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Lattice Boltzmann method and its applications in engineering

Author: Zhaoli Guo; Chang Shu
Publisher: Singapore : World Scientific Publishing, 2013. ©2013
Series: Advances in computational fluid dynamics, volume 3.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
Lattice 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  Read more...
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Document Type: Book
All Authors / Contributors: Zhaoli Guo; Chang Shu
ISBN: 9814508292 9789814508292
OCLC Number: 840583182
Description: xiii, 404 pages : illustrations ; 24 cm.
Contents: Ch. 1. Introduction. 1.1. Description of fluid system at different scales. 1.2. Numerical methods for fluid flows. 1.3. History of LBE. 1.4. Basic models of LBE. 1.5. Summary --
ch. 2. Initial and boundary conditions for lattice Boltzmann method. 2.1. Initial conditions. 2.2. Boundary conditions for flat walls. 2.3. Boundary conditions for curved walls. 2.4. Pressure boundary conditions. 2.5. Summary --
ch. 3. Improved lattice Boltzmann models. 3.1. Incompressible models. 3.2. Forcing schemes with reduced discrete lattice effects. 3.3. LBE with nonuniform grids. 3.4. Accelerated LBE methods for steady flows. 3.5. Summary --
ch. 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 --
ch. 5. LBE for low speed flows with heat transfer. 5.1. Multi-speed models. 5.2. MS-LBE models based on Boltzmann equation. 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. 5.6. DDF-LBE with viscous dissipation and compression work --
internal energy formulation. 5.7. DDF-LBE with viscous dissipation and compression work --
total energy formulation. 5.8. Hybrid LBE models. 5.9. Summary --
ch. 6. LBE for compressible flows. 6.1. Limitation of conventional LBE models for compressible flows. 6.2. Conventional equilibrium function-based LBE models for compressible flows. 6.3. Circular function-based LBE models for compressible flows. 6.4. Delta function-based LBE models for compressible flows. 6.5. Direct derivation of equilibrium distribution functions from conservation of moments. 6.6. Solution of discrete velocity Boltzmann equation. 6.7. Lattice Boltzmann flux solver for solution of Euler equations. 6.8. Some sample applications. 6.9. Summary --
ch. 7. LBE for multiphase and multi-component flows. 7.1. Color models. 7.2. Pseudo-potential models. 7.3. Free energy models. 7.4. LBE models based on kinetic theories. 7.5. Summary --
ch. 8. LBE for microscale gas flows. 8.1. Introduction. 8.2. Fundamental issues in LBE for micro gaseous flows. 8.3. LBE for slip flows. 8.4. LBE for transition flows. 8.5. LBE for microscale binary mixture flows. 8.6. Summary --
ch. 9. Other applications of LBE. 9.1. Applications of LBE for particulate flows. 9.2. Applications of LBE for flows in porous media. 9.3. Applications of LBE for turbulent flows. 9.4. Immersed boundary-lattice Boltzmann method and its applications. 9.5. Summary.
Series Title: Advances in computational fluid dynamics, volume 3.
Responsibility: Zhaoli Guo, Chang Shu.

Abstract:

Lattice 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 three chapters starting form the theory of LBM, basic models, initial and boundary conditions, theoretical analysis, to improved models. The second part of the book consists of six chapters, address applications of LBM in various aspects of computational fluid dynamic engineering, covering areas, such as thermo-hydrodynamics, compressible flows, multicomponent/multiphase flows, microscale flows, flows in porous media, turbulent flows, and suspensions. With these coverage LBM, the book intended to promote its applications, instead of the traditional computational fluid dynamic method.

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