Linked e-resources
Details
Table of Contents
3.2 First-Type BC: The Dirichlet BC
3.3 Second-Type BC: The Neumann BC
3.4 Periodic BC
3.5 Symmetric BC
3.6 Free-Slip BC
3.7 Straight Solid-Wall BC: The Bounce-Back Model
3.7.1 Fullway Bounce-Back
3.7.2 Halfway Bounce-Back
3.7.3 Fullway Versus Halfway Bounce-Back
3.8 Bounce-Back Improvement: The Wall-Function Bounce (WFB) Model
3.8.1 WFB Framework
3.8.2 Shear Drag tw Calculation: Spalding's Law
3.9 Bounce-Back for Curved-Wall BC: The Bouzidi-Firdaouss-Lallemand (BFL) Scheme
3.10 Extrapolation Method for Curved-Wall BC: The Guo Scheme
Intro
Preface
Acknowledgments
Contents
Nomenclature, Symbols, and Abbreviations
Greek Symbols
Superscript
Subscript
Acronyms, Abbreviations
Symbols, Operators
Part I Fundamental Theory and Implementation of the Lattice Boltzmann Method
1 Introduction
1.1 Introduction
1.2 Review of Navier-Stokes Equations (NSE)-Based Computational Fluid Dynamics (CFD) in the Built Environment
1.2.1 Continuity Assumption of Fluid
1.2.2 Governing Equations
1.2.3 Important Physical Quantities in CFD
1.2.4 Dimensional Analysis and Dimensionless Form of the NSE
1.2.5 Similarity
1.2.6 NSE-Based CFD Simulation Methods
1.3 Development of the Lattice Boltzmann Method (LBM)
1.3.1 Lattice Gas Automata (LGA)
1.3.2 From LGA to LBM
1.3.3 LBM Development
1.3.4 LBM Application in the Built Environment
1.4 Purpose and Outline of This Book
References
2 Fundamental Theory of the Lattice Boltzmann Method
2.1 Introduction
2.2 Fluid From a Mesoscopic Perspective
2.2.1 Distribution Functions
2.2.2 Equilibrium Distributions and Maxwell-Boltzmann Distributions
2.3 Lattice Boltzmann Equation (LBE)
2.3.1 Stream and Collision
2.3.2 LBE
2.4 Discrete Velocity Scheme
2.4.1 Discrete Velocity and DdQq Schemes
2.4.2 D2Q9 Scheme for 2D Problems
2.4.3 D3Q19 and D3Q27 Schemes for 3D Problems
2.4.4 Equilibrium Distribution Function in the DdQq Scheme
2.5 Collision Function: Relaxation Time Scheme
2.5.1 Moment
2.5.2 Single-Relaxation Time (SRT) Scheme and the BGK Model
2.5.3 Multi-Relaxation Time (MRT) Scheme
2.5.4 Two-Relaxation Time (TRT) Scheme
2.5.5 Other Advanced Collision Function Schemes
2.6 Summary
References
3 Implementation of the Boundary Conditions
3.1 Introduction
3.11 Other Solid-Wall BCs
3.12 Summary
References
4 From the Lattice Boltzmann Equation to Fluid Governing Equations
4.1 Introduction
4.2 Taylor Expansion of the LBE
4.3 Chapman-Enskog Multi-scale Analysis
4.4 From Mesoscopic Temporal-Spatial Scale to Macroscopic Scale
4.5 Definition of Macroscopic Quantities and the Equilibrium Distribution Function
4.6 Derivation of the Continuity Equation (Mass Conservation)
4.7 Derivation of the NSE (Momentum Conservation)
4.8 Detailed Mathematical Operations in the Derivation Process
4.8.1 Derivation of (4.21)
3.3 Second-Type BC: The Neumann BC
3.4 Periodic BC
3.5 Symmetric BC
3.6 Free-Slip BC
3.7 Straight Solid-Wall BC: The Bounce-Back Model
3.7.1 Fullway Bounce-Back
3.7.2 Halfway Bounce-Back
3.7.3 Fullway Versus Halfway Bounce-Back
3.8 Bounce-Back Improvement: The Wall-Function Bounce (WFB) Model
3.8.1 WFB Framework
3.8.2 Shear Drag tw Calculation: Spalding's Law
3.9 Bounce-Back for Curved-Wall BC: The Bouzidi-Firdaouss-Lallemand (BFL) Scheme
3.10 Extrapolation Method for Curved-Wall BC: The Guo Scheme
Intro
Preface
Acknowledgments
Contents
Nomenclature, Symbols, and Abbreviations
Greek Symbols
Superscript
Subscript
Acronyms, Abbreviations
Symbols, Operators
Part I Fundamental Theory and Implementation of the Lattice Boltzmann Method
1 Introduction
1.1 Introduction
1.2 Review of Navier-Stokes Equations (NSE)-Based Computational Fluid Dynamics (CFD) in the Built Environment
1.2.1 Continuity Assumption of Fluid
1.2.2 Governing Equations
1.2.3 Important Physical Quantities in CFD
1.2.4 Dimensional Analysis and Dimensionless Form of the NSE
1.2.5 Similarity
1.2.6 NSE-Based CFD Simulation Methods
1.3 Development of the Lattice Boltzmann Method (LBM)
1.3.1 Lattice Gas Automata (LGA)
1.3.2 From LGA to LBM
1.3.3 LBM Development
1.3.4 LBM Application in the Built Environment
1.4 Purpose and Outline of This Book
References
2 Fundamental Theory of the Lattice Boltzmann Method
2.1 Introduction
2.2 Fluid From a Mesoscopic Perspective
2.2.1 Distribution Functions
2.2.2 Equilibrium Distributions and Maxwell-Boltzmann Distributions
2.3 Lattice Boltzmann Equation (LBE)
2.3.1 Stream and Collision
2.3.2 LBE
2.4 Discrete Velocity Scheme
2.4.1 Discrete Velocity and DdQq Schemes
2.4.2 D2Q9 Scheme for 2D Problems
2.4.3 D3Q19 and D3Q27 Schemes for 3D Problems
2.4.4 Equilibrium Distribution Function in the DdQq Scheme
2.5 Collision Function: Relaxation Time Scheme
2.5.1 Moment
2.5.2 Single-Relaxation Time (SRT) Scheme and the BGK Model
2.5.3 Multi-Relaxation Time (MRT) Scheme
2.5.4 Two-Relaxation Time (TRT) Scheme
2.5.5 Other Advanced Collision Function Schemes
2.6 Summary
References
3 Implementation of the Boundary Conditions
3.1 Introduction
3.11 Other Solid-Wall BCs
3.12 Summary
References
4 From the Lattice Boltzmann Equation to Fluid Governing Equations
4.1 Introduction
4.2 Taylor Expansion of the LBE
4.3 Chapman-Enskog Multi-scale Analysis
4.4 From Mesoscopic Temporal-Spatial Scale to Macroscopic Scale
4.5 Definition of Macroscopic Quantities and the Equilibrium Distribution Function
4.6 Derivation of the Continuity Equation (Mass Conservation)
4.7 Derivation of the NSE (Momentum Conservation)
4.8 Detailed Mathematical Operations in the Derivation Process
4.8.1 Derivation of (4.21)