Lattice-based walks and the Monte Carlo method for addressing mass, thermal and elasticity problems | NOVA. The University of Newcastle's Digital Repository

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/806867

Title: Lattice-based walks and the Monte Carlo method for addressing mass, thermal and elasticity problems
Author/Creator: Belova, I. V.; Murch, G. E.; Fiedler, T; Öchsner, A.
Institution: The University of Newcastle. Faculty of Engineering & Built Environment, School of Engineering
Description: In this paper, we review the recent developed method based around lattice-based random walks and the Monte Carlo method. This method, which is now called the Lattice Monte Carlo method, permits complex phenomenological problems in diffusion, thermal conductivity and elasticity to be addressed. It is shown how the effective mass diffusivity, thermal diffusivity/thermal conductivity and the bulk modulus in composites can be calculated and also how concentration profiles and temperature profiles can be determined in situations where the diffusivity depends on position and concentration and the thermal conductivity depends on position and temperature respectively.
Relation: Diffusion and Defect Data: Pt A. Defect and Diffusion Forum Vol. 283-286, p. 13-23
Publisher Link: http://dx.doi.org/10.4028/www.scientific.net/DDF.283-286.13
Date: 2009
Publisher: Trans Tech Publications
Keyword(s): Monte Carlo; diffusion; thermal conductivity; bulk modulus
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/806867
Identifier: ISSN:1012-0386

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