究基金(2005CB32170X)资助项目

摘　　要：在Voronoi网格上利用一种基于回路积分法的有限体积法构造扩散方程的的差分格式.在这种特殊的网格上离散扩散方程比通常在四边形网格上离散的格式要简单,不会引进角点未知量,提高了对网格边上的流的离散精度,及差分格式整体精度.这种Voronoi网格上的扩散计算也可以与单元中心流体力学计算耦合.数值算例表明这种格式比四边形网格上的格式精度高,且能更好的应对网格扭曲情形.A difference scheme for diffusion equation on Voronoi meshes is constructed using finite volume method. The diffusion discretization scheme is simpler on Voronoi meshes than on quadrilateral meshes. It introduce no cell-node unknown and improves accuracy of the discrete calculation of cell-edge flux as well as accuracy of difference scheme. The diffusion calculation on Voronoi meshes can be coupled with cell- centered hydrodynamics calculations. Computation examples demonstrate that the accuracy on Voronoi meshes is higher than that on quadrilateral meshes and Voronoi meshes adapt well to distortion.

关 键 词：Voronoi网格 扩散方程 差分 

分 类 号：O24[理学—计算数学]