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Selected Works of Alejandro Garcia
Article
Statistical Error in Particle Simulations of Low Mach Number Flows
Proceedings of the First MIT Conference on Computational Fluid and Solid Mechanics (2001)
  • Alejandro Garcia, San Jose State University
  • N. Hadjiconstantinou, Massachusetts Institute of Technology
Link
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 error,
  • particle,
  • low mach number
Disciplines
Publication Date
2001
Citation Information
Alejandro Garcia and N. Hadjiconstantinou. "Statistical Error in Particle Simulations of Low Mach Number Flows" Proceedings of the First MIT Conference on Computational Fluid and Solid Mechanics (2001)
Available at: http://works.bepress.com/alejandro_garcia1/38/