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基于高阶有限差分法的管道瞬态特性研究

摘要第4-5页
ABSTRACT第5-6页
CONTENTS第7-10页
LIST OF FIGURES第10-11页
LIST OF TABLES第11-12页
CHAPTER 1 Introduction and Literature Survey第12-35页
    1.1 General Introduction第12-16页
        1.1.1 Fluid-Structure Interaction第12-13页
        1.1.2 The Discretization Method第13-16页
    1.2 Computational Methods for Fluid Structure Interaction第16-18页
    1.3 Transient Pressure第18-23页
    1.4 Pipe Conveying Fluid第23-32页
    1.5 The objective第32-33页
    1.6 Organization of the Thesis第33-35页
CHAPTER 2 Governing Equations第35-49页
    2.1 Introduction第35页
    2.2 Classical water hammer theory第35-38页
        2.2.1 Boundary Conditions第37-38页
    2.3 The Equation of Motion for the Pipe and the Fluid第38-45页
        2.3.1 The Equation of Motion for the Pipe第38-42页
        2.3.2 The Coupled Water Hammer Equation第42-45页
    2.4 The Fluid Governing Equations第45-47页
    2.5 Discussion第47-49页
CHAPTER 3 High Order Finite Difference Method第49-61页
    3.1 Introduction第49-51页
        3.1.1 The Basic Finite Difference Definition第49-50页
        3.1.2 High Order Finite Difference Method第50-51页
    3.2 Maximum order of accuracy scheme第51-52页
    3.3 General Methods for Finite Difference Formulas第52-53页
    3.4 The first order derivatives formula第53页
    3.5 High Order Derivative第53-54页
    3.6 Generation of difference formulas for first derivatives第54-59页
        3.6.1 The first order of accuracy formula第55-56页
        3.6.2 High order of accuracy formula第56-59页
    3.7 The Order of Accuracy Comparison第59-61页
CHAPTER 4 Experimental and Numerical Simulation第61-105页
    4.1 Introduction第61-62页
    4.2 The Solution Algorithms第62-78页
        4.2.1 Algorithm 1第62-63页
        4.2.2 Algorithm 2第63-66页
        4.2.3 Numerical Investigation第66-68页
        4.2.4 Experimental Investigation第68-78页
    4.3 Numerical Example1第78-87页
        4.3.1 The model Verification第78-81页
        4.3.2 The effect of the Velocity on the displacement第81-82页
        4.3.3 The effect of the ratio DL on the displacement第82-84页
        4.3.4 The effect of the ratio hD on the displacement第84-86页
        4.3.5 The effect of the pipe diameter D on the displacement第86-87页
    4.4 Numerical Example 2第87-98页
        4.4.1 The critical fluid velocity by the two algorithms第88-91页
        4.4.2 The effect of hD&DL ratio on the critical velocity and dislacement第91-96页
        4.4.3 The effect of fluid density on the critical velocity and displacement第96-98页
    4.5 The Initial excitation Investigation第98-105页
CHAPTER 5 CONCLUSION AND FUTURE WORK第105-108页
    5.1 Conclusion第105-106页
    5.2 Trend for Future Work第106-108页
REFERENCES第108-115页
ACKNOWLEDGEMENT第115-116页
PUBLISHED PAPERS第116页

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