格子玻尔兹曼浸没边界法在动边界容器颗粒沉降中的应用
发布时间：2021-11-05 19:02
颗粒沉降的计算流体动力学(CFD)模拟在工程过程中的成本效益性能预测方面以及预测自然现象来降低潜在的损害风险方面中起到至关重要的作用。大多数CFD研究者由于建模的困难或者认为无关紧要而没有考虑边界的运动。格子玻尔兹曼方法(LBM)以其在复杂几何形状模型中的计算效率而闻名。它在移动边界问题中的应用需要与适当的方法耦合来提高其计算性能和精确度。因此,本文发展构建了一种混合方法,将流体求解与固体结构求解器解耦,以使其适合在多核处理器上实现并行计算。该方法结合了 LBM、浸没边界法(IBM)以及硬球分子动力学(HSMD)模型。斯托克斯的阻力计算采用基于IBM的动量交换来实现水动力的相互作用,避免了迭代计算。HSMD模型对离散粒子的运动学和轨迹进行了评估。单颗粒的三维(3D)沉降模拟算例被认为是一个基准,模拟结果与解析解和前人的终端粒子速度的实验结果吻合较好。新提出的方法用于模拟由谐波振荡的弹性矩形容器引起的封闭流动。根据薄板线弹性变形理论计算边界位移所用的解析变形方程。混合的LB-IBM方法能捕捉刚性边界壁面与封闭的含有颗粒流体的动力学响应之间的耦合关系。结果表明,沉降和颗粒位置对边界振幅和流...
【文章来源】： 大连理工大学辽宁省 211工程院校 985工程院校 教育部直属院校
【文章页数】：210 页
【文章目录】：
摘要
Abstract
1 Introduction
1.1 Background
1.2 Objectives
2 Numerical Methods
2.1 Lattice Boltzmann Method
2.1.1 Evolution of Lattice Boltzmann Method
2.1.2 Distribution Functions
2.1.3 Velocity Space
2.1.4 Boltzmann Equation
2.1.5 BGK Collision Operator
2.2 Discrete Boltzmann equation from the Boltzmann equation
2.2.1 The equilibrium distribution function for D3Q19 lattice model
2.3 Lattice-Boltzmann equation from the Boltzmann equation
2.3.1 Approximate Maxwell-Boltzmann Distribution Function
2.3.2 Equilibrium distribution for D2Q9 Lattice Model
2.4 Details on the Lattice Boltzmann method
2.4.1 Chapman-Enskog expansion
2.4.2 Computational Sequence
2.4.3 Inclusion of external forces to the LBM
2.5 Incompressible assumption
2.6 Conversion of units between physical and Lattice quantities
2.7 Parametrization of force
2.8 The Bounce-Back Boundary condition
2.9 Interaction between Solid-Fluid Boundary
2.10 Immersed Boundary Method
2.10.1 Coupling of Fluid and Immersed Object
2.10.2 Hydrodynamics Interaction Force
2.11 Particle Equation of Motion
2.11.1 Hard Sphere Molecular Dynamics (HSMD) Modeling
2.11.2 Lubrication Forces
2.11.3 Hard sphere kinematics
3 Particle Sedimentation Using Hybrid LBM-IBM Scheme
3.1 Introduction
3.2 Summary of the Lattice-Boltzmann Method
3.3 Immersed Boundary Method and the Hydrodynamics Interaction Force
3.3.1 Particle Hydrodynamic Force
3.3.2 Force Density from the Cuboid Walls
3.3.3 Solid-Fluid Interaction Force Modification
3.3.4 Slip Velocity
3.3.5 Porosity
3.4 Numerical results and discussions
3.4.1 Numerical Set Up of a Single Particle Sedimentation in a Cavity
3.4.1.1 Particle Velocity and Trajectory
3.4.1.2 Flow field and wake structure
3.4.2 Sedimentation of 7200 Spherical Particles in a Newtonian Fluid
3.5 Chapter Summary
4 Transverse Harmonic Oscillation of Container Walls and the Influence on Particle-Laden Newtonian Fluid: an LBM-IBM Approach
4.1 Introduction
4.2 Problem Formulation and Numerical Model
4.2.1 Forced Vibration of a Clamped Lamina
4.2.2 Fluid-Lamina Interaction Model
4.3 Simulation Method
4.3.1 Boundary Condition and Force Density on a Stationary Wall
4.3.2 Boundary Condition and Force Density on an Oscillating Wall
4.3.3 Point-Particle Immersed Boundary Model
4.3.3.1 Particle Hydrodynamic Force
4.3.3.2 Wall Hydrodynamic Force
4.3.4 The Finite Wall Model
4.3.4.1 Contact Detection
4.3.4.2 Contact Resolution
4.3.5 Particle Model and Kinematics
4.3.6 Model Error Comparison
4.4 Configuration and Parameter Setup
4.4.1 Flow Through a Channel
4.4.2 Stationary Fluid in an Oscillating Cube
4.4.3 Single and Multiparticle Settling in a Rectangular Box
4.5 Numerical Results and Discussions
4.5.1 Flow Through Stationary Channel Walls
4.5.2 Grid Convergence Study
4.5.3 An External Force Governed FSI
4.5.3.1 Flow Dynamics in an Oscillatory Wall
4.5.3.2 Structure of the Velocity Field
4.5.3.3 Effect of Force Oscillation Frequency
4.5.4 Single Particle Sedimentation in a Cubic Box
4.5.5 Multiparticle Sedimentation
4.5.5.1 Particle Dynamics in a Stationary Wall
4.5.5.2 Particle Dynamics within an Oscillating Boundary
4.5.6 Particles Flow Parameters
4.5.6.1 Settling Velocity
4.5.6.2 Velocity fluctuations
4.5.6.3 Averaged flow properties
4.6 Chapter Summary
