摘要
提出求解二维扩散方程的新方法———有限近似解法7点格式,对非规则区域定常扩散方程和规则区域非定常扩散方程的计算与精确解比较,表明这一方法较有限分析法计算简单,计算精度高,并且可以适用于不规则边界区域的计算。最后计算了典型的坝基渗流流场,计算结果与实验结果吻合较好。
A finite approximate method with 7 points scheme is proposed to solve the two-dimension diffusion equation. The comparison of the computational and exact values for both the steady diffusion equation with the irregular region and the unsteady diffusion equation with regular region indicates that the properties of this method are good. The scheme is simpler than finite analytic method, and its precision is higher than that of FAM and FDM. The typical seepage flow field of the bottom for the spillway dam is obtained. The computational results are in good agreement with the measured results by electrical analogue method.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
2005年第5期629-635,共7页
Chinese Journal of Hydrodynamics
关键词
扩散方程
有限近似解
渗流
diffusion equation
finite approximate method
seepage
