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

^*Corresponding author for this work

School of Physics

CAS - Academy of Mathematics and System Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	188-196
Number of pages	9
Journal	Heat Transfer - Asian Research
Volume	34
Issue number	3
DOIs	https://doi.org/10.1002/htj.20053
State	Published - May 2005

Keywords

Composite porous media
Fractal structure
Heat equation
Reiterated two-scale probabilistic modeling

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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",

year = "2005",

month = may,

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language = "英语",

volume = "34",

pages = "188--196",

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publisher = "John Wiley \& Sons Inc.",

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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

Abstract

Keywords

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