Abstract i
中文摘要 ii
Acknowledgement iii
List of Figure vi
List of Table xi
Nomenclature xii
CHAPTER I. Introduction 1
1.1 Motivation of the study 1
1.2 Aquatic animal locomotion 2
1.3 Fluid-structure interaction problem and its CFD strategy 7
1.4 Lattice Boltzmann Method for FSI Problem 8
1.5 Objective 9
CHAPTER II. Theory of Lattice Boltzmann Method 10
2.1 Brief History : from Boltzmann Equation to Lattice Boltzmann Method 10
2.2 Overview in Lattice Boltzmann Method 12
2.3 Equilibrium distribution function 14
2.4 Kinetic limit of Lattice Boltzmann equation ( based on Sbragalia and Succi [36]) 18
2.5 Technique of Chapman-Enskog expansion 24
2.6 A bounce-back based Immersed Boundary Lattice Boltzmann method 30
2.7 Force evaluation 33
CHAPTER III. Numerical Test 36
3.1 The applicability and order analysis over IB-LBM 37
3.1.1 Formation of Couette Flow 37
3.1.2 Flow above an oscillating infinite plate 39
3.2 The flow characteristics compared with physical experiments 42
3.2.1 Two-Dimensional flow past a fixed circular cylinder 42
3.2.2 Three-Dimensional flow past a fixed sphere 53
3.3 Accelerating pitching airfoil in constant freestream 54
3.4 Flow around the oscillatory motion of an airfoil 59
3.4.1 Oscillatory Pitching Airfoil in the Wind Tunnel 59
3.4.2 Plunging Airfoil in the Box 63
3.4.2 Plunging Airfoil in the Wind Tunnel 67
3.5 Undulatory fish motion (traveling-wavy foil) 70
CHAPTER IV. Swimming-Fish Simulation 75
4.1 Power consumption and the efficiency 75
4.2 The testing domain and parameters setting 77
4.3 Secant shooting method for equilibrium finding 79
4.4 Optimization of single-fish swimming 81
4.5 A follow-the-leader mechanism and the efficiency test 85
4.5.1 The modified mechanism 85
4.5.2 Overview of the parameter 86
4.5.3 Parameter study : phase difference Δθ 88
4.5.3 Parameter study : the following distance L 92
4.5.4 Parameter study : the channeling distance D 96
CHAPTER V. Conclusion 101
Reference 104
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