Computational Fluid Dynamics

Continuum Hypothesis in the Computation of Gas-Solid Flows.- 1. Introduction.- 2. Governing Equations.- 2.1 Gas Phase.- 2.2 Particulate Phase.- 2.3 Boundary Conditions.- 3. Numerical Procedure.- 4. Numerical Results.- 5. Conclusions.- Numerical Modelling of Two- and Three-Dimensional External and Internal Unsteady Incompressible Flow Problems.- 1. Introduction.- 2. The Mathematical Model — The Governing Equations.- 3. The Numerical Solution Method.- 4. The Solution of the Equation Systems (3.9) and (3.10) — Solvability Conditions.- 5. The Application of the Solution Methods to Crystal Melt Flow.- 5.1 Wheeler’s Benchmark Problem.- 5.2 The Numerical Simulation of Vertically Situated (Bi0.5Sb1.5Te3) Melt Zones.- 5.3 Further Investigations.- 6. The External Flow Around a Cylinder.- Numerical Experiments in Double-Diffusive Convection.- 1. Introduction.- 2. The Motion Equations and Their Numerical Solution.- 3. Lateral Heating of a Stratified Fluid.- 4. Conclusion.- New Potentialities of Computational Experiment in Tsunami Problem.- 1. Introduction.- 2. Basic Mathematical Models.- 3. Methodological Principles of Some Applied Problems of Tsunami by Computational Experiment.- 3.1 Apriori Zoning of the Coast.- 3.2 On-Line Assessment of the Hazardous Wave Parameters.- 4. Computational Experiment Facilities Employed for the Training of the Tsunami Warning Service Personnel and of the Population in the Threatened Zones.- General Balance Equations for a Fluid—Fluid Interface in Magnetofluiddynamics Soubbaramayer.- 1. Introduction.- 2. MFD Model: Integral Conservative Form.- 3. Balance Equations for the Interface.- 4. Application to the Calculation of the Surface Depression in a High-Current Arc Weld Pool.- 5. Conclusion.- Group-Invariant Solutions of Hydrodynamics.- 1. Introduction.- 2. Lie Groups Applied to Differential Equations.- 3. Hydrodynamics Model.- 4. One-Dimensional Solutions.- 4.1 Traditional Similarity Solutions.- 4.2 Exponential Solutions.- 4.3 Projective Group Solutions.- 4.4 Solutions Including Conduction.- 4.5 Solutions with Shocks.- 4.6 Boundary Conditions.- 5. Two-Dimensional Solutions.- 5.1 Multiple Reductions Using Lie Groups.- 5.2 Reductions to ODE’s.- 6. 3-D Solutions.- 7. Analytic Solutions.- Survey on Exact Solutions for Discrete Models of the Boltzmann Equation.- 1. Introduction.- 2. Broad well Equations.- 2.1 Self-Similar Solutions.- 2.2 Cornille’s Solutions.- 3. Models with 14 Velocities.- 4. Models with Triple Collisions.- 5. Two-Dimensional Semi-Continuous Model Ill.- 6. Conclusion.- Boundary Conditions for Discrete Models of Gases and Applications to Couette Flows Amah D’Almeida and Renée Gatignol.- 1. Introduction.- 2. Discrete Kinetic Theory.- 3. Boundary Conditions.- 4. Couette Flows.- 5. Results.- 5.1 Study of the Tangential Velocity.- 5.2 Study of the Temperature.- 6. Conclusion.- Computation of Viscous Transonic Flow Around the F5 Wing.- 1. Introduction.- 2. Governing Equations and Boundary Conditions.- 2.1 Navier-Stokes Equations.- 2.2 Turbulence Model.- 2.3 Boundary Conditions.- 3. Numerical Method.- 3.1 Spatial Discretization.- 3.2 Numerical Damping.- 3.3 Time Integration.- 3.4 Initialization and Boundary Treatment.- 3.5 Stability.- 4. Results.- 4.1 O - O Mesh.- 4.2 Case 1: ? = 0°.- 4.3 Case 2: ? = 2°.- 5. Conclusions.