Statistical Error in Particle Simulations of Low Mach Number Flows
Name
HPCES026.pdf
Size
106.04 KB
Format
Adobe PDF
Checksum (MD5)
6e67f03d175f6a6049fd5c94bf057405
Author(s)
Hadjiconstantinou, Nicolas G.
Garcia, Alejandro L.
Date Issued
January 2002
Series/Report no.
High Performance Computation for Engineered Systems (HPCES);
Abstract
We present predictions for the statistical error due to finite sampling in the presence of thermal fluctuations in molecular simulation algorithms. Expressions for the fluid velocity, density and temperature are derived using equilibrium statistical mechanics. The results show that the number of samples needed to adequately resolve the flow-field scales as the inverse square of the Mach number. The theoretical results are verified for a dilute gas using direct Monte Carlo simulations. The agreement between theory and simulation verifies that the use of equilibrium theory is justified.
Subjects
statistical error
molecular simulation algorithms
equilibrium statistical mechanics
thermal fluctuations
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