Statistical Error in Particle Simulations of Low Mach Number Flows.

Hadjiconstantinou, N. G. ; Garcia, A. L.

Technical Information Center Oak Ridge Tennessee

关键词: Computerized simulation;    Statistical mechanics;    Sampling;    Algorithms;    Fluctuations;   

RP-ID  :  DE200415006287

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

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 flow field 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.