Large-Eddy Simulation Based on the Lattice Boltzmann Method for Built Environment Problems

Abstract

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 -- 3.2 First-Type BC: The Dirichlet BC -- 3.3 Second-Type BC: The Neumann BC.