摘要
运用待定系数方法,将一维纯对流下的HAUC2 格式推广应用到一维对流扩散方程的数值模拟中.数值试验结果表明,新推导的格式具有数值耗散和数值频散都比较小的优点.与其他格式计算结果比较,该格式能较好地模拟对流扩散波的传播过程,且具有节点少的优点,可用于实际计算.
By using the undetermined coefficient method, a new scheme is derived successfully from the HAUC2 scheme which is applied well under the case of one-dimensional pure convection to simulate one-dimensional convection-diffusion equation. Numerical test shows that the scheme developed has the merits of both small numerical dissipation and small numerical dispersion, and can repeat the propagation of convection-diffusion wave precisely.
出处
《武汉大学学报（工学版）》
CAS
CSCD
北大核心
2005年第2期10-14,共5页
Engineering Journal of Wuhan University
基金
国家重大基础研究计划(973)资助项目(2003CB15203).
关键词
一维对流扩散方程
待定系数法
高精度格式
HAUC2格式
分步离散
one-dimensional convection-diffusion equation
undetermined coefficient method
high accuracy scheme
HAUC2 scheme
stepwise discretization
