三维多组分可压缩驱动问题的迎风差分格式

Second Order Upwind Difference Scheme for Three Dimensional Multicomponent Displacement Problem

提出三维多组分驱动问题的二阶迎风差分格式 ,并应用变分形式、能量方法、微分方程先验估计的理论和技巧 ,得到了最佳阶l2 误差估计 .

For three-dimensional multicomponent displacement problem a kind of upwind difference scheme is put forward thick and thin grids are used to form a complete some techniques,such as calculus of variations,energy method and the prior estimates and techniques are adopted.Optimal order estimates in l2 norm are derived to determine the error in the approximate solution.This method is successfully used in seawater intrusion numerical simulation and oil-gas resource estimation.