Statistical error in particle simulations of hydrodynamic phenomena
نویسندگان
چکیده
We present predictions for the statistical error due to finite sampling in the presence of thermal fluctuations in molecular simulation algorithms. Specifically, we establish how these errors depend on Mach number, Knudsen number, number of particles, etc. 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. 2003 Elsevier Science B.V. All rights reserved.
منابع مشابه
Statistical Error in Particle Simulations of Fluid Flow and Heat Transfer
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 stre...
متن کاملNumerical investigation of free surface flood wave and solitary wave using incompressible SPH method
Simulation of free surface flow and sudden wave profile are recognized as the most challenging problem in computational hydraulics. Several Eulerian/Lagrangian approaches and models can be implemented for simulating such phenomena in which the smoothed particle hydrodynamics method (SPH) is categorized as a proper candidate. The incompressible SPH (ISPH) method hires a precise incompressible hy...
متن کاملCalculation Submarine Hydrodynamic Coefficient by Hybrid Method
Increase in the accuracy of hydrodynamic coefficient calculation cause to increase in the prediction of vessel maneuvering ability. Different methods of determining hydrodynamic coefficients will be effective in determining the accuracy of coefficients, especially in numerical simulation. In this paper, we do planar motion mechanism (PMM) test, oblique towing test, and rotating arm test simulat...
متن کاملGlobally aligned states and hydrodynamic traffic jams in confined suspensions of active asymmetric particles.
Strongly confined active liquids are subject to unique hydrodynamic interactions due to momentum screening and lubricated friction by the confining walls. Using numerical simulations, we demonstrate that two-dimensional dilute suspensions of fore-aft asymmetric polar swimmers in a Hele-Shaw geometry can exhibit a rich variety of novel phase behaviors depending on particle shape, including coher...
متن کاملNumerical Simulation of Granular Column Collapses with Pressure-Dependent Viscoplastic Model using the Smoothed Particle Hydrodynamic Method
This paper presents a numerical analysis of granular column collapse phenomenon using a two-dimensional smoothed particle hydrodynamics model and a local constitutive law proposed by Jop et al. This constitutive law, which is based on the viscoplastic behaviour of dense granular material flows, is characterized by an apparent viscosity depending both on the local strain rate and the local press...
متن کامل