一种新的混合有限体积元法求解一维多孔介质问题

A New Mixed Finite Volume Element Method for Solving One-Dimensional Porous Medium Problems

针对一维多孔介质问题用标准混合有限体积元法求解时会出现数值解波阵面不能向前传播的现象,提出一种新的混合有限体积元法求解退化问题,其中流变量仅包含原始变量对空间变量的导数.结果表明,该方法可避免数值解波阵面不能向前传播的现象,并能很好地捕捉数值解界面.数值实验验证了该方法的有效性。

For the one-dimensional porous medium problem,wave front of the numerical solu tion could not propagate forward when the standard mixed finite volume element method was used to solve them,we proposed a new mixed finite volume element method for solving the degradation problem,in which the flux variable only included the derivative of the original variable to spacial variable. The results show that the method can avoid the phenomenon that wave front o f the numerical solution can not propagate forward,and can capture the interface of numerical solution well. The validity of the method is verified by numerical experiments.