Direct Simulation Monte Carlo: Recent Advances and Applications

▪ Abstract The principles of and procedures for implementing direct simulation Monte Carlo (DSMC) are described. Guidelines to inherent and external errors common in DSMC applications are provided....

[1]  Reinhard Illner,et al.  A convergence proof for Nanbu's simulation method for the full Boltzmann equation , 1989 .

[2]  Joel Saltz,et al.  Parallel Monte Carlo simulation of three-dimensional flow over a flat plate , 1995 .

[3]  J. Broadwell,et al.  Study of rarefied shear flow by the discrete velocity method , 1964, Journal of Fluid Mechanics.

[4]  Timothy J. Bartel,et al.  Direct simulation Monte Carlo (DSMC) of rarefied gas flow during etching of large diameter (300-mm) wafers , 1996 .

[5]  D. Burnett.  The Distribution of Molecular Velocities and the Mean Motion in a Non-Uniform Gas , 1936 .

[6]  J. Mcdonald,et al.  A collision-selection rule for a particle simulation method suited to vector computers , 1990 .

[7]  Morris,et al.  Slip length in a dilute gas. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[8]  G. Pham-Van-diep,et al.  Nonequilibrium Molecular Motion in a Hypersonic Shock Wave , 1989, Science.

[9]  Daniel A. Erwin,et al.  Nonequilibrium gas flows. I: A detailed validation of Monte Carlo direct simulation for monatomic gases , 1991 .

[10]  Simulation images from a low-pressure chlorine plasma reactor using DSMC , 1996 .

[11]  Hassan Hassan,et al.  Role of Boundary Conditions in Monte Carlo Simulation of MEMS Devices , 1997 .

[12]  Lyle N. Long,et al.  Direct Simulation Monte Carlo (DSMC) on the Connection Machine , 1992 .

[13]  Klavs F. Jensen,et al.  Analysis of Transition Regime Flows in Low Pressure Chemical Vapor Deposition Reactors Using the Direct Simulation Monte Carlo Method , 1992 .

[14]  T. Bartel,et al.  Experimental validation of a direct simulation by Monte Carlo molecular gas flow model , 1995 .

[15]  Frank S. Milos,et al.  Simulated rarefied entry of the Galileo probe into the atmosphere of Jupiter , 1994 .

[16]  G. Emanuel,et al.  Perspective on hypersonic nonequilibrium flow , 1995 .

[17]  P. Bhatnagar,et al.  A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems , 1954 .

[18]  H. Grad.  On the kinetic theory of rarefied gases , 1949 .

[19]  S M Yen,et al.  NUMERICAL SOLUTION OF THE NONLINEAR BOLTZMANN EQUATION FOR NONEQUILIBRIUM GAS FLOW PROBLEMS , 1984 .

[20]  Timothy Bartel,et al.  DSMC simulation of nozzle expansion flow fields , 1994 .

[21]  E. Muntz,et al.  Rarefied Gas Dynamics , 1989 .

[22]  David B. Graves,et al.  Modeling and simulation of magnetically confined low-pressure plasmas in two dimensions , 1991 .

[23]  D Hash,et al.  A hybrid DSMC/Navier-Stokes solver , 1995 .

[24]  K. Jensen,et al.  Monte Carlo simulations of very low pressure chemical vapor deposition , 1993 .

[25]  François Golse,et al.  Applications of the boltzmann equation within the context of upper atmosphere vehicle aerodynamics , 1989 .

[26]  P. Fischer,et al.  PARALLEL SIMULATION OF VISCOUS INCOMPRESSIBLE FLOWS , 1994 .

[27]  Salomons,et al.  Usefulness of the Burnett description of strong shock waves. , 1992, Physical review letters.

[28]  S. Fukui,et al.  Analysis of Ultra-Thin Gas Film Lubrication Based on Linearized Boltzmann Equation: First Report—Derivation of a Generalized Lubrication Equation Including Thermal Creep Flow , 1988 .

[29]  M N Kogan.  Molecular Gas Dynamics , 1973 .

[30]  Hassan Hassan,et al.  Effects of chemistry on blunt-body wake structure , 1995 .

[31]  Robert J. Hoekstra,et al.  Two‐dimensional modeling of high plasma density inductively coupled sources for materials processing , 1994 .

[32]  Francis J. Alexander,et al.  Direct simulation Monte Carlo for thin‐film bearings , 1994 .

[33]  Richard G. Wilmoth.  Application of a parallel direct simulation Monte Carlo method to hypersonic rarefied flows , 1992 .

[34]  S. G. Lambrakos,et al.  Geometric properties of the monotonic Lagrangian grid algorithm for near neighbor calculations , 1987 .

[35]  Elaine S. Oran,et al.  Combining the monotonic Lagrangian grid with a direct simulation Monte Carlo model , 1995 .

[36]  Hassan Hassan,et al.  Blunt body rarefied wakes for Earth entry , 1995 .

[37]  Jay P. Boris,et al.  A vectorized near neighbors algorithm of order N using a monotonic logical grid , 1986 .

