# Arbitrary Lagrangian–Eulerian and Fluid–Structure Interaction

## Numerical Simulation

ISBN: 978184821315

Publication Date: January 2010 Hardback 320 pp.

140.00 USD

eBooks

Description

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. The added mass technique is described first. Following this, for general coupling problems involving large deformation of the structure, the Navier-Stokes equations need to be solved in a moving mesh using an ALE formulation. The main aspects of the fluid structure coupling are then developed. The first and by far simplest coupling method is explicit partitioned coupling. In order to preserve the flexibility and modularity that are inherent in the partitioned coupling, we also describe the implicit partitioned coupling using an iterative process. In order to reduce computational time for large-scale problems, an introduction to the Proper Orthogonal Decomposition (POD) technique applied to FSI problems is also presented. To extend the application of coupling problems, mathematical descriptions and numerical simulations of multiphase problems using level set techniques for interface tracking are presented and illustrated using specific coupling problems.

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.

Contents

1. Introduction to Arbitrary Lagrangian–Eulerian in Finite Element Methods, David J. Benson.

2. Fluid–Structure Interaction: Application to Dynamic Problems, Mhamed Souli.

3. Implicit Partitioned Coupling in Fluid–Structure Interaction, Michael Schäfer.

4. Avoiding Instabilities Caused by Added Mass Effects in Fluid–Structure Interaction Problems, Sergio Idelsohn, Facundo Del Pin and Riccardo Rossi.

5. Multidomain Finite Element Computations: Application to Multiphasic Problems, Thierry Coupez, Hugues Digonnet, Elie Hachem, Patrice Laure, Luisa Silva, Rudy Valette.

About the Authors

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.

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