Fluid-Solid Interaction Dynamics

Fluid-Solid Interaction Dynamics: Theory, Variational Principles, Numerical Methods and Applications gives a comprehensive accounting of fluid-solid interaction dynamics, including theory, numerical methods and their solutions for various FSI problems in engineering. The title provides the fundamental theories, methodologies and results developed in the application of FSI dynamics. Four numerical approaches that can be used with almost all integrated FSI systems in engineering are presented. Methods are linked with examples to illustrate results. In addition, numerical results are compared with available experiments or numerical data in order to demonstrate the accuracy of the approaches and their value to engineering applications.

The title gives readers the state-of-the-art in theory, variational principles, numerical modeling and applications for fluid-solid interaction dynamics. Readers will be able to independently formulate models to solve their engineering FSI problems using information from this book.

• Presents the state-of-the-art in fluid-solid interaction dynamics, providing theory, method and results
• Takes an integrated approach to formulate, model and simulate FSI problems in engineering
• Illustrates results with concrete examples
• Gives four numerical approaches and related theories that are suitable for almost all integrated FSI systems
• Provides the necessary information for bench scientists to independently formulate, model, and solve physical FSI problems in engineering

Scientific researchers in engineering, physical science, applied mathematics and aligned fields working on linear and nonlinear FSI analysis, including: marine and ocean engineers; civil engineers; aeronautical and astronautical engineers; medical and biological engineers; and research students in these fields

1. Introduction
   2. Cartesian Tensor and Matrix Calculus
   3. Fundamentals of Continuum Mechanics
   4. Variational Principles of Linear FSI Systems
   5. Solutions of Some Linear FSI Problems
   6. Preliminaries of Waves
   7. Finite Element Models for Linear FSI Problems
   8. Mixed FE-BE Model for Linear Water-structure Interactions
   9. Hydroelasticity Theory of Ship-water Interactions
   10. Variational principles for nonlinear fluid-solid interactions
   11. Mixed FE – CFD Method for Nonlinear Fluid-solid Interactions
   12. Mixed Finite Element – Smoothed Particle Methods for Nonlinear Fluid-solid Interactions Appendices