05351oam 2200553 450 991078697090332120190911112729.0981-4508-30-6(OCoLC)897557578(MiFhGG)GVRL8RAP(EXLCZ)99267000000036084020130808h20132013 uy 0engurun|---uuuuatxtccrLattice Boltzmann method and its applications in engineering /Zhaoli Guo, Huazhong University of Science and Technology, China, Chang Shu, National University of Singapore, SingaporeSingapore ;Hackensack, NJ World Scientificc2013New Jersey :World Scientfic,[2013]�20131 online resource (xiii, 404 pages) illustrations (some color)Advances in computational fluid dynamics ;vol. 3Description based upon print version of record.981-4508-29-2 Includes bibliographical references (p. 373-396) and index.Dedication; 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 SummaryChapter 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 schemes2.4.3 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 methods3.3.6 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 Models5.1.1 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 gases5.5.3 DDF-LBE for incompressible flowsLattice 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 ofAdvances in computational fluid dynamics ;volume 3.Lattice Boltzmann methodsFluid dynamicsMathematical modelsMechanics, AppliedMathematical modelsLattice Boltzmann methods.Fluid dynamicsMathematical models.Mechanics, AppliedMathematical models.530.138Guo Zhaoli1554583Shu Chang1962-MiFhGGMiFhGGBOOK9910786970903321Lattice Boltzmann method3815902UNINA