Technical Report 21, c4e-Preprint Series, Cambridge

Conservative method for the reduction of the number of particles in the Monte Carlo simulation method for kinetic equations

ref: Technical Report 21, c4e-Preprint Series, Cambridge

Associated Theme: Numerics

Abstract

A method for the reduction of the number of particles in the weighted Monte Carlo method for kinetic equations is described. The method randomly redistribute statistical weights over the particles ensemble in such a way that the weight of some particles become 0, i.e., the particles are cancelled, while all physically relevant macroscopic moments (e.g., mass, energy, momentum) of the ensemble do not change. The method has been applied for the spatially uniform relaxation of the gas of hard spheres.

Material from this preprint has been published in: Journal of Computational Physics 203, 371-378, (2005)

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