Fluid-Structure Interaction - An Introduction to Finite Element Coupling

Informationen zum Autor Jean-François SIGRIST, DCNS Research, France. Klappentext Fluid-Structure Interaction: An Introduction to Finite Element Coupling fulfils the need for an introductive approach to the general concepts of Finite and Boundary Element Methods for FSI, from the mathematical formulation to the physical interpretation of numerical simulations. Based on the author's experience in developing numerical codes for industrial applications in shipbuilding and in teaching FSI to both practicing engineers and within academia, it provides a comprehensive and self-contained guide that is geared toward both students and practitioners of mechanical engineering. Composed of six chapters,Fluid-Structure Interaction: An Introduction to Finite Element Coupling progresses logically from formulations and applications involving structure and fluid dynamics, fluid and structure interactions and opens to reduced order-modelling for vibro-acoustic coupling. The author describes simple yet fundamental illustrative examples in detail, using analytical and/or semi-analytical formulation & designed both to illustrate each numerical method and also to highlight a physical aspect of FSI. All proposed examples are simple enough to be computed by the reader using standard computational tools such as MATLAB, making the book a unique tool for self-learning and understanding the basics of the techniques for FSI, or can serve as verification and validation test cases of industrial FEM/BEM codes rendering the book valuable for code verification and validation purposes. Zusammenfassung Fluid-Structure Interaction: An Introduction to Finite Element Coupling fulfils the need for an introductive approach to the general concepts of Finite and Boundary Element Methods for FSI, from the mathematical formulation to the physical interpretation of numerical simulations. Inhaltsverzeichnis Foreword vPreface viiImages Credits ix1 Fluid-Structure Interaction 11.1 A wide variety of problems 21.2 Analytical modelling of Fluid-Structure Interactions 31.2.1 Potential flow. Inertial coupling 41.2.2 Viscous flow. Viscous damping 81.2.3 Compressible flow. Radiation damping 101.3 Numerical simulation of Fluid-Structure Interactions 141.4 Finite element and boundary element methods 24References 252 Structure Finite Elements 272.1 Vibrations of an elastic structure 282.1.1 Modelling assumptions 282.1.2 Equations of motion 362.2 Finite Element Method: practical implementation 382.2.1 Weighted integral formulation 382.2.2 Finite elements 402.2.3 Elementary matrices 432.2.4 Mass and stiffness matrices 442.2.5 Calculating and assembling matrices 492.2.6 Modal analysis 542.3 Example: bending modes 572.3.1 Bending motion of a straight elastic beam 572.3.2 Bernoulli beam elements 582.3.3 Bending modes 622.4 Example : coupled bending/membrane modes 662.4.1 Bending and membrane motion of a circular elastic ring 662.4.2 Fourier component representation: 0D element 672.4.3 Bending/membrane modes 69References 793 Fluid Finite Elements 813.1 Fluid flow equations 823.2 Compressibility waves 913.2.1 Wave equation 913.2.2 Boundary conditions 953.3 Finite element method 1033.3.1 Pressure-based formulation 1033.3.2 Displacement-based formulations 1083.3.3 Finite element matrices 1113.4 Boundary element method 1133.4.1 Green function and Green's integral theorem 1133.4.2 Interior and exterior problems 1143.4.3 Direct and indirect boundary element method 1163.4.4 Boundary element matrices 1203.5 Example: Sloshing modes 1213.5.1 Circular reservoir with fluid free surface 1213.5.2 2D axi-symmetric elements with gravity 1243.5.3 Sloshing modes 1263.6 Example: Acoustic modes in an open reservoir 1283.6.1 Cylindrical acoustic opened cavity 1283.6.2 2D axi-symmetric elements with compressibility 1293.6.3 Acoustic modes 1303.7 Exampl...