5 Influence of Wall Motion on Particle Sedimentation Using Hybrid LB-IBM Scheme
5.1 Introduction
5.2 Motivation
5.3 Immersed Boundary Model
5.4 Model and Parameter Setup of an Oscillating Rectangular Container
5.5 Numerical results and discussions
5.5.1 Effect of Side Walls Horizontal Motion
5.5.2 Effect of Horizontal Walls Vertical Oscillatory Motion
5.5.3 Sinusoidal oscillations of a rectangular box filled with spherical particles
5.5.4 Effects of wall Motion on Many Particle Sedimentation
5.5.5 Distribution of Particles Concentration
5.5.5.1 Settling Velocity
5.5.5.2 Velocity fluctuations
5.5.5.3 Temporal structure of the dispersed phase
5.6 Chapter Summary
6 Conclusions and Future Outlook
6.1 Conclusion
6.1.1 Conclusion for Chapter 3
6.1.2 Conclusion for Chapter 4
6.1.3 Conclusion for Chapter 5
6.2 Innovation
6.3 Outlook
References
Appendix
Publications
Acknowledgement
【参考文献】：
期刊论文
[1]Influence of wall motion on particle sedimentation using hybrid LB-IBM scheme [J]. Mussie A.Habte,ChuiJie Wu. Science China(Physics,Mechanics & Astronomy). 2017(03)
[2]Mechanical behavior of pathological and normal red blood cells in microvascular flow based on modified level-set method [J]. XiWen Zhang,FangChao Ma,PengFei Hao,ZhaoHui Yao. Science China(Physics,Mechanics & Astronomy). 2016(01)
[3]Numerical simulation of powder transport behavior in laser cladding with coaxial powder feeding [J]. LIU Hao,HE XiuLi,YU Gang,WANG Zhong Bin,LI ShaoXia,ZHENG CaiYun,NING WeiJian. Science China(Physics,Mechanics & Astronomy). 2015(10)
[4]Numerical simulation of particle sedimentation in 3D rectangular channel [J]. 刘马林. Applied Mathematics and Mechanics(English Edition). 2011(09)
[5]Large-eddy simulation of formation of three-dimensional aeolian sand ripples in a turbulent field [J]. WU ChuiJie1,WANG Ming2 & WANG Liang3 1 State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian 116024,China;2 Yellow River Institute of Hydraulic Research,Zhengzhou 450003,China;3 Research Center for Fluid Dynamics,Science School,PLA University of Science and Technology,Nanjing 211101,China. Science in China(Series G:Physics,Mechanics & Astronomy). 2008(08)
本文编号：3478339
【文章来源】： 大连理工大学辽宁省 211工程院校 985工程院校 教育部直属院校
【文章页数】：210 页
【文章目录】：
摘要
Abstract
1 Introduction
1.1 Background
1.2 Objectives
2 Numerical Methods
2.1 Lattice Boltzmann Method
2.1.1 Evolution of Lattice Boltzmann Method
2.1.2 Distribution Functions
2.1.3 Velocity Space
2.1.4 Boltzmann Equation
2.1.5 BGK Collision Operator
2.2 Discrete Boltzmann equation from the Boltzmann equation
2.2.1 The equilibrium distribution function for D3Q19 lattice model
2.3 Lattice-Boltzmann equation from the Boltzmann equation
2.3.1 Approximate Maxwell-Boltzmann Distribution Function
2.3.2 Equilibrium distribution for D2Q9 Lattice Model
2.4 Details on the Lattice Boltzmann method
2.4.1 Chapman-Enskog expansion
2.4.2 Computational Sequence
2.4.3 Inclusion of external forces to the LBM
2.5 Incompressible assumption
2.6 Conversion of units between physical and Lattice quantities
2.7 Parametrization of force
2.8 The Bounce-Back Boundary condition
2.9 Interaction between Solid-Fluid Boundary
2.10 Immersed Boundary Method
2.10.1 Coupling of Fluid and Immersed Object
2.10.2 Hydrodynamics Interaction Force
2.11 Particle Equation of Motion
2.11.1 Hard Sphere Molecular Dynamics (HSMD) Modeling
2.11.2 Lubrication Forces
2.11.3 Hard sphere kinematics
3 Particle Sedimentation Using Hybrid LBM-IBM Scheme
3.1 Introduction
3.2 Summary of the Lattice-Boltzmann Method
3.3 Immersed Boundary Method and the Hydrodynamics Interaction Force
3.3.1 Particle Hydrodynamic Force
3.3.2 Force Density from the Cuboid Walls
3.3.3 Solid-Fluid Interaction Force Modification
3.3.4 Slip Velocity
3.3.5 Porosity
3.4 Numerical results and discussions
3.4.1 Numerical Set Up of a Single Particle Sedimentation in a Cavity
