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.
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页码：611 / 624
页数：14
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