A reiterated two-scale probabilistic modeling and numerical simulation for heat equation in a fractal porous media

Jianlan Luo; Liqun Cao

doi:10.1002/htj.20053

A reiterated two-scale probabilistic modeling and numerical simulation for heat equation in a fractal porous media

Jianlan Luo^*
, Liqun Cao

^*此作品的通讯作者

物理学院

CAS - Academy of Mathematics and System Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

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.

源语言	英语
页（从-至）	188-196
页数	9
期刊	Heat Transfer - Asian Research
卷	34
期	3
DOI	https://doi.org/10.1002/htj.20053
出版状态	已出版 - 5月 2005

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10.1002/htj.20053

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title = "A reiterated two-scale probabilistic modeling and numerical simulation for heat equation in a fractal porous media",

abstract = "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.",

keywords = "Composite porous media, Fractal structure, Heat equation, Reiterated two-scale probabilistic modeling",

author = "Jianlan Luo and Liqun Cao",

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AU - Luo, Jianlan

AU - Cao, Liqun

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N2 - 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.

AB - 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.

KW - Composite porous media

KW - Fractal structure

KW - Heat equation

KW - Reiterated two-scale probabilistic modeling

UR - https://www.scopus.com/pages/publications/18844440240

U2 - 10.1002/htj.20053

DO - 10.1002/htj.20053

M3 - 文章

AN - SCOPUS:18844440240

SN - 1099-2871

VL - 34

SP - 188

EP - 196

JO - Heat Transfer - Asian Research

JF - Heat Transfer - Asian Research

IS - 3

ER -

A reiterated two-scale probabilistic modeling and numerical simulation for heat equation in a fractal porous media

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