Direct simulation Monte Carlo

Direct simulation Monte Carlo (DSMC) method uses probabilistic Monte Carlo simulation to solve the Boltzmann equation for finite Knudsen number fluid flows. The DSMC method was proposed by Graeme Bird, emeritus professor of aeronautics, University of Sydney. DSMC is a numerical method for modeling rarefied gas flows, in which the mean free path of a molecule is of the same order (or greater) than a representative physical length scale (i.e. the Knudsen number Kn is greater than 1). In supersonic and hypersonic flows rarefaction is characterized by Tsien's parameter, which is equivalent to the product of Knudsen number and Mach number (KnM) or M/Re, where Re is the Reynolds number. In these rarefied flows, the Navier-Stokes equations can be inaccurate. The DSMC method has been extended to m

Comment
enDirect simulation Monte Carlo (DSMC) method uses probabilistic Monte Carlo simulation to solve the Boltzmann equation for finite Knudsen number fluid flows. The DSMC method was proposed by Graeme Bird, emeritus professor of aeronautics, University of Sydney. DSMC is a numerical method for modeling rarefied gas flows, in which the mean free path of a molecule is of the same order (or greater) than a representative physical length scale (i.e. the Knudsen number Kn is greater than 1). In supersonic and hypersonic flows rarefaction is characterized by Tsien's parameter, which is equivalent to the product of Knudsen number and Mach number (KnM) or M/Re, where Re is the Reynolds number. In these rarefied flows, the Navier-Stokes equations can be inaccurate. The DSMC method has been extended to m
Has abstract
enDirect simulation Monte Carlo (DSMC) method uses probabilistic Monte Carlo simulation to solve the Boltzmann equation for finite Knudsen number fluid flows. The DSMC method was proposed by Graeme Bird, emeritus professor of aeronautics, University of Sydney. DSMC is a numerical method for modeling rarefied gas flows, in which the mean free path of a molecule is of the same order (or greater) than a representative physical length scale (i.e. the Knudsen number Kn is greater than 1). In supersonic and hypersonic flows rarefaction is characterized by Tsien's parameter, which is equivalent to the product of Knudsen number and Mach number (KnM) or M/Re, where Re is the Reynolds number. In these rarefied flows, the Navier-Stokes equations can be inaccurate. The DSMC method has been extended to model continuum flows (Kn < 1) and the results can be compared with Navier Stokes solutions. The DSMC method models fluid flows using simulation molecules which represent a large number of real molecules in a probabilistic simulation to solve the Boltzmann equation. Molecules are moved through a simulation of physical space in a realistic manner that is directly coupled to physical time such that unsteady flow characteristics can be modeled. Intermolecular collisions and molecule-surface collisions are calculated using probabilistic, phenomenological models. Common molecular models include the hard sphere model, the variable hard sphere (VHS) model, and the variable soft sphere (VSS) model. The fundamental assumption of the DSMC method is that the molecular movement and collision phases can be decoupled over time periods that are smaller than the mean collision time. Various collision models are presented in. Currently, the DSMC method has been applied to the solution of flows ranging from estimation of the Space Shuttle re-entry aerodynamics to the modeling of microelectromechanical systems (MEMS).
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Direct simulation Monte Carlo
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homepage.univie.ac.at/franz.vesely/cp_tut/nol2h/new/c8hd_s4dsm.html
www.simba.us/misc/dsmc/dsmca.html
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Boltzmann equation
Category:Monte Carlo methods
Category:Statistical mechanics
Fluid
Knudsen number
Mean free path
Microelectromechanical systems
Molecule
Monte Carlo method
Navier-Stokes equations
Phenomenological model
Simulation
Space Shuttle
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44JR7
Direct simulation Monte Carlo
Direct simulation Monte Carlo法
m.08g66
Q4382753
Прямое Монте-Карло моделирование
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Category:Monte Carlo methods
Category:Statistical mechanics
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