Fluid-structures Interactions

Klappentext 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. Zusammenfassung 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. Inhaltsverzeichnis Introduction xiMhamed SOULIChapter 1. Introduction to Arbitrary Lagrangian-Eulerian in Finite Element Methods 1David J. BENSON1.1. Introduction 11.2. Governing equations 31.3. Operator splitting 41.4. The Lagrangian step 71.5. Mesh relaxation 251.6. The Eulerian step 271.7. Future research directions 441.8. Bibliography 45Application to Dynamic Problems 51Mhamed SOULI2.1. Introduction 512.2. General ALE description of Navier-Stokes equations 542.3. Fluid-structure interaction 572.4. Numerical applications 72Chapter 2. Fluid-Structure Interaction: Application to Dynamic Problems 51Mhamed SOULI2.5. Conclusion 1042.6. Acknowledgments 1042.7. Bibliography 105Chapter 3. Implicit Partitioned Coupling in Fluid-Structure Interaction 109Michael SCHÄFER3.1. Introduction 1093.2. Computational fluid mechanics 1103.3. Computational structural mechanics 1213.4. Fluid-structure interaction algorithms 1363.5. Results and applications 1503.6. Bibliography 161Chapter 4. Avoiding Instabilities Caused by Added Mass Effects in Fluid-Structure Interaction Problems 165Sergio IDELSOHN, Facundo DEL PIN and Riccardo ROSSI4.1. Introduction 1654.2. The discretized equations to be solved in a FSI problem 1694.3. Monolithic solution of the FSI equations by pressure segregation 1744.4. Static condensation of the pressure 1764.5. Evaluation of the Laplace matrix for FSI problems 1874.6. The partitioned (or staggered) scheme 1894.7. Numerical examples 1954.8. Conclusions 2154.9. Acknowledgments 2164.10. Bibliography 216Chapter 5. Multidomain Finite Element Computations: Application to Multiphasic Problems 221Thierry COUPEZ, Hugues DIGONNET, Elie HACHEM, Patrice LAURE, Luisa SILVA, Rudy VALETTE5.1. Introduction 2215.2. Characterization of different phases 2285.3. Stabilized finite element formulations 2405.4. Multiphasic problems with fluid-air and fluid-fluid interface 2565.5. Immersion of solid bodies in fluid 2645.6. Conclusion 2815.7. Acknowledgements 2825.8. Bibliography 282List of Authors 291Index 293...

List of contents

Introduction xi
Mhamed SOULI
 
Chapter 1. Introduction to Arbitrary Lagrangian-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 equations 54
 
2.3. Fluid-structure interaction 57
 
2.4. Numerical applications 72
 
Chapter 2. Fluid-Structure Interaction: Application to Dynamic Problems 51
Mhamed SOULI
 
2.5. Conclusion 104
 
2.6. Acknowledgments 104
 
2.7. Bibliography 105
 
Chapter 3. Implicit Partitioned Coupling in Fluid-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 Mass Effects in Fluid-Structure Interaction Problems 165
Sergio IDELSOHN, Facundo DEL PIN and Riccardo ROSSI
 
4.1. Introduction 165
 
4.2. The discretized equations to be solved in a FSI problem 169
 
4.3. Monolithic solution of the FSI equations by pressure segregation 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, Luisa SILVA, 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 and fluid-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

About the author

Mhamed Souli is Professor of computational mechanics at Lille University in France. His research and development interests include fluid structure interaction, CFD with emphasis on multiphase flow and coupling with structures, and their applications to industrial problems. David J. Benson is Professor of Computational Mechanics in the Department of Structural Engineering at the University of California, San Diego. He is a Fellow of the American Physical Society, American Society of Mechanical Engineers, and the US Association of Computational Mechanics. He serves on the editorial board of the International Journal of Solids and Structures.

Summary

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.

Product details

• Authors: David J. Benson, SOULI, M Souli, Mhamed Souli, M'hamed Souli
• Assisted by: David J. Benson (Editor), J Benson (Editor), J Benson (Editor), M'hame Souli (Editor), Mhamed Souli (Editor), M'hamed Souli (Editor)
• Publisher: Wiley, John and Sons Ltd
• Languages: English
• Product format: Hardback
• Released: 07.01.2010
• EAN: 9781848211315
• ISBN: 978-1-84821-131-5
• No. of pages: 352
• Series: ISTE; ISTE
• Subjects: Natural sciences, medicine, IT, technology > Technology > Structural and environmental engineering; Baustatik, Bauingenieur- u. Bauwesen, Civil Engineering & Construction, Baustatik u. Baumechanik, Structural Theory & Structural Mechanics, Baumechanik