دانلود کتاب An Introduction to the Lattice Boltzmann Method: A Numerical Method for Complex Boundary and Moving Boundary Flows

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Contents
Preface
1. Lattice Boltzmann Method (LBM)
1.1 Lattice Gas Model
1.2 Basic Equation
1.3 Formulation of the Collision Term
1.4 Local Equilibrium Distribution Function
1.5 Derivation of the Fluid Dynamic Equations
1.6 LBM with an External Force Term
1.7 Incompressible Local Equilibrium Distribution Function
1.8 Flow with Heat Transfer
1.9 Equation of an Acoustic Field
1.10 LBM-derived Method
1.11 Boundary Condition
1.12 Computational Algorithm of LBM
1.13 Numerical Examples
1.13.1 Flows in a porous structure
1.13.2 Rayleigh–Bénard convection
2. Lattice Kinetic Scheme
2.1 LKS
2.2 LWACM
2.3 Improved LKS
2.4 Bulk Viscosity Coefficient
2.5 Boundary Condition
2.6 Computational Algorithm of Improved LKS
2.7 Numerical Examples
2.7.1 Natural convection ows in a square cavity
2.7.2 Taylor–Green vortex
2.8 Comparison between Improved LKS and MRT-LBM
3. Immersed Boundary–Lattice Boltzmann Method (IB-LBM)
3.1 LBM-based Methods for Moving Boundary Flows
3.2 Idea of IBM
3.3 LBM with an External Forcing Term (Fractional-Step Method)
3.4 Formulation of the IBM
3.5 Force and Torque Acting on a Moving Object
3.6 Motion of the Boundary Lagrangian Points
3.7 Computational Algorithm of IB-LBM
3.8 Thermal Immersed Boundary–Lattice Boltzmann Method (Thermal IB-LBM)
3.9 Multi-block Grid Method
3.10 Numerical Examples
3.10.1 Sedimentation of an elliptical cylinder
3.10.2 Sedimentation of a cold circular cylinder in a hot channel with natural convection
3.10.3 Forward ight of a buttery
3.10.4 Sharp-turn ight of a dragony
4. Two-Phase Lattice Boltzmann Method (Two-Phase LBM)
4.1 Classication of Two-Phase LBM
4.2 Free-Energy Model
4.3 Computation of ϕ by LKS
4.4 Wettability on the Body Surface (Boundary Condition for ϕ)
4.5 Two-Phase LBM for Equal Density
4.6 Pressure Computation at Large Density Ratio
4.7 Two-Phase LBM for Large Density Ratios
4.8 Computational Algorithm of Two-Phase LBM for Large Density Ratios
4.9 Two-Phase LBM for Large Density Ratios (Method in 2004)
4.10 Numerical Examples
4.10.1 Droplet deformation and breakup in shear flows
4.10.2 Layered Poiseuille ow
4.10.3 Droplet collision
4.10.4 Milk crown
Appendix A Definitions of Dimensionless Variables
Appendix B D3Q19 and D3Q27 Models
Appendix C LBM with the MRT Model (MRT-LBM)
C.1 Formulation
C.2 Asymptotic Analysis (S-Expansion)
Appendix D Summation Formulae of Particle Velocities ci
Appendix E Lattice Units
Appendix F Program Examples
F.1 Flow Past a Circular Cylinder
F.2 Stationary Droplet
Afterword
Bibliography
Index