CONTENTS
Chapter 1Introduction
1.1Background
1.2Research Actuality
1.2.1Development and Actuality of LBM
1.2.2Multiphase Models in LBM
1.2.3Overview of Interfacecapturing Methods
1.3Book Layout
Chapter 2Mathematical Basics of MRTLBM
2.1Numerical Implementation of MRTLBM
2.2Macroscopic Equations Recovered by MRTLBM
2.3Multiphase Model Implementation in LBM
2.4Unit Conversion in LBM
2.5Summary
Chapter 3Analysis of Numerical Instability in LBM and Limiters
3.1Numerical Instability and Limiters
3.1.1Positivity of Probability Distribution Function
3.1.2Consistency of Interphase Force in SC Model
3.1.3Singularity of Equations of State
3.1.4Stabilization of Bulk Viscosity
3.1.5Schemes for Variation of Interphase Viscosity
3.2Validation of Numerical Stability
3.2.1Planar Interface Validation
3.2.2Stationary Droplet
3.2.3Droplet Splashing on Thin Film
3.3Summary
Chapter 4Highorder Analysis of Force Terms in MRTLBM
4.1Existing Problem of Additional Force in SC Model
4.2Highorder Analysis of Additional Force in MRT Scheme
4.2.1Thirdorder and Forthorder Expansions
4.2.2Effect of Highorder Residual in Vapor Density
4.2.3Staggered Arrangement of MRT Discretization
4.3Numerical Verification
4.3.1Planar Interface Verification
4.3.2Stationary Droplet Verification
4.3.3Moving Droplet Verification
4.4Summary
Chapter 5Decoupled and Stabilized MRTLBM
5.1Background
5.2Derivation of Decoupled and Stabilized MRTLBM
5.2.1Framework of Decoupled MRTLBM
5.2.2Stabilization Scheme
5.3Numerical Verification by Benchmark Cases
5.3.1Coexistence Curve of Equilibrium State
5.3.2Taylor Green Vortex Flow
5.3.3Shear Wave Flow
5.3.4Steady Poiseuille Flow
5.3.5Laplace’s Law
5.3.6Summary
5.4Applied Research of Multiphase Flow
5.4.1Headon Binary Droplet Collisions
5.4.2Droplet Splashing on Thin Film
5.4.3Droplet Impact on Dry Wall
5.4.4Pool Boiling
5.5Summary
Chapter 6Conclusions and Future Recommendations
6.1Conslusions
6.2Innovations of the Study
6.3Future Work Recommendations