Characteristic finite difference method and application for moving boundary value problem of coupled system

被引：0
|
作者：
袁益让 [1 ]
李长峰 [1 ]
杨成顺 [2 ]
韩玉笈 [2 ]
机构：
[1] Institute of Mathematics,Shandong University
[2] Physical Exploration Institute,Shengli Petroleum Administration,Shandong Province
来源：
Applied Mathematics and Mechanics(English Edition) | 2008年 / 05期
基金：
中国国家自然科学基金;
关键词：
multilayer dynamics of fluids; moving boundary values; characteristic finite difference; l~2 error estimates; numerical simulation; oil deposit;
D O I：
暂无
中图分类号：
O241.82 [偏微分方程的数值解法];
学科分类号：
070102 ;
摘要：
The coupled system of multilayer dynamics of fluids in porous media is to describe the history of oil-gas transport and accumulation in basin evolution.It is of great value in rational evaluation of prospecting and exploiting oil-gas resources.The mathematical model can be described as a coupled system of nonlinear partial differential equations with moving boundary values.A kind of characteristic finite difference schemes is put forward,from which optimal order estimates in l~2 norm are derived for the error in the approximate solutions.The research is important both theoretically and practically for the model analysis in the field,the model numerical method and software development.
引用
收藏
页码：611 / 624
页数：14
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