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Transport Phenomena in Thermal Engineering. Volume 2

ISBN:
1-56700-015-0 (Print)

TREATMENT OF INITIAL AND BOUNDARY CONDITIONS IN MONTE CARLO SIMULATION OF DIFFUSION

Ji Zhang
University of New Brunswick, P.O. Box 4400, Fredericton, NB. E3B 5A3, CANADA

Esam M. A. Hussein
Laboratory for Threat Material Detection, Department of Mechanical Engineering, University of New Brunswick, Fredericton, New Brunswick, Canada E3B 5A3

Abstract

This paper introduces methods for incorporating the effect of initial and boundary conditions into the Monte Carlo simulation of diffusion problems. Conservation laws are taken into account in the initial generation of Monte Carlo particles. The concept of symmetrical/anti-symmetrical distribution of particles around a boundary is utilized to simulate the effect of zero-gradient/zero-quantity boundary conditions, respectively. Boundary effect equations are derived to deal with more complex boundary conditions.