عنوان

Multiphase lattice Boltzmann methods :

(Number (ISBN

1118971345 (epub)

(Number (ISBN

1118971442 (pdf)

(Number (ISBN

1118971450

(Number (ISBN

9781118971345 (epub)

(Number (ISBN

9781118971444 (pdf)

(Number (ISBN

9781118971451

Erroneous ISBN

9781118971338 (cloth)

Number

dltt

Title Proper

Multiphase lattice Boltzmann methods :

General Material Designation

[Book]

Other Title Information

theory and application /

First Statement of Responsibility

Haibo Huang, Michael C. Sukop, and Xi-Yun Lu

Specific Material Designation and Extent of Item

1 online resource

Text of Note

Includes bibliographical references and index

Text of Note

Introduction -- History of the Lattice Boltzmann method -- The Lattice Boltzmann method -- Multiphase LBM -- Color-gradient model -- Shan-Chen model -- Free-energy model -- Interface tracking model -- Comparison of models -- Units in this book and parameter conversion -- Appendix: Einstein summation convention -- Kronecker & function -- Lattice tensors -- Use of the Fortran code in the book -- Single-component multiphase Shan-Chen-type model -- Introduction -- "Equilibrium" velocity in the SC model -- Inter-particle forces in the SC SCMP LBM -- Typical equations of state -- Parameters in EOS -- Thermodynamic consistency -- The SCMP LBM EOS -- Incorporating other EOS into the SC model -- Analytical surface tension -- Inter-particle Force Model A -- Inter-particle Force Model B -- Contact angle -- Capillary rise -- Parallel flow and relative permeabilities -- Forcing term in the SC model -- Schemes co incorporate the body force -- Scheme overview -- Theoretical analysis -- Numerical results and discussion -- Multirange pseudopotential (Inter-particle Force Model B) -- Conclusions -- Appendix A: Analytical solution for layered multiphase flow in a channel -- Appendix B: FORTRAN code to simulate single component multiphase droplet contacting a wall, as shown in Figure 2.7(c) -- Shan and Chen-type multi-component multiphase models -- Multi-component multiphase SC LBM -- Fluid-fluid cohesion and fluid-solid adhesion -- Derivation of the pressure -- Pressure in popular papers (2D) -- Pressure in popular papers (3D) -- Determining Gc and the surface tension -- Contact angle -- Application of Young's equation to MCMP LBM -- Contact angle measurement -- Verification of proposed equation -- Flow through capillary tubes -- Layered two-phase flow in a 2D channel -- Pressure or velocity boundary conditions -- Boundary conditions for 2D simulations -- Boundary conditions for 3D simulations -- Displacement in a 3D porous medium -- Rothman-Keller multiphase Lattice Boltzmann model -- Introduction -- EK color-gradient model -- Theoretical analysis (Chapman-Enskog expansion) -- Discussion of above formulae -- Layered two-phase flow in a 2D channel -- Cases of two fluids with identical densities -- Cases of two fluids with different densities -- Interfacial tension and isotropy of the RK model -- Interfacial tension -- Isotropy -- Drainage and capillary filling -- MRT RK model -- Contact angle -- Spurious currents -- Tests of inlet/outlet boundary conditions -- Immiscible displacements in porous media -- Appendix A -- Appendix B -- Free-energy-based multiphase Lattice Boltzmann model -- Swift tree-energy based single-component multiphase LBM -- Derivation of the coefficients in the equilibrium distribution function -- Chapman-Enskog expansion -- Issue of Galilean invariance -- Phase separation -- Contact angle -- How to specify a desired contact angle -- Numerical verification -- Swift free-energy-based multi-component multiphase LBM -- Appendix -- Inamuro's multiphase Lattice Boltzmann model -- Introduction -- Inamuro's method -- Comment on the presentation -- Chapman-Enskog expansion analysis -- Cahn-Hilliard equation (equation for order parameter) -- Poisson equation -- Droplet collision -- Appendix -- He-Chen-Zhang multiphase Lattice Boltzmann model -- Introduction -- HCZ model -- Chapman-Enskog analysis -- N-S equations -- CH equation -- Surface tension and phase separation -- Layered two-phase flow in a channel -- Rayleigh-Taylor instability -- Contact angle -- Capillary rise -- Geometric scheme to specify the contact angle and its hysteresis -- Examples of droplet slipping in shear flows -- Oscillation of an initially ellipsoidal droplet -- Appendix A -- Appendix B: 2D code -- Appendix C: 3D code -- Axisymmetric multiphase HCZ model -- Introduction -- Methods -- Macroscopic governing equations -- Axisymmetric HCZ LBM (Fremnath and Abraham 2005a) -- MRT version of the axisymmetric LBM (McCracken and Abraham 2005) -- Axisymmetric boundary conditions -- The Laplace law -- Oscillation of an initially elbpsoidal droplet -- Cylindrical liquid column break -- Droplet collision -- Effect of gradient and Laplacian calculation -- Efiect of BGK and MRT -- A revised axisymmetric HCZ model (Huang et al. 2014) -- MRT collision -- Calculation of the surface tension -- Mass correction -- Bubble rise -- Numerical validation -- Surface-tension calculation effect -- Terminal bubble shape -- Wake behind the bubble -- Conclusion -- Appendix A: Chapman-Enskog analysis -- Preparation for derivation -- Mass comervaiion -- Momentum conservation -- CH equation -- Extensions of the HCZ model for high-density ratio two-phase flows -- Introduction -- Model I (lee and Lin 2005) -- Stress and potential form of intermolecular forcing terms -- Model description -- Implementation -- Directional derivative -- Droplet splashing on a thin liquid film -- Model II (Amaya-Bower and Lee 2010) -- Implementation -- Model III (Lee and Liu 2010) -- Model IV -- Numerical tests for different models -- A drop inside a box with periodic boundary conditions -- Layered two-phase flows in a channel -- Galilean invariance -- Conclusions. -- Appendix A: Analytical solutions for layered two-phase flow in a channel -- Appendix B: 2D code based on Amaya-Bower and Lee (2010) -- Axisymmetric high-density ratio two-phase LBMs (extension of the HCZ model) -- Introduction -- The model based on Lee and Lin (2005) -- The equilibrium distribution functions I -- The equilibrium distribution functions II -- Source terms -- Stress and potential form of intermolecular forcing terms -- Chapman-Enskog analysis -- Implementation -- Droplet splashing on a thin liquid film -- Head-on droplet collision -- Axisymmetric model based on Lee and Liu (2010) -- Implementation -- Head-on droplet collision -- Bubble rise

0

Title

Multiphase lattice Boltzmann methods

International Standard Book Number

9781118971338

Fluid dynamics-- Mathematical models.

Fluid dynamics.

Lattice Boltzmann methods.

Multiphase flow.

SCI-- 024000

SCI-- 041000

SCI-- 055000

Number

Edition

Class number

Huang, Haibo, (Engineering professor)

Lu, Xi-Yun.

Sukop, Michael C.

Ohio Library and Information Network.

Date of Transaction

20160603080038.2

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y