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Statistical Error in Particle Simulations of Fluid Flow and Heat Transfer

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dc.creator Hadjiconstantinou, Nicolas G.
dc.creator Garcia, Alejandro L.
dc.creator Bazant, Martin Z.
dc.creator He, Gang
dc.date 2003-11-19T20:56:32Z
dc.date 2003-11-19T20:56:32Z
dc.date 2003-01
dc.date.accessioned 2013-10-09T02:32:08Z
dc.date.available 2013-10-09T02:32:08Z
dc.date.issued 2013-10-09
dc.identifier http://hdl.handle.net/1721.1/3708
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/1721
dc.description We present predictions for the statistical error due to finite sampling in the presence of thermal fluctuations in molecular simulation algorithms. Specifically, we present predictions for the error dependence on hydrodynamic parameters and the number of samples taken. Expressions for the common hydrodynamic variables of interest such as flow velocity, temperature, density, pressure, shear stress and heat flux are derived using equilibrium statistical mechanics. Both volume-averaged and surface-averaged quantities are considered. Comparisons between theory and computations using direct simulation Monte Carlo for dilute gases, and molecular dynamics for dense fluids, show that the use of equilibrium theory provides accurate results.
dc.description Singapore-MIT Alliance (SMA)
dc.format 158385 bytes
dc.format application/pdf
dc.language en_US
dc.relation High Performance Computation for Engineered Systems (HPCES);
dc.subject particle simulations
dc.subject fluid flow
dc.subject heat transfer
dc.subject equilibrium statistical mechanics
dc.subject hydrodynamic parameters
dc.title Statistical Error in Particle Simulations of Fluid Flow and Heat Transfer
dc.type Article


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