- A Time-Dependent Space Marching Algorithm for Three-Dimensional PNS Equations.- 1. Introduction.- 2. Governing Equations.- 3. The Flux-Difference Splitting.- 4. Explicit-Implicit Difference Scheme.- 4.1 Multi-Sweep Technique.- 4.2 Single-Sweep Technique.- 5. Numerical Tests.- 5.1 The Hypersonic Flow Past the Sphere-Cone at High Angle of Attack.- 5.2 Hypersonic Flow Around the Simplified Space-Shuttle Orbiter ..- 6. Conclusions.- New Potential-Field Properties of General Laminar and Turbulent Motions of Newtonian Fluids.- I. Introduction.- 2. Physical and Mathematical Preliminaries.- 2.1 Mathematical Laws.- 2.2 Physical Terminologies and Fundamental Laws.- 3. Derivation of Some Field Properties of NSE.- 3.1 Relation Between Mechanical and Internal Energy.- 3.2 The Dissipation Minimum Principle in the Stationary Case.- 3.3 Potential Field Properties in the Stationary Case.- 4. Thermo dynamical Stability Criterion for Instationary Flows.- 5. The Instationary Turbulent Flow in Temporal Mean.- 6. Conclusion.- Boundary Layer Turbulence and the Control by Suction.- 1. Introduction.- 2. Flow Change with the Development of Boundary Layer.- 3. Discussion on Energy.- 4. Self-Organization of Turbulent Boundary Layer.- 5. Experiment on Control of Turbulent Boundary Layer.- 6. Conclusions.- On the Quasi-Geostrophic Drag on a Rising Sphere in a Rotating Fluid.- 1. Introduction.- 2. Solution.- 3. Results.- Two-Dimensional Nonlinear Saturation Behaviour of Instability Waves in a Boundary Layer at Mach 5.- 1. Introduction.- 2. Governing Equations.- 3. Numerical Method.- 4. Simulation Results.- 5. Perturbation Evolution.- 6. Evolution of the Flow Field.- 7. Shock Identification.- 8. Conclusions.- Inertia! Convection in Turbulent Rayleigh-Bénard Convection at Small Prandtl Numbers.- 1. Introduction.- 2. Simulation Method.- 3. Case Specifications and Initial Data.- 4. Results.- 4.1 Verification.- 4.2 Flow Mechanisms and Dynamics.- 4.3 Heat Transfer Statistics.- 5. Conclusions.- The GRP Treatment of Flow Singularities.- 1. Tracking of Singularities.- 2. Geometrical Singularities.- 3. Narrow Reaction Zones in Combustion Calculations.- Application of the Multidomain Local Fourier Method for CFD in Complex Geometries.- 1. Introduction.- 2. Multidomain Local Fourier Method (MDLF).- 3. Problems in Complex Geometries.- 4. Preconditioned Iteration Method with Spectral Preconditioner.- 5. Demonstration for the Navier-Stokes System.- Confined Swirling Flows - A Continuing Challenge.- 1. Introduction.- 2. Statement of the Problem.- 2.1 Disk-Cylinder System.- 2.2 Spherical Annulus.- 2.3 Cylinderical Annulus.- 2.4 Sphere-Capsule System.- 3. Numerical Formulation.- 4. Results and Discussion.- 4.1 Disk-Cylinder System.- 4.2 Spherical Annulus.- 4.3 Cylinderical Annulus.- 4.4 Sphere-Capsule System.- 5. Conclusions.- 5.1 Present Study.- 5.2 Future Trends.- Eshelbian Continuum Mechanics and Nonlinear.- 1. Introduction.- 2. Momentum and Pseudo-Momentum; Force and Pseudo-Force.- 3. Field Formulation.- 4. Non-Equivalence Between Global Formulations.- 5. The Role of Pseudomomentum and Energy in Nonlinear-Wave Propagation.- 5.1 General Features.- 5.2 First Example: The “Good” Boussinesq (GoB) Equation.- 5.3 Second Example: The “Generalized” Boussinesq Equation (GB).- 5.4 Material Global Forces as Perturbations.- 6. A Newtonian Mechanics for Global Material Forces?.