A Reiterated Two-Scale Probabilistic Modeling and Numerical Simulation for Heat Equation in a Fractal Porous Media

被引:1
|
作者
Luo Jianlan [1 ]
Cao Liqun [2 ]
机构
[1] Beijing Univ Aeronaut & Astronaut, Dept Appl Phys, Beijing 100083, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
来源
HEAT TRANSFER-ASIAN RESEARCH | 2005年 / 34卷 / 03期
基金
中国国家自然科学基金;
关键词
heat equation; fractal structure; composite porous media; reiterated two-scale probabilistic modeling;
D O I
10.1002/htj.20053
中图分类号
O414.1 [热力学];
学科分类号
摘要
In this paper, we shall discuss the steady heat equation in fractal structure of a composite porous media. A reiterated two-scale asymptotic method for a deterministic problem with many different length scales is given. For a stationary random structure of a composite porous media, a reiterated two-scale probabilistic modeling is presented. Finally, some numerical results will be reported. (C) 2005 Wiley Periodicals, Inc.
引用
收藏
页码:188 / 196
页数:9
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