Cover -- Title -- Copyright -- Table of Contents -- Preface -- Chapter 1. Discrete Velocity Models -- Compressible Channel Flow Using Two Discrete Velocity Gas Models -- New Exact Similarity Shock-Wave Solutions to the Discrete Boltzrpann Models -- Modified Discrete Velocity Gas Simulation -- Navier-Stokes Equations for a Class of Discrete Models with Different Moduli -- Structure of a Single-Component Exosphere in the Discrete Velocity Approximation -- Chapter 2. Relaxation and Rate Processes -- Transport Properties in Nonequilibrium Gas Mixtures -- Particle Simulation of Vibrational Relaxation -- Discrete Modeling of Vibrational Relaxation Processes in Rarefied Nonequilibrium Flows -- Electron Thermalization Processes in Gaseous Mixtures -- Direct Simulation Monte Carlo Method for Internal-Translational Energy Exchange in Nonequilibrium Flow -- Chapter 3. Direct Simulation Monte Carlo Method: Methodology -- Monte Carlo Simulations for Industrial Problems and Perspectives -- Procedure for Adapting Direct Simulation Monte Carlo Meshes -- Efficient Three-Dimensional Direct Simulation Monte Carlo for Complex Geometry Problems -- Direct Monte Carlo Simulation of Ionized Rarefied Flows on Large MIMD Parallel Supercomputers -- New Algorithms for Application in the Direct Simulation Monte Carlo Method -- Systematic Errors in Stationary Boltzmann Simulation Schemes -- Chapter 4. Direct Simulation Monte Carlo Method: Reactions and Flows -- New Chemical Reaction Model for Direct Simulation Monte Carlo Studies -- Modeling Chemical Reactions in Nonequilibrium Rarefied Flows Using Direct Simulation Monte Carlo Approach -- Direct Simulation Monte Carlo Modeling of Near-Continuum Flows with Chemical Reactions -- Simulation of Chemical Reactions with the Majorant Frequency Scheme.

Transient Motion of Rarefied Gas Caused by Heat Addition Simulated by the Direct Simulation Monte Carlo Method -- Direct Simulation Monte Carlo Analysis of Detailed Flow Structures in Gas Mixtures -- Comparison of Numerical Solutions of Transition Regime Flows: Direct Simulation Monte Carlo Simulation and Navier-Stokes Computation -- Monte Carlo Direct Simulation for Gas Flows with Vortexes Between Concentric Cylinders -- Monte Carlo Simulation Using Attractive-Repulsive Potentials -- Direct Simulation Monte Carlo Calculation of Sphere Drag in Low Supersonic Transition Flows -- Analysis of Gas Film Lubrication Using the Monte Carlo Direct Simulation Method -- Chapter 5. Mathematical Techniques -- Plane Waves in a Multispeed Discrete Velocity Gas -- Fluctuations for a Many-Particle System -- Deterministic Method for Solving the Boltzmann Equation -- Implicit Methods for Kinetic Equations -- Theoretical Comparison of Stochastic Particle Methods in Rarefied Gas Dynamics -- Deterministic and Nondeterministic Algorithms for Rarefied Gas Dynamics -- Stochastic Simulation Method for Diatomic Gas Models -- LP Solutions to the Linear Boltzmann Equation with Detailed Balance Relations -- Quadrature Discretization of Shizgal and Neutron Diffusion Problems -- Chapter 6. Discrete Lattice Methods and Simulations -- Cluster Computing with the Lattice-Boltzmann Method -- Application of a Vectorized Particle Simulation to the Study of Flat Plates in Rarefied Flow -- Comparison of Two Approaches to Direct Particle Simulation on the Connection Machine CM-2 -- Test-Particle Monte Carlo Method: Improvement and Comparison with the Direct Simulation -- Generalized Lattice-Boltzmann Equations -- Variable Soft-Sphere Molecular Model for Monte Carlo Simulation of Air Species -- Numerical Solution of a Three-Dimensional Cubic Cavity Flow Using the Boltzmann Equation.

Numerical Analysis of Normal Shock Waves on the Basis of the Boltzmann Equation for Hard-Sphere Molecules -- Efficiency of Finite Pointset Method for the Boltzmann Equation on Parallel Computers -- Chapter 7. Evaporation and Condensation -- Moment Solutions in the Kinetic Theory of Strong Evaporation and Condensation: Application to Dusty Gas Dynamics -- Inverted Temperature Gradient in a Vapor -- High-Speed Vapor Flows Condensing on a Plane Condensed Phase in the Presence of a Noncondensable Gas -- Slightly Strong Evaporation and Condensation of a Vapor-Gas Mixture Between Coaxial Cylindrical Condensed Phases: Concentration of Inert Gas ~O(Kn) -- Chapter 8. Kinetic Theory -- Approximation Methods for the Boltzmann Equation -- Calculation of the Slip Coefficient for a Mixture -- Hydrodynamic Interaction in Kinetic Theory of Disperse Systems -- Kinetic Theory for Particles with Internal Degrees of Freedom -- Kinetic Theory for a Polyatomic Gas with Classical and Quantum Mechanical Degrees of Freedom -- Stability Theory for the Kinetic Equations of a Moderately Dense Gas -- Brownian Motion in an Inhomogeneous Medium Applied to Droplet Growth in the Transition Regime -- Study of the Two-Stream Moment Method for Linear Kinetic Boundary-Layer Problems -- Thermophoresis of a Sphere with a Uniform Temperature: Numerical Analysis of the Boltzmann Equation for Hard-Sphere Molecules -- Rarefied Gas Flow over a Catalytic Wall -- Chapter 9. Transport Processes -- Anisotropic Diffusive Limit for Particle Transport in Stochastic Mixtures -- Solution to BGK Model Transport Equation via Numerical Laplace Transform -- Thermal Diffusion as a Probe of Intermolecular Interactions -- Wentzel-Kramers-Brillouin Approach to Time-Dependent Nucleation -- Modeling of Rotational Rate Coefficients and Transport Properties -- Author Index.