Article
Statistical Error in Particle Simulations of Hydrodynamic Phenomena
Journal of Computational Physics
(2003)
Abstract
We present predictions for the statistical error due to finite sampling in the presence of thermal fluctuations in molecular simulation algorithms. The expressions are derived using equilibrium statistical mechanics. The results show that the number of samples needed to adequately resolve the flowfield scales as the inverse square of the Mach number. Agreement of the theory with direct Monte Carlo simulations shows that the use of equilibrium theory is justified.
Keywords
- statistical,
- particle,
- phenomena
Disciplines
Publication Date
2003
Publisher Statement
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Citation Information
Alejandro Garcia, N. Hadjiconstantinou, M. Bazant and G. He. "Statistical Error in Particle Simulations of Hydrodynamic Phenomena" Journal of Computational Physics Vol. 187 (2003) Available at: http://works.bepress.com/alejandro_garcia1/29/