Moving particle semi-implicit method a meshfree particle method for fluid dynamics

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Hauptverfasser: Koshizuka, Seiichi (VerfasserIn), Shibata, Kazuya (VerfasserIn), Kondo, Masahiro (VerfasserIn), Matsunaga, Takuya (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: London, United Kingdom Elsevier, Academic Press [2018]
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Datensatz im Suchindex

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adam_text CONTENTS Preface ix 1. Introduction 1 1.1 Concept of Particle Methods 1 1.1.1 Lagrangtan Description 2 1.1.2 Meshless Discretization 3 1.1.3 Continuum Mechanics 5 1.2 MPS Method 11 1.2.1 Weighted Difference 11 1.2.2 Particle Interaction Models 12 1.2.3 Semi-implicit Algorithm 16 1.2.4 MPS and SPH 18 1.3 Research History of Particle Methods 20 References 23 2. Fundamental of Fluid Simulation by the MPS Method 25 2.1 The Elements of the MPS Method 26 2.1.1 Setting the Initial Positions of Particles 28 2.1.2 Setting Initial Velocities of Particles 29 2.1.3 How to Move Particles 29 2.1.4 How to Calculate Acceleration of Particles 31 2.2 Basic Theory of the MPS Method 33 2.2.1 Mass of a Particle 33 2.2.2 Governing Equations 35 2.2.2 7 The Navier---Stokes Equations 35 22.2.2 Equation of Continuity 38 2.2.23 Notation by Vectors 39 2.2.3 Particle Number Density and Weight Function 40 223.7 The Standard Particle Number Density n° 42 2.23.2 Relationship Between Particle Number Density and Fluid Density 43 2.23.3 Example of Calculation 44 2.23.4 The Form of a Weight Function 45 2.2.4 Approximation of Partial Differential Operators 45 2.2.4.7 Gradient 46 2.2.42 The Gradient Model of the MPS Method (Nabla Model) 46 V vi Contents 2.2.43 The Meaning of Each Parts of the Gradient Model 47 2.2.4A Example of Gradient Calculation 51 2.2.4.5 Laplacian Operator and Its Uses 53 2.2.4.6 The Laplacian Mode1 of the MPS Method 53 2.2.5 Semi-implicit Method 57 2.2.5.7 How to Calculate Pressure, and the Necessity of the Semi-implicit Method 57 2.2.5.2 The Outline of the Semi-implicit Method in the MPS Method 59 2.2.53 Details of the Semi-implicit Method of the MPS Method 61 2.2.5A Derivation of Pressure Poison Equation of the MPS Method 68 2.2.53 How to Calculate the Pressure Poisson Equation 70 2.23.6 The Boundary Condition of Pressure 73 2.23.7 The Boundary Condition of Velocity 74 2.3 Outline of Simulation Programs 74 2.3.1 Contents of Program 74 2.3.2 How to Compile and Execute the Sample Programs 84 2.3.3 How to Visualize the Simulation Result 85 2.3.4 Functions of the Program 86 2.3A. 1 Libraries and Declarations 86 23.4.2 Main Function 88 23.4.3 initiaiizeParticlePositionA ndVeiocity_for 2dim( ) Function 88 23.4.4 calculateNZeroAndLambdaf) Function 90 2.3.43 weigh t() Function 90 23.4.6 mainLoopOfSimulation() Function 91 23.4.7 calculateGravity Function 93 23.4.8 calculateViscosity Function 93 23.4.9 moveParticle() Function 95 23.4.10 calcuiatePressuref) Function 95 2.3.4.7 7 caicuiateNumberDensity() Function 96 23.4.12 setBoundaryConditionf) Function 97 23A. 13 setSourceTerm() Function 98 23.4.14 setMatrixf) Function 98 2.3.4.15 solveSimultaniousEquationsBy GaussianElimination() Function 99 23.4.16 caiculatePressureGradientf) Function 100 23.4.17 calculatePressure_forExplicitMPS() Function 101 2.3.4.18 caiculatePressureGradient_forExplicitMPS() Function 102 2.4 Exercise of Simulation 103 2.4.1 Exercises 103 2.5 Hints of Exercises 104 2.6 Frequently Asked Questions 105 Contents vii 2.6.1 What Is the Best Effective Radius of the Interaction Zone? 105 2.6.2 Why Do We Need to Arrange Dummy Wall Particles Behind Wall Particles? 105 2.6.3 Particles Penetrated a Wall: What Is the Possible Reason? 106 2.6.4 How Do We Set the Time Increment At? 106 2.6.5 It Seems Simulation Diverged Because Particles Exploded: What Is the Reason? 107 2.6.6 Fluid Was Compressed: What Is the Reason? 107 2.6.7 How Can We Add a Function of Inlet or Outlet Boundary in a Simulation Program? 107 2.6.8 What Is the Most Time-Consuming Part in an MPS Simulation? 108 2.6.9 What Are the Drawbacks and the Strong Points of the Semi-implicit Method? 