[38]  George Em Karniadakis,et al.  Rarefaction and Compressibility Effects in Gas Microflows , 1996 .

[39]  Masato Ikegawa,et al.  Deposition Profile Simulation Using the Direct Simulation Monte Carlo Method , 1989 .

[40]  E. Oran,et al.  Computations of High-Speed, High Knudsen Number Microchannel Flows , 1997 .

[41]  O'Connell,et al.  Molecular dynamics-continuum hybrid computations: A tool for studying complex fluid flows. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[42]  Chih-Ming Ho,et al.  MICRO-ELECTRO-MECHANICAL-SYSTEMS (MEMS) AND FLUID FLOWS , 1998 .

[43]  Elaine S. Oran,et al.  A Technique for Regularizing the Structure of a Monotonic Lagrangian Grid , 1993 .

[44]  William J. Feiereisen,et al.  Particle simulation of rarefied aeropass maneuvers of the Magellan spacecraft , 1994 .

[45]  Iain D. Boyd.  Vectorization of a Monte Carlo simulation scheme for nonequilibrium gas dynamics , 1991 .

[46]  H. Mott-Smith,et al.  The Solution of the Boltzmann Equation for a Shock Wave , 1951 .

[47]  Hybrid Navier-Stokes/Monte Carlo method for reacting flow calculations , 1992 .

[48]  M. Holdsworth,et al.  Transcriptional control of plant storage protein genes. , 1993, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[49]  Hassan Hassan,et al.  A generalized hard‐sphere model for Monte Carlo simulation , 1993 .

[50]  Charles K. Birdsall,et al.  Particle-in-cell charged-particle simulations, plus Monte Carlo collisions with neutral atoms, PIC-MCC , 1991 .

[51]  Richard G. Wilmoth,et al.  Direct simulation Monte Carlo and Navier-Stokes simulations of blunt body wake flows , 1994 .

[52]  Claus Borgnakke,et al.  Statistical collision model for Monte Carlo simulation of polyatomic gas mixture , 1975 .

[53]  J. Butler,et al.  Thin film diamond growth mechanisms , 1993, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

[54]  Michael S. Woronowicz,et al.  Application of direct simulation Monte Carlo to satellite contamination studies , 1995 .

[55]  Kenichi Nanbu,et al.  Direct simulation scheme derived from the Boltzmann equation. I - Monocomponent gases. II - Multicom , 1980 .

[56]  G. Bird.  Direct simulation of typical AOTV entry flows , 1986 .

[57]  S. M. Yen,et al.  Monte Carlo solutions of nonlinear boltzmann equation for problems of heat transfer in rarefied gases , 1971 .

[58]  Graeme A. Bird,et al.  Monte Carlo Simulation of Gas Flows , 1978 .

[59]  M. Ivanov,et al.  Capsule aerodynamics with real gas effects from free-molecular to near-continuum regimes , 1997 .

[60]  R. G. Lord.  Direct simulation Monte Carlo calculations of rarefied flows with incomplete surface accommodation , 1992 .

[61]  Graeme A. Bird,et al.  Nonequilibrium radiation during re-entry at 10 km/s , 1987 .

[62]  Hiroaki Matsumoto,et al.  Variable soft sphere molecular model for inverse-power-law or Lennard-Jones potential , 1991 .

[63]  Iain D. Boyd,et al.  Conservative Species Weighting Scheme for the Direct Simulation Monte Carlo Method , 1996 .

[64]  F. Collins,et al.  Method for determining wall boundary conditions for DSMC calculations at high speed ratios , 1994 .

[65]  O. M. Belotserkovskii,et al.  The statistical particles-in-cells method for solving rarefied gas dynamics problems , 1975 .

[66]  H. Cheng,et al.  Perspectives on Hypersonic Viscous Flow Research , 1993 .

[67]  B. Haas,et al.  Simulated Rarefied Aerodynamics of the Magellan Spacecraft During Aerobraking , 1993 .

[68]  D. C. Wadsworth,et al.  One-dimensional hybrid continuum/particle simulation approach for rarefied hypersonic flows , 1990 .

[69]  K. Koura.  Transient Couette Flow of Rarefied Binary Gas Mixtures , 1970 .

[70]  Elaine S. Oran,et al.  Parallelization of direct simulation Monte Carlo method combined with monotonic Lagrangian grid , 1996 .

[71]  D. Rault.  Aerodynamic characteristics of Magellan spacecraft in Venus upper atmosphere , 1993 .

[72]  Stefan Dietrich,et al.  Scalar and Parallel Optimized Implementation of the Direct Simulation Monte Carlo Method , 1996 .

[73]  Jay N. Zemel,et al.  Gas flow in micro-channels , 1995, Journal of Fluid Mechanics.

[74]  G. Karniadakis,et al.  Simulation of Heat and Momentum Transfer in Complex Microgeometries , 1994 .

[75]  G. Bird.  Low density aerothermodynamics , 1985 .