摘要
采用一阶迎风格式分别对一维线性对流扩散方程和非线性对流扩散方程进行了求解,检验了一阶迎风格式用于求解一维线性对流扩散方程和一维非线性对流扩散方程的适用性.多个计算算例的结果表明:一阶迎风差分格式用于求解线性对流扩散方程的结果不甚理想,但用于求解非线性对流扩散方程时能获得相当精度.工程计算中,该格式可用于求解水流运动方程,但不宜用于求解被水流输移的物质对流扩散方程.
Through the numerical computation and comparison with the exact solutions of one dimensional linear and nonlinear convection diffusion equations, simulated accuracy by the first order conservative upwind difference scheme was analyzed in detail. It shows that the first order upwind difference scheme has high accuracy in simulating nonlinear convection diffusion equation, although it could not repeat the exact solution of linear convection diffusion equation well. In engineering application, this scheme can be used to compute momentum equation of flow and is not suitable to simulate material mixing process driven by the flow.
出处
《武汉大学学报（工学版）》
CAS
CSCD
北大核心
2003年第5期1-4,8,共5页
Engineering Journal of Wuhan University
基金
中国欧盟国际合作研究ANFAS项目资助
国家自然科学基金项目资助(50279035).
关键词
迎风差分格式
对流扩散方程
BURGERS方程
计算水动力学
<> upwind difference scheme
convection diffusion equation
Burgers equation
computational fluid dynamics
