第1章引言
1.1課題背景及意義
1.2研究現(xiàn)狀
1.2.1LBM的發(fā)展及現(xiàn)況
1.2.2LBM中的多相流模型
1.2.3各界面類方法研究現(xiàn)狀
1.3本書研究?jī)?nèi)容
第2章多松弛MRT格子玻爾茲曼模型介紹
2.1多松弛MRTLBM的基本計(jì)算過程
2.2多松弛方法對(duì)應(yīng)的宏觀方程
2.3LBM中的多相流模型
2.4LBM中的單位轉(zhuǎn)換
2.5本章小結(jié)
第3章LBM的不穩(wěn)定性分析及限制器
3.1不穩(wěn)定性成因及限制器
3.1.1概率密度分布函數(shù)的正值性
3.1.2偽勢(shì)梯度在界面的一致性
3.1.3狀態(tài)方程的奇異點(diǎn)
3.1.4體積黏性系數(shù)的穩(wěn)定作用
3.1.5沿相界面變化的運(yùn)動(dòng)黏性
3.2數(shù)值案例穩(wěn)定性驗(yàn)證
3.2.1靜態(tài)平行相界面案例
3.2.2靜態(tài)液滴案例
3.2.3液滴在薄液層上的濺射
3.3本章小結(jié)
第4章MRT的四階力項(xiàng)展開分析
4.1額外項(xiàng)調(diào)節(jié)偽勢(shì)模型的問題
4.2MRT中額外項(xiàng)的高階余項(xiàng)分析
4.2.1三階項(xiàng)與四階項(xiàng)的展開
4.2.2高階余項(xiàng)對(duì)數(shù)值模擬影響的分析
4.2.3MRT中離散效應(yīng)的跳躍分布
4.3數(shù)值驗(yàn)證
4.3.1平行相界面驗(yàn)證
4.3.2靜態(tài)液滴驗(yàn)證
4.3.3運(yùn)動(dòng)液滴驗(yàn)證
4.4本章小結(jié)
第5章解耦且穩(wěn)定化的MRT算法
5.1本章背景
5.2解耦且穩(wěn)定化的MRT算法推導(dǎo)過程
5.2.1解耦的MRT算法框架
5.2.2穩(wěn)定化方案
5.3標(biāo)準(zhǔn)數(shù)值案例驗(yàn)證
5.3.1平衡態(tài)汽液共存曲線
5.3.2泰勒格林渦流動(dòng)
5.3.3剪切波流動(dòng)
5.3.4穩(wěn)態(tài)泊肅葉流動(dòng)
5.3.5拉普拉斯定律
5.3.6小結(jié)
5.4多相流應(yīng)用案例研究
5.4.1雙液滴對(duì)撞案例
5.4.2液滴濺射案例
5.4.3液滴撞擊固壁案例
5.4.4池式沸騰
5.5本章小結(jié)
第6章總結(jié)與展望
6.1總結(jié)
6.2創(chuàng)新點(diǎn)
6.3展望
參考文獻(xiàn)
在學(xué)期間完成的相關(guān)學(xué)術(shù)成果
致謝
 
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 Interfacecapturing Methods
1.3Book Layout
Chapter 2Mathematical Basics of MRTLBM
2.1Numerical Implementation of MRTLBM
2.2Macroscopic Equations Recovered by MRTLBM
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 4Highorder Analysis of Force Terms in MRTLBM
4.1Existing Problem of Additional Force in SC Model
4.2Highorder Analysis of Additional Force in MRT Scheme
4.2.1Thirdorder and Forthorder Expansions
4.2.2Effect of Highorder 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 MRTLBM
5.1Background
5.2Derivation of Decoupled and Stabilized MRTLBM
5.2.1Framework of Decoupled MRTLBM
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
5.4.1Headon 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
References
Achievements
Acknowledgements