多孔介质中两相不可压缩不易混溶渗流问题的特征配置法(英文)

A Collocation Method with Characteristics for Two-phase Incompressible Immiscible Flow in Porous Media

多孔介质中两相不可压缩不易混溶渗流问题是非线性偏微分方程的耦合系统,其中压力方程是椭圆的用配置法逼近,而饱和度方程是对流占优的抛物方程,用特征配置法来逼近,并且证明了数值解的存在唯一性,最后得到了最优的误差估计.

In this article, the collocation scheme is used to approximate the pressure equation and another characteristics collocation scheme to treat concentration equation. Existence and uniqueness of solutions of the algorithm are proved. Optimal order error estimate is demonstrated.