3.4.1.1 Particle Velocity and Trajectory
3.4.1.2 Flow field and wake structure
3.4.2 Sedimentation of 7200 Spherical Particles in a Newtonian Fluid
3.5 Chapter Summary
4 Transverse Harmonic Oscillation of Container Walls and the Influence on Particle-Laden Newtonian Fluid: an LBM-IBM Approach
4.1 Introduction
4.2 Problem Formulation and Numerical Model
4.2.1 Forced Vibration of a Clamped Lamina
4.2.2 Fluid-Lamina Interaction Model
4.3 Simulation Method
4.3.1 Boundary Condition and Force Density on a Stationary Wall
4.3.2 Boundary Condition and Force Density on an Oscillating Wall
4.3.3 Point-Particle Immersed Boundary Model
4.3.3.1 Particle Hydrodynamic Force
4.3.3.2 Wall Hydrodynamic Force
4.3.4 The Finite Wall Model
4.3.4.1 Contact Detection
4.3.4.2 Contact Resolution
4.3.5 Particle Model and Kinematics
4.3.6 Model Error Comparison
4.4 Configuration and Parameter Setup
4.4.1 Flow Through a Channel
4.4.2 Stationary Fluid in an Oscillating Cube
4.4.3 Single and Multiparticle Settling in a Rectangular Box
4.5 Numerical Results and Discussions
4.5.1 Flow Through Stationary Channel Walls
4.5.2 Grid Convergence Study
4.5.3 An External Force Governed FSI
4.5.3.1 Flow Dynamics in an Oscillatory Wall
4.5.3.2 Structure of the Velocity Field
4.5.3.3 Effect of Force Oscillation Frequency
4.5.4 Single Particle Sedimentation in a Cubic Box
4.5.5 Multiparticle Sedimentation
4.5.5.1 Particle Dynamics in a Stationary Wall
4.5.5.2 Particle Dynamics within an Oscillating Boundary
4.5.6 Particles Flow Parameters
4.5.6.1 Settling Velocity
4.5.6.2 Velocity fluctuations
4.5.6.3 Averaged flow properties
4.6 Chapter Summary
5 Influence of Wall Motion on Particle Sedimentation Using Hybrid LB-IBM Scheme
5.1 Introduction
5.2 Motivation
5.3 Immersed Boundary Model
5.4 Model and Parameter Setup of an Oscillating Rectangular Container
5.5 Numerical results and discussions
5.5.1 Effect of Side Walls Horizontal Motion
5.5.2 Effect of Horizontal Walls Vertical Oscillatory Motion
5.5.3 Sinusoidal oscillations of a rectangular box filled with spherical particles
5.5.4 Effects of wall Motion on Many Particle Sedimentation
5.5.5 Distribution of Particles Concentration
5.5.5.1 Settling Velocity
5.5.5.2 Velocity fluctuations
5.5.5.3 Temporal structure of the dispersed phase
5.6 Chapter Summary
6 Conclusions and Future Outlook
6.1 Conclusion
6.1.1 Conclusion for Chapter 3
6.1.2 Conclusion for Chapter 4
6.1.3 Conclusion for Chapter 5
6.2 Innovation
6.3 Outlook
References
Appendix
Publications
Acknowledgement
【参考文献】：
期刊论文
[1]Influence of wall motion on particle sedimentation using hybrid LB-IBM scheme [J]. Mussie A.Habte,ChuiJie Wu. Science China(Physics,Mechanics & Astronomy). 2017(03)
[2]Mechanical behavior of pathological and normal red blood cells in microvascular flow based on modified level-set method [J]. XiWen Zhang,FangChao Ma,PengFei Hao,ZhaoHui Yao. Science China(Physics,Mechanics & Astronomy). 2016(01)
[3]Numerical simulation of powder transport behavior in laser cladding with coaxial powder feeding [J]. LIU Hao,HE XiuLi,YU Gang,WANG Zhong Bin,LI ShaoXia,ZHENG CaiYun,NING WeiJian. Science China(Physics,Mechanics & Astronomy). 2015(10)
[4]Numerical simulation of particle sedimentation in 3D rectangular channel [J]. 刘马林. Applied Mathematics and Mechanics(English Edition). 2011(09)
[5]Large-eddy simulation of formation of three-dimensional aeolian sand ripples in a turbulent field [J]. WU ChuiJie1,WANG Ming2 & WANG Liang3 1 State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian 116024,China;2 Yellow River Institute of Hydraulic Research,Zhengzhou 450003,China;3 Research Center for Fluid Dynamics,Science School,PLA University of Science and Technology,Nanjing 211101,China. Science in China(Series G:Physics,Mechanics & Astronomy). 2008(08)
本文编号：3478339
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