海水入侵数值模拟的特征块中心差分法  

A Block-centered Finite Difference Method Combined with Characteristic for the Numerical Simulation of Sea Water Intrusion Models

作　　者：王震[1] 谢树森[1] 

机构地区：[1]中国海洋大学数学系

出　　处：《应用数学学报》2006年第4期633-645,共13页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(40276008)资助项目.

摘　　要：本文研究二维海水入侵数值模拟的有限差分法．对关于压力的流动方程本文采用块中心差分法,对关于含盐浓度方程的对流扩散方程采用基于完全二次矩形插值的特征差分法,运用先验估计的理论和技巧得到了最佳阶L^2误差估计的结果．This paper consider the numerical simulation method for two-dimentional sea water intrusion models. This approach is a combination of block-centered finite difference and characteristic finite difference method： the block-centered finite difference scheme is applied to approximate the pressure equations, while the characteristic difference scheme based on fully quadratic rectangular interpolation is applied to approximate the saltwater concentration equations. By using of the priori estimation theory and techniques, the optimal order estimates in L^2-norm are derived for the error in the approximate solutions.

关 键 词：海水入侵 块中心差分法 特征差分法 收敛性 

分 类 号：O241.86[理学—计算数学]