LEADER 05387oam 2200553 450 001 9910807295603321 005 20190911112729.0 010 $a981-4508-30-6 035 $a(OCoLC)897557578 035 $a(MiFhGG)GVRL8RAP 035 $a(EXLCZ)992670000000360840 100 $a20130808h20132013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aLattice Boltzmann method and its applications in engineering /$fZhaoli Guo, Huazhong University of Science and Technology, China, Chang Shu, National University of Singapore, Singapore 210 $aSingapore ;$aHackensack, NJ $cWorld Scientific$dc2013 210 1$aNew Jersey :$cWorld Scientfic,$d[2013] 210 4$d?2013 215 $a1 online resource (xiii, 404 pages) $cillustrations (some color) 225 0 $aAdvances in computational fluid dynamics ;$vvol. 3 300 $aDescription based upon print version of record. 311 $a981-4508-29-2 320 $aIncludes bibliographical references (p. 373-396) and index. 327 $aDedication; Preface; Contents; Chapter 1 Introduction; 1.1 Description of Fluid System at Different Scales; 1.1.1 Microscopic description: molecular dynamics; 1.1.2 Mesoscopic description: kinetic theory; 1.1.3 Macroscopic description: hydrodynamic equations; 1.2 Numerical Methods for Fluid Flows; 1.3 History of LBE; 1.3.1 Lattice gas automata; 1.3.2 From LGA to LBE; 1.3.3 From continuous Boltzmann equation to LBE; 1.4 Basic Models of LBE; 1.4.1 LBGK models; 1.4.2 From LBE to the Navier-Stokes equations: Chapman-Enskog expansion; 1.4.3 LBE models with multiple relaxation times; 1.5 Summary 327 $aChapter 2 Initial and Boundary Conditions for Lattice Boltzmann Method2.1 Initial Conditions; 2.1.1 Equilibrium scheme; 2.1.2 Non-equilibrium scheme; 2.1.3 Iterative method; 2.2 Boundary Conditions for Flat Walls; 2.2.1 Heuristic schemes; 2.2.2 Hydrodynamic schemes; 2.2.3 Extrapolation schemes; 2.3 Boundary Conditions for Curved Walls; 2.3.1 Bounce-back schemes; 2.3.2 Fictitious equilibrium schemes; 2.3.3 Interpolation schemes; 2.3.4 Non-equilibrium extrapolation scheme; 2.4 Pressure Boundary Conditions; 2.4.1 Periodic boundary conditions; 2.4.2 Hydrodynamic schemes 327 $a2.4.3 Extrapolation schemes2.5 Summary; Chapter 3 Improved Lattice Boltzmann Models; 3.1 Incompressible Models; 3.2 Forcing Schemes with Reduced Discrete Lattice Effects; 3.2.1 Scheme with modified equilibrium distribution function; 3.2.2 Schemes with a forcing term; 3.2.3 Analysis of the forcing schemes; 3.2.4 Forcing scheme for MRT-LBE; 3.3 LBE with Nonuniform Grids; 3.3.1 Grid-refinement and multi-block methods; 3.3.2 Interpolation methods; 3.3.3 Finite-difference based LBE methods; 3.3.4 Finite-volume based LBE methods; 3.3.5 Finite-element based LBE methods 327 $a3.3.6 Taylor series expansion and least square based methods3.4 Accelerated LBE Methods for Steady Flows; 3.4.1 Spectrum analysis of the hydrodynamic equations of the standard LBE; 3.4.2 Time-independent methods; 3.4.3 Time-dependent methods; 3.5 Summary; Chapter 4 Sample Applications of LBE for Isothermal Flows; 4.1 Algorithm Structure of LBE; 4.2 Lid-Driven Cavity Flow; 4.3 Flow around a Fixed Circular Cylinder; 4.4 Flow around an Oscillating Circular Cylinder with a Fixed Downstream One; 4.5 Summary; Chapter 5 LBE for Low Speed Flows with Heat Transfer; 5.1 Multi-speed Models 327 $a5.1.1 Low-order models5.1.2 High-order models; 5.2 MS-LBE Models Based on Boltzmann Equation; 5.2.1 Hermite expansion of distribution function; 5.2.2 Temperature/flow-dependent discrete velocities; 5.2.3 Temperature-dependent discrete velocities; 5.2.4 Constant discrete velocities; 5.2.5 MS-LBGK models based on DVBE with constant discrete velocities; 5.3 Off-Lattice LBE Models; 5.4 MS-LBE Models with Adjustable Prandtl Number; 5.5 DDF-LBE Models without Viscous Dissipation and Compression Work; 5.5.1 DDF-LBE based on multi-component models; 5.5.2 DDF-LBE for non-ideal gases 327 $a5.5.3 DDF-LBE for incompressible flows 330 $aLattice Boltzmann method (LBM) is a relatively new simulation technique for the modeling of complex fluid systems and has attracted interest from researchers in computational physics. Unlike the traditional CFD methods, which solve the conservation equations of macroscopic properties (i.e., mass, momentum, and energy) numerically, LBM models the fluid consisting of fictive particles, and such particles perform consecutive propagation and collision processes over a discrete lattice mesh.This book will cover the fundamental and practical application of LBM. The first part of the book consists of 410 0$aAdvances in computational fluid dynamics ;$vvolume 3. 606 $aLattice Boltzmann methods 606 $aFluid dynamics$xMathematical models 606 $aMechanics, Applied$xMathematical models 615 0$aLattice Boltzmann methods. 615 0$aFluid dynamics$xMathematical models. 615 0$aMechanics, Applied$xMathematical models. 676 $a530.138 700 $aGuo$b Zhaoli$01722847 702 $aShu$b Chang$f1962- 801 0$bMiFhGG 801 1$bMiFhGG 906 $aBOOK 912 $a9910807295603321 996 $aLattice Boltzmann method and its applications in engineering$94123590 997 $aUNINA