A contemporary implementation of the direct simulation Monte Carlo method

Both the direct simulation Monte Carlo (or DSMC) method and the molecular dynamics (or MD) method are described by the following paragraph: A computer is used to provide a direct physical simulation of the fluid flow, rather than a numerical solution of the equations that provide the conventional mathematical model of the flow. The gas is represented in the computer by some thousands of model molecules. The velocity components and position coordinates of the simulated molecules are stored in the computer and are modified with time as the molecules are concurrently followed through representative collisions and boundary interactions in simulated physical space.

[1]  Katsuhisa Koura,et al.  Null‐collision technique in the direct‐simulation Monte Carlo method , 1986 .

[2]  Katsuhisa Koura.  Direct simulation of vortex shedding in dilute gas flows past an inclined flat plate , 1990 .

[3]  T. G. Cowling,et al.  The mathematical theory of non-uniform gases , 1939 .

[4]  Michel Mareschal,et al.  Microscopic simulations of complex flows , 1990 .

[5]  E. P. Muntz,et al.  Low-Discrepancy Method for the Boltzmann Equation , 1989 .

[6]  I. Prigogine,et al.  Transport Processes in Statistical Mechanics , 1959 .

[7]  Lyle N. Long,et al.  Cellular automatons applied to gas dynamic problems , 1987 .

[8]  Graeme A. Bird,et al.  Definition of mean free path for real gases , 1983 .

[9]  Eckart Meiburg,et al.  Comparison of the molecular dynamics method and the direct simulation Monte Carlo technique for flows around simple geometries , 1986 .

[10]  K. Nanbu.  Theoretical basis of the direct simulation Monte Carlo method , 1986 .

[11]  D. C. Rapaport.  Vectorized Molecular Dynamics for Systems with Short-Range Interactions , 1990 .

[12]  Mikhail Naumovich Kogan,et al.  Rarefied Gas Dynamics , 1969 .

[13]  Graeme A. Bird,et al.  MONTE-CARLO SIMULATION IN AN ENGINEERING CONTEXT , 1980 .

[14]  G. A. Bird,et al.  Perception of numerical methods in rarefied gasdynamics , 1989 .

[15]  Graeme A. Bird,et al.  Molecular Gas Dynamics , 1976 .

[16]  Graeme A. Bird,et al.  Approach to Translational Equilibrium in a Rigid Sphere Gas , 1963 .