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

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. © 2005 Wiley Periodicals, Inc. Heat Trans Asian Res, 34(3): 188–196, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/htj.20053