Statistical Error in Particle Simulations of Low Mach Number Flows

dc.contributor.author	Hadjiconstantinou, Nicolas G.
dc.contributor.author	Garcia, Alejandro L.
dc.date.accessioned	2003-12-23T03:19:12Z
dc.date.available	2003-12-23T03:19:12Z
dc.date.issued	2002-01
dc.identifier.uri	http://hdl.handle.net/1721.1/4017
dc.description.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.	en
dc.description.sponsorship	Singapore-MIT Alliance (SMA)	en
dc.format.extent	108581 bytes
dc.format.mimetype	application/pdf
dc.language.iso	en_US
dc.relation.ispartofseries	High Performance Computation for Engineered Systems (HPCES);
dc.subject	statistical error	en
dc.subject	molecular simulation algorithms	en
dc.subject	equilibrium statistical mechanics	en
dc.subject	thermal fluctuations	en
dc.title	Statistical Error in Particle Simulations of Low Mach Number Flows	en
dc.type	Article	en