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Stochastic theory of direct simulation Monte Carlo method
Theoretical Chemistry Accounts, 2009A treatment of direct simulation Monte Carlo method as a Markov process with a master equation is given and the corresponding master equation is derived. A hierarchy of equations for the reduced probability distributions is derived from the master equation.
Hasan Karabulut +1 more
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False collisions in the direct simulation Monte Carlo method
The Physics of Fluids, 1988In the direct simulation Monte Carlo method the molecular collision in a cell is calculated regardless of molecule positions. It is indicated that disregard of the positions causes false collisions, which never occur in the molecular dynamics method. By calculating a radial flow in cones with various apex angles, it is shown that the distortion of the ...
K. Nanbu, S. Igarashi, Y. Watanabe
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Surface recombination in the direct simulation Monte Carlo method
Physics of Fluids, 2018This work is aimed at the development of surface chemistry models for the Direct Simulation Monte Carlo (DSMC) method applicable to non-equilibrium high-temperature flows about reentry vehicles. Probabilities of adsorption and Eley-Rideal recombination dependent on individual properties of each particular molecule and frequencies of desorption and ...
Alexandra N. Molchanova +2 more
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On the basic concepts of the direct simulation Monte Carlo method
Physics of Fluids, 2019In this paper, the basic ideas underlying the Direct Simulation Monte Carlo (DSMC) method are examined and a novel nonhomogeneous N-particle kinetic equation describing the randomized mathematical model of DSMC is derived. It is shown that different collision-partner selection schemes, including No-Time-Counter (NTC) and Bernoulli-trials schemes, are ...
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A parallel implementation of the direct simulation Monte Carlo method
Computer Methods in Applied Mechanics and Engineering, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mathematical models of water nucleation process for the Direct Simulation Monte Carlo method
Applied Mathematics and Computation, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nickolay Y. Bykov, Yuri E. Gorbachev
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A direct simulation Monte-Carlo method for cluster coagulation
Journal of Computational Physics, 1992Abstract A method for analyzing cluster coagulation is presented which relies on a Monte-Carlo analysis of individual particles as they interact and form clusters from a homogeneous, monodisperse medium. Four case studies are shown, three of which compare the results of the code to the known analytic solutions of the Smoluchowski equation and the ...
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New ionization model for the direct simulation Monte Carlo method
31st Thermophysics Conference, 1996The modeling of nonequilibrium ionizing reactions within the framework of the direct simulation Monte Carlo method of Bird is examined. A new Maximum Entropy method is presented for the case of ionization in flowfields in which significant thermodynamic nonequilibrium effects are present.
Michael Gallis, John Harvey
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Direct simulation Monte Carlo method of deposition processes
2008Modifications had been done on the basic DSMC2.fortran program developed by G. A. Bird to approximate the initial deposition profile characteristic of a physical vapor deposition process, whereby little or no surface chemical reaction occurs. In this report, initial deposition growth of PVD Aluminum is studied using the number flux distribution along ...
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A threshold line dissociation model for the direct simulation Monte Carlo method
Physics of Fluids, 1996A new dissociation model for the direct simulation Monte Carlo (DSMC) method is formulated using the threshold line concept. This model considers in some detail the coupling between the vibrational energy distribution of molecules in a gas and the rate of dissociation.
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