Statistical error in particle simulations of hydrodynamic phenomena
نویسندگان
چکیده
منابع مشابه
Statistical error in particle simulations of hydrodynamic phenomena
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 ...
متن کاملStatistical Error in Particle Simulations of Low Mach Number Flows
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 flowfield scales as the inverse square of the Mach number. ...
متن کاملTowards hydrodynamic simulations of wet particle systems
This paper presents the rheology of weakly wetted granular materials in the slow frictional regime, using Discrete Element Method (DEM) simulations. In a split-bottom ring shear cell geometry a slow, quasi-static deformation leads to wide shear bands away from the walls. Dry non-cohesive and cohesive materials are compared in order to understand the effect of liquid bridge capillary forces on t...
متن کاملError Analysis and Simulations of Complex Phenomena
6 Large-scale computer-based simulations are being used increasingly to predict the behavior of complex systems. Prime examples include the weather, global climate change, the performance of nuclear weapons, the flow through an oil reservoir, and the performance of advanced aircraft. Simulations invariably involve theory, experimental data, and numerical modeling, all with their attendant error...
متن کاملStatistical 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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2003
ISSN: 0021-9991
DOI: 10.1016/s0021-9991(03)00099-8