List of contents

Foreword v
 
Preface vii
 
Images Credits ix
 
1 Fluid-Structure Interaction 1
 
1.1 A wide variety of problems 2
 
1.2 Analytical modelling of Fluid-Structure Interactions 3
 
1.2.1 Potential flow. Inertial coupling 4
 
1.2.2 Viscous flow. Viscous damping 8
 
1.2.3 Compressible flow. Radiation damping 10
 
1.3 Numerical simulation of Fluid-Structure Interactions 14
 
1.4 Finite element and boundary element methods 24
 
References 25
 
2 Structure Finite Elements 27
 
2.1 Vibrations of an elastic structure 28
 
2.1.1 Modelling assumptions 28
 
2.1.2 Equations of motion 36
 
2.2 Finite Element Method: practical implementation 38
 
2.2.1 Weighted integral formulation 38
 
2.2.2 Finite elements 40
 
2.2.3 Elementary matrices 43
 
2.2.4 Mass and stiffness matrices 44
 
2.2.5 Calculating and assembling matrices 49
 
2.2.6 Modal analysis 54
 
2.3 Example: bending modes 57
 
2.3.1 Bending motion of a straight elastic beam 57
 
2.3.2 Bernoulli beam elements 58
 
2.3.3 Bending modes 62
 
2.4 Example : coupled bending/membrane modes 66
 
2.4.1 Bending and membrane motion of a circular elastic ring 66
 
2.4.2 Fourier component representation: 0D element 67
 
2.4.3 Bending/membrane modes 69
 
References 79
 
3 Fluid Finite Elements 81
 
3.1 Fluid flow equations 82
 
3.2 Compressibility waves 91
 
3.2.1 Wave equation 91
 
3.2.2 Boundary conditions 95
 
3.3 Finite element method 103
 
3.3.1 Pressure-based formulation 103
 
3.3.2 Displacement-based formulations 108
 
3.3.3 Finite element matrices 111
 
3.4 Boundary element method 113
 
3.4.1 Green function and Green's integral theorem 113
 
3.4.2 Interior and exterior problems 114
 
3.4.3 Direct and indirect boundary element method 116
 
3.4.4 Boundary element matrices 120
 
3.5 Example: Sloshing modes 121
 
3.5.1 Circular reservoir with fluid free surface 121
 
3.5.2 2D axi-symmetric elements with gravity 124
 
3.5.3 Sloshing modes 126
 
3.6 Example: Acoustic modes in an open reservoir 128
 
3.6.1 Cylindrical acoustic opened cavity 128
 
3.6.2 2D axi-symmetric elements with compressibility 129
 
3.6.3 Acoustic modes 130
 
3.7 Example: Acoustic modes in a closed reservoir 132
 
3.7.1 Rectangular acoustic closed cavity 132
 
3.7.2 2D fluid elements with compressibility 134
 
3.7.3 Acoustic modes 134
 
3.8 Example: Acoustic radiation in infinite fluid 135
 
3.8.1 Pulsating ring in infinite acoustic fluid 135
 
3.8.2 1D axi-symmetric element with radiation condition 137
 
3.8.3 1D boundary elements 138
 
3.8.4 Acoustic radiation 141
 
References 146
 
4 Inertial Coupling 149
 
4.1 Mathematical modelling 150
 
4.2 Added mass matrix 152
 
4.2.1 Coupling matrix 152
 
4.2.2 Added mass matrix 154
 
4.2.3 Inertial effect 156
 
4.3 Modelling inertial coupling for complex systems: example of tube bundle 163
 
4.3.1 Analytical models for added mass 164
 
4.3.2 'Term-to-term' computation of the added mass matrix 164
 
4.3.3 A homogenisation technique 167
 
4.4 Examples : inertial effect in bounded domain 178
 
4.4.1 Analytical calculation of the added mass matrix 178
 
4.4.2 Numerical computation of the added mass matrix 185
 
4.5 Example: inertial effect in unbounded domai

About the author

Jean-François SIGRIST
DCNS Research, France

Summary

Fluid-Structure Interaction: An Introduction to Finite Element Coupling fulfils the need for an introductive approach to the general concepts of Finite and Boundary Element Methods for FSI, from the mathematical formulation to the physical interpretation of numerical simulations.

Product details

• Authors: Sigrist, Jean Francois Sigrist, Jean-Fran Ois Sigrist, Jean-Fran?ois Sigrist, Jean-Francois Sigrist, Jean-François Sigrist, Jean-Francois (Dcns Research Sigrist, JF Sigrist
• Publisher: Wiley, John and Sons Ltd
• Languages: English
• Product format: Hardback
• Released: 09.10.2015
• EAN: 9781119952275
• ISBN: 978-1-119-95227-5
• No. of pages: 304
• Subject: Natural sciences, medicine, IT, technology > Technology > Mechanical engineering, production engineering