引用本文:陆俊卿,张小峰.一种计算二维对流扩散方程的数值格式[J].水利水运工程学报,2005,(1):38-43
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一种计算二维对流扩散方程的数值格式
陆俊卿,张小峰
武汉大学,水资源与水电工程科学国家重点实验室,湖北,武汉,430072
摘要:
运用待定系数法,建立了求解二维对流扩散方程的HAUC2格式.数值试验结果表明,该格式具有数值耗散和数值频散较小、节点少、便于应用等特点,且对求解对流扩散方程的对流占优和扩散占优的流动均有较好的适应性.
关键词:  对流扩散方程 数值格式 二维 求解 耗散 待定系数法 数值试验 频散 流动
DOI:
分类号:TV131 O241.82
基金项目:科技部“973计划”、世界银行资助ANFAS项目
A numerical scheme for two dimensional convection-diffusion equation
LU Jun-qing,ZHANG Xiao-feng
Abstract:
By using the undetermined coefficient method, a new scheme is derived from the HAUC2 scheme to simulate the two dimensional convection-diffusion equation. Numerical calculation results show that the developed scheme has many advantages such as having small dissipation and dispersion, needing little nodes, being put into practice easily, and being well suitable for both convection-dominant flow and diffusion-dominant flow.
Key words:  two dimensional convection-diffusion equation,undetermined coefficient method,HAUC2 scheme
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