二维对流—扩散方程的控制体有限元法数值模拟

A CVFEM FOR 2-D CONVECTION-DIFFUSION EQUATION

推导了二维对流—扩散方程的控制体有限元公式，其主要特点是所得离散化方程适合于逐点迭代法及共轭梯度法进行求解，使得该方法更适合于求解复杂的几何域及节省更多的计算机内存。通过几个算例表明。

The formulation of a control-volume-based on finite-element method (CVFEM) for two-dimensional convection-diffusion equaitons is presented.It has a main advantage in capability of the obtained discretization equation to be solved with point-by-point and conjugate gradient iteration method,so that it is more suitable to complex geometrical fields and can save much more computer memory.Some numerical examples proved that the accuracy to any high Peclet number is quite encouraging.