Computer simulation of conduction in heterogeneous materials: Application of wavelet transformations

Chemical Engineering Science

Volumn 59, Issue 20, 2004, Pages 4291-4303

  Sahimi, Muhammad ^a   Heidarinasab, Amir ^b   Dabir, Bahrain ^b  

^a University of Southern California ^*  (United States)

^b AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Conduction; Finite volume method; Grid coarsening; Heterogeneous materials; Wavelet transformations

Indexed keywords

COAGULATION; COMPUTER SIMULATION; CRYSTAL STRUCTURE; ELECTRIC CONDUCTANCE; PROBLEM SOLVING; SOLID SOLUTIONS; WAVELET TRANSFORMS;

COMPUTATIONAL GRIDS; GRID STRUCTURES; HETEROGENEOUS MATERIALS; LOCAL CONDUCTANCES;

SOLID STATE PHYSICS;

CONDUCTION;

EID: 4644290125     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2004.06.019     Document Type: Article

References (29)

1. Batrouni, G.G., Hansen, A., Nelkin, M., 1986. Fourier acceleration of relaxation processes in disordered systems. Physical Review Letters 57, 1336.
2. van den Berg, J.C. (Ed.), 1999. Wavelets in Physics. Cambridge University Press, London.
3. Carslaw, H.C., Jaeger, J.C., 1959. Conduction of Heat in Solids, second. Oxford University Press, London.
4. Chui, C.K. (Ed.), 1992. Wavelet Analysis and its Applications. Academic Press, San Diego.
5. Daubechies, I., 1992. Ten Lectures on Wavelets, Society for Industrial and Applied Mathematics, Philadelphia.
6. Derrida, B., Vannimenus, J., 1982, A transfer matrix approach to random resistor networks. Journal of Physics A 15, L557.
7. Ebrahimi, F., Sahimi, M., 2002. Multiresolution wavelet coarsening and analysis of transport in heterogeneous media. Physica A 316, 160.
8. Ebrahimi, F., Sahimi, M., 2004. Multiresolution wavelet scale up of unstable miscible displacements in flow through heterogeneous porous media. Transport in Porous Media, in press.
9. Fogelholm, R., 1980. The conductivity of large percolation network samples. Journal of Physics C 13, L571.
10. Frank, D.J., Lobb, C.J., 1988. Highly efficient algorithm for percolative transport studies in two dimensions. Physical Review B 37, 302.
11. Gingold, D.B., Lobb, C.J., 1990. Percolative conduction in three dimensions. Physics Review B 42, 8220.
12. Heidarinasab, A., Dabir, B., Sahimi, M., 2004. Multiresolution wavelet-based simulation of transport and photochemical reactions in the atmosphere. Atmospheric Environment, in press.
13. Kirkpatrick, S., 1973. Percolation and conduction. Reviews of Modern Physics 45, 574.
14. Knackstedt, M.A., Sheppard, A.P., Pinczewski, W.V., 1998. Simulation of mercury porosimetry on correlated grids: evidence for extended correlated heterogeneity at the pore scale in rocks. Physics Review E 58. R6923.
15. Knackstedt, M.A., Sheppard, A.P., Sahimi, M., 2001. Pore network modelling of two-phase flow in porous rock: the effect of correlated heterogeneity. Advances in Water Resources 24, 257.
16. Mallat, S., 1989. A theory for multiresolution signal decomposition the wavelet representation. IEEE Transactions on Pattern Analysis and Machine Intelligence 11, 674.
17. Mehrabi, A.R., Sahimi, M., 1997. Coarsening of heterogeneous media: application of wavelets. Physical Review Letters 79, 4385.
18. Motard, R.L., Joseph, B. (Ed.), 1994. Wavelet Applications in Chemical Engineering, KLuwer, Boston.
19. Normand, J.-M., Herrmann, H.J., 1990. Precise numerical determination of the superconducting exponent of percolation in three dimensions. International Journal of Modern Physics C 1, 207.
20. Pinnavaia, T.J., Thrope, M.F. (Ed.), 1995. Access in Nanoporous Materials. Plenum, New York.
21. Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P., 1992. Numerical Recipes, second ed. Cambridge University Press, London.
22. Sahimi, M., 1993. Flow phenomena in rocks: from continuum models, to fractals percolation, cellular automata, and simulated annealing. Reviews of Modem Physics 65, 1393.
23. Sahimi, M., 1995. Flow and Transport in Porous Media and Fractured Rook. VCH, Weinheim, Germany.
24. Sahimi, M., 1998. Non-linear and non-local transport in heterogeneous media: from long-range correlated percolation to fracture and materials breakdown. Physics Reports 306, 213.
25. Sahimi, M., 2003. Heterogeneous Materials, vols. I and II. Springer, New York.
26. Spanos, P.D., Zeldin, B.A., 1994. Galerkin sampling method for stochastic mechanics problems. Journal of Engineering Mechanics ASCE 120, 1091.
27. Spanos, P.D., Zeldin, B.A., 1996. Random field representation and synthesis using wavelet basis. Journal of Applied Mechanics 63, 946.
28. Spanos, P.D., Zeldin, B.A., 1998. Random field discretization in stochastic finite elements. Journal of Applied Mechanics 65, 320.
29. Torquato, S., 2002. Random Heterogeneous Materials. Springer, New York.