108 References 108 3. Extended Algorithms 111 3.1 Compressible-Incompressible Unified Algorithm 111 3.2 Explicit Algorithm Using Pseudo-Compressibility 118 3.3 Symplectic Scheme 125 3.4 Arbitrary Lagrangian-Eulerian 134 3.5 Rigid Body Model 140 3.6 Structural Analysis 146 References 150 Further Reading 153 4. Boundary Conditions 155 4.1 Introduction 155 4.2 Solid Wall 159 4.2.1 Wall Particle Representation 162 4.2.2 Mirror Particle Representation 168 4.2.3 Distance Function—Based Polygon Representation 176 4.2.4 Boundary Integral—Based Polygon Representation 180 4.3 Free Surface 189 4.3.1 Free-Surface Particle Detection 193 4.3.2 Pressure Calculation 200 4.4 Inlet and Outlet Boundary Modeling 207 References 212 Contents viii 5. Surface Tension Models in Particle Methods 217 5.1 Surface Tension Calculation Using CSF Continuum Equation 218 5.1.1 CSF-Based Mode! Proposed by Nomura et aJ. (2001) 218 5.1.2 Other Surface Tension Models Based on CSF Equation 222 5.2 Surface Tension Calculation Based on a Pairwise Potential 223 5.2.1 Potential-Based Model Proposed by Kondo et al. (2007a,b) 224 5.2.2 Further Improvement of the Potential-Based Approach 227 5.2.3 Wettability Calculation in the Potential Model 227 5.3 Applications of the Surface Tension Models Using the MPS Method 229 References 231 6. Advanced Techniques 233 6.1 Liquid—Solid Phase Change Mode! 233 6.2 Gas—Liquid Two-Phase Flow and Phase Change Model 236 6.3 Turbulence 242 6.4 Suppression of Pressure Fluctuations 245 6.5 Higher-Order Schemes 247 6.6 Parallel Computing 250 6.7 Multiresolutions 254 6.8 V V and Applications 259 6.8.1 Verification and Validation 259 6.8.2 Application to Automobile Industry 260 6.8.3 Application to Chemical Engineering 265 6.8.4 Application to Metal Engineering 268 6.8.5 Application to Biomechanics 270 References 273 Index 281 Moving Particle TM Semi-implicit Method eshfree Particle Seiichi Koshizuka, Kazuya Shibata, Masahiro Kondo, Takuya Matsunaga The perfect guide to understanding and using the Moving Particle Semi- Implicit (MPS) Method. Moving Particle Semi-implicit Method: A Meshfree Particle Method for Fluid Dynamics first builds up basic theory that supports the reader through the following sections on advanced MPS methods. The unique insights that this method provides on phenomena including fluid-structure interaction, non-Newtonian flow, and multiphase flow give it relevance to a wide range of applications in mechanical, structural, nuclear, and bioengineering. Written by leading experts in the field, this book details the differences between MPS and SPH, helping readers choose between the methods for different purposes. It also provides pieces of computer code for use in simulations, and provides the full extended algorithms. + For researchers, engineers, and postgraduates with an interest in computational fluid dynamics and meshfree particle methods, this book is a valuable reference resource as it explores the use of MPS in a range of industries and applications. ACADEMIC PRESS An imprint of Elsevier elsevier.com/books-and-joumals FLUID MECHANICS ISBN 978-0-12-812779-7 9 780128 127797
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Shibata, Kazuya
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Matsunaga, Takuya
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Moving particle semi-implicit method a meshfree particle method for fluid dynamics
title Moving particle semi-implicit method a meshfree particle method for fluid dynamics
title_auth Moving particle semi-implicit method a meshfree particle method for fluid dynamics
title_exact_search Moving particle semi-implicit method a meshfree particle method for fluid dynamics
title_full Moving particle semi-implicit method a meshfree particle method for fluid dynamics Seiichi Koshizuka, Kazuya Shibata, Masahiro Kondo, Takuya Matsunaga
title_fullStr Moving particle semi-implicit method a meshfree particle method for fluid dynamics Seiichi Koshizuka, Kazuya Shibata, Masahiro Kondo, Takuya Matsunaga
title_full_unstemmed Moving particle semi-implicit method a meshfree particle method for fluid dynamics Seiichi Koshizuka, Kazuya Shibata, Masahiro Kondo, Takuya Matsunaga
title_short Moving particle semi-implicit method
title_sort moving particle semi implicit method a meshfree particle method for fluid dynamics
title_sub a meshfree particle method for fluid dynamics
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