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Arbitrary Lagrangian Eulerian and Fluid-Structure Interaction

Numerical Simulation
 E-Book
Sofort lieferbar | Lieferzeit:3-5 Tage I
ISBN-13:
9781118618684
Einband:
E-Book
Seiten:
320
Autor:
M'hamed Souli
eBook Typ:
Adobe Digital Editions
eBook Format:
E-Book
Kopierschutz:
Adobe DRM [Hard-DRM]
Sprache:
Englisch
Beschreibung:

This book provides the fundamental basics for solving fluidstructure interaction problems, and describes different algorithmsand numerical methods used to solve problems where fluid andstructure can be weakly or strongly coupled. These approaches areillustrated with examples arising from industrial or academicapplications. Each of these approaches has its own performance andlimitations. Given the book's comprehensive coverage,engineers, graduate students and researchers involved in thesimulation of practical fluid structure interaction problems willfind this book extremely useful.
Introduction xiMhamed SOULI

Chapter 1. Introduction to ArbitraryLagrangian-Eulerian in Finite Element Methods 1
David J. BENSON

1.1. Introduction 1

1.2. Governing equations 3

1.3. Operator splitting 4

1.4. The Lagrangian step 7

1.5. Mesh relaxation 25

1.6. The Eulerian step 27

1.7. Future research directions 44

1.8. Bibliography 45

Application to Dynamic Problems 51
Mhamed SOULI

2.1. Introduction 51

2.2. General ALE description of Navier-Stokes equations54

2.3. Fluid-structure interaction 57

2.4. Numerical applications 72

Chapter 2. Fluid-Structure Interaction: Application toDynamic Problems 51
Mhamed SOULI

2.5. Conclusion 104

2.6. Acknowledgments 104

2.7. Bibliography 105

Chapter 3. Implicit Partitioned Coupling inFluid-Structure Interaction 109
Michael SCHÄFER

3.1. Introduction 109

3.2. Computational fluid mechanics 110

3.3. Computational structural mechanics 121

3.4. Fluid-structure interaction algorithms 136

3.5. Results and applications 150

3.6. Bibliography 161

Chapter 4. Avoiding Instabilities Caused by Added MassEffects in Fluid-Structure Interaction Problems165
Sergio IDELSOHN, Facundo DEL PIN and Riccardo ROSSI

4.1. Introduction 165

4.2. The discretized equations to be solved in a FSI problem169

4.3. Monolithic solution of the FSI equations by pressuresegregation 174

4.4. Static condensation of the pressure 176

4.5. Evaluation of the Laplace matrix for FSI problems 187

4.6. The partitioned (or staggered) scheme 189

4.7. Numerical examples 195

4.8. Conclusions 215

4.9. Acknowledgments 216

4.10. Bibliography 216

Chapter 5. Multidomain Finite Element Computations:Application to Multiphasic Problems 221
Thierry COUPEZ, Hugues DIGONNET, Elie HACHEM, Patrice LAURE, LuisaSILVA, Rudy VALETTE

5.1. Introduction 221

5.2. Characterization of different phases 228

5.3. Stabilized finite element formulations 240

5.4. Multiphasic problems with fluid-air andfluid-fluid interface 256

5.5. Immersion of solid bodies in fluid 264

5.6. Conclusion 281

5.7. Acknowledgements 282

5.8. Bibliography 282

List of Authors 291

Index 293
This book provides the fundamental basics for solving fluid structure interaction problems, and describes different algorithms and numerical methods used to solve problems where fluid and structure can be weakly or strongly coupled. These approaches are illustrated with examples arising from industrial or academic applications. Each of these approaches has its own performance and limitations. Given the book’s comprehensive coverage, engineers, graduate students and researchers involved in the simulation of practical fluid structure interaction problems will find this book extremely useful. 

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