一种求解对流—弥散方程的数值方法

本文给出一种求解对流一弥散方程的数值模型,在本模型中将对流和弥散作用分开计算。对流问题由可动坐标系中质点的运动决定,弥散问题是在固定坐标系中用有限元素法求解的。通过与有限差分法和有限元素法进行计算比较,证明本模型正确有效。

A Numerical Method for Solving the Convection-Dispertion Equations

In this paper, a numerical model for the convection—dispersion equation has been proposed. In the model the convection—dispersion equation is decomposed into two problems, one involving pure convection, the other The including only dispersion, solution of convection problem is obtained from a moving coordinate system. The solute distribution caused by convection can be calculated accurately as long as the velocity field is known. The dispersion problem is solved by finite element method in a fixed coordinate system. The results obtained from the proposed numerical model are compared with those from finite element and finite difference methods. It is shown that the proposed numerical model is very effective for both dispersion dominated and convection dominated problems.