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首页> 外文会议>2011 International Conference on Materials for Renewable Energy Environment >Finite proximate method for two-dimensional diffusion equation
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Finite proximate method for two-dimensional diffusion equation

机译：二维扩散方程的有限近似方法

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The finite proximate solution for two-dimensional diffusion equation in the local unit of curvilinear grid is hypothesized, and the computational region is discrete to deduce the relational expression between center function value and eight points function value around. A finite approximate method with 9 points scheme of the curvilinear grid is proposed to solve the two-dimensional diffusion equation thereby. 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 method has the properties of simple process, high precision and strong adaptability. Compared with FPM (5 points scheme), the method is improved in precision. Then the typical seepage flow field of the bottom for spillway dam is obtained, the computational results are in good agreement with the measured results by electrical analogue method.
机译：假设曲线网格的局部单位中的二维扩散方程的有限近似解，并且计算区域是离散的，以推导中心函数值与周围八点函数值之间的关系表达式。为了解决二维扩散方程，提出了一种曲线网格9点格式的有限近似方法。对具有不规则区域的稳态扩散方程和具有规则区域的非稳态扩散方程的计算值和精确值的比较表明，该方法具有工艺简单，精度高，适应性强的特点。与FPM（5分制）相比，该方法的精度有所提高。得到了溢洪坝坝基的典型渗流场，计算结果与电模拟法测得的结果吻合较好。

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