Fundamentals of fluid-solid interactions : analytical and computational approaches

• Main Author: Wang, Xiaodong Sheldon
• Format: eBook Book
• Language: English
• Published: Amsterdam Elsevier 2008; Elsevier Science & Technology; Elsevier Science
• Edition: 1
• Series: Monograph series on nonlinear science and complexity
• Subjects: Fluid-structure interaction; Fluid-structure interaction - Mathematical models
• ISBN: 9780444528070; 0444528075

This book focuses on the computational and theoretical approaches to the coupling of fluid mechanics and solids mechanics.In particular, nonlinear dynamical systems are introduced to the handling of complex fluid-solid interaction systems, For the past few decades, many terminologies have been intro...

Table of Contents:

• Front cover -- Fundamentals of Fluid-Solid Interactions: Analytical and Computational Approaches -- Copyright page -- Preface -- Contents -- Chapter 1. Introduction -- 1.1. Historical background -- 1.2. Motivation -- 1.3. Outline -- Chapter 2. Aspects of Mathematics and Mechanics -- 2.1. Preliminary concepts and notations -- 2.2. Kinematical descriptions and conservation laws -- 2.3. Some mathematical tools -- Chapter 3. Dynamical Systems -- 3.1. Single- and multi-degree of freedom systems -- 3.2. Lyapunov-Schmidt method -- 3.3. Basin of attractions and control of chaos -- Chapter 4. Flow-Induced Vibrations -- 4.1. Attenuator and flutter suppression -- 4.2. Stability issues of axial flow models -- 4.3. Dynamics of thin structures -- Chapter 5. Boundary Integral Approaches -- 5.1. Underlying physics and formulations -- 5.2. Green's functions and boundary integrals -- 5.3. FSI systems with potential flows -- Chapter 6. Computational Linear Models -- 6.1. Potential and displacement-based formulations -- 6.2. Solution procedures and convergence issues -- Chapter 7. Computational Nonlinear Models -- 7.1. Upwind and stabilization -- 7.2. Nonlinear finite element formulations for FSI systems -- 7.3 Immersed methods -- References -- Subject Index