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.
1. Chapter 1. Introduction - p. 1 2. Abstract - p. 1 3. 1.1 Fluid–solid interaction dynamics and its characteristics - p. 1 4. 1.2 Fluid–solid interaction problems in engineering - p. 3 5. 1.3 Solution approaches to fluid–solid interaction problems - p. 6 6. 1.4 Approaches to deriving numerical equations - p. 7 7. 1.5 Short historical review on fluid–solid interaction - p. 24 8. 1.6 Main aim and characteristics of this book - p. 40 9. 1.7 Suggestions how to choose some contents as lecture notes - p. 41 10. Chapter 2. Cartesian tensor and matrix calculus - p. 43 11. Chapter 3. Fundamentals of continuum mechanics - p. 57 12. Abstract - p. 57 13. 3.1 Descriptions of the motion of a continuum - p. 57 14. 3.2 Analysis of deformation - p. 64 15. 3.3 Stress tensor - p. 70 16. 3.4 Constitutive equation - p. 72 17. 3.5 Laws of conservation - p. 73 18. 3.6 Navier–Stokes equations and boundary conditions - p. 92 19. Chapter 4. Variational principles of linear fluid–solid interaction systems - p. 103 20. Abstract - p. 103 21. 4.1 Short review on historic background - p. 104 22. 4.2 Fluid–solid interaction problems and interaction conditions - p. 105 23. 4.3 A complementary energy model: pressure–acceleration form - p. 116 24. 4.4 A potential–energy model: displacement–velocity potential form - p. 120 25. 4.5 Mixed energy models: displacement–pressure and acceleration–velocity potential forms - p. 124 26. 4.6 Three field variational formulations - p. 127 27. 4.7 Formulations with displacement potential or pressure impulse as a variable - p. 130 28. 4.8 Variational formulations for dissipative systems - p. 133 29. 4.9 Variational formulations for pipes conveying fluid - p. 138 30. Chapter 5. Solutions of some linear fluid–solid interaction problems - p. 145 31. Abstract - p. 145 32. 5.1 One-dimensional problems - p. 146 33. 5.2 Two dimensional problems - p. 161 34. 5.3 Three-dimensional problems - p. 178 35. Chapter 6. Preliminaries of waves - p. 189 36. Chapter 7. Finite element models for linear fluid–structure interaction problems - p. 209 37. Abstract - p. 209 38. 7.1 Introduction on finite element models for linear fluid–structure interaction - p. 210 39. 7.2 Displacement–velocity potential finite element model - p. 211 40. 7.3 Mixed finite element displacement–pressure model - p. 233 41. 7.4 Substructure–subdomain approaches - p. 239 42. Chapter 8. Mixed finite element–boundary element model for linear water–structure interactions - p. 285 43. Abstract - p. 285 44. 8.1 Formulation of the boundary element method - p. 285 45. 8.2 Mixed finite element–boundary element method for very large floating structure subjected to airplane landing impacts - p. 293 46. 8.3 Finite element–boundary element modeling for dynamic response of structures excited by incident water waves - p. 312 47. 8.4 Mirror image method for acoustic radiations of underwater structures - p. 320 48. Chapter 9. Hydroelasticity theory of ship–water interactions - p. 333 49. Abstract - p. 333 50. 9.1 Fundamentals for ship–water interactions - p. 334 51. 9.2 Incident waves - p. 341 52. 9.3 Linear hydroelasticity theory - p. 343 53. Chapter 10. Variational principles for nonlinear fluid–solid interactions - p. 369 54. Abstract - p. 369 55. 10.1 A short review on variational principles for nonlinear dynamical systems - p. 370 56. 10.2 Fundamental variational concepts for nonlinear systems - p. 372 57. 10.3 Governing equations - p. 377 58. 10.4 Variational principles - p. 382 59. 10.5 Two simple examples of applications - p. 390 60. 10.6 Variational principles for nonlinear elastic ship–water interactions - p. 394 61. Chapter 11. Mixed finite element–computational fluid dynamics method for nonlinear fluid–solid interactions - p. 409 62. Abstract - p. 409 63. 11.1 Updated Lagrangian formulation in finite element methods - p. 410 64. 11.2 Updated arbitrary Lagrangian–Eulerian formulations in computational fluid dynamics - p. 423 65. 11.3 Mixed finite element–computational fluid dynamics solutions for nonlinear fluid–solid interaction problems - p. 449 66. 11.4 Numerical examples by the mixed finite element–finite difference method - p. 457 67. Chapter 12. Mixed finite element—smoothed particle methods for nonlinear fluid–solid interactions - p. 487 68. Abstract - p. 487 69. 12.1 Introduction - p. 488 70. 12.2 Fundamentals of smoothed particle hydrodynamics - p. 492 71. 12.3 Meshfree Galerkin methods - p. 531 72. 12.4 Mixed finite element—smoothed particle method for fluid–solid interaction problems - p. 536 73. Appendix. Numerical methods solving finite element dynamic equations - p. 577 74. Bibliography - p. 627 75. Index - p. 651
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.
1. Chapter 1. Introduction - p. 1 2. Abstract - p. 1 3. 1.1 Fluid–solid interaction dynamics and its characteristics - p. 1 4. 1.2 Fluid–solid interaction problems in engineering - p. 3 5. 1.3 Solution approaches to fluid–solid interaction problems - p. 6 6. 1.4 Approaches to deriving numerical equations - p. 7 7. 1.5 Short historical review on fluid–solid interaction - p. 24 8. 1.6 Main aim and characteristics of this book - p. 40 9. 1.7 Suggestions how to choose some contents as lecture notes - p. 41 10. Chapter 2. Cartesian tensor and matrix calculus - p. 43 11. Chapter 3. Fundamentals of continuum mechanics - p. 57 12. Abstract - p. 57 13. 3.1 Descriptions of the motion of a continuum - p. 57 14. 3.2 Analysis of deformation - p. 64 15. 3.3 Stress tensor - p. 70 16. 3.4 Constitutive equation - p. 72 17. 3.5 Laws of conservation - p. 73 18. 3.6 Navier–Stokes equations and boundary conditions - p. 92 19. Chapter 4. Variational principles of linear fluid–solid interaction systems - p. 103 20. Abstract - p. 103 21. 4.1 Short review on historic background - p. 104 22. 4.2 Fluid–solid interaction problems and interaction conditions - p. 105 23. 4.3 A complementary energy model: pressure–acceleration form - p. 116 24. 4.4 A potential–energy model: displacement–velocity potential form - p. 120 25. 4.5 Mixed energy models: displacement–pressure and acceleration–velocity potential forms - p. 124 26. 4.6 Three field variational formulations - p. 127 27. 4.7 Formulations with displacement potential or pressure impulse as a variable - p. 130 28. 4.8 Variational formulations for dissipative systems - p. 133 29. 4.9 Variational formulations for pipes conveying fluid - p. 138 30. Chapter 5. Solutions of some linear fluid–solid interaction problems - p. 145 31. Abstract - p. 145 32. 5.1 One-dimensional problems - p. 146 33. 5.2 Two dimensional problems - p. 161 34. 5.3 Three-dimensional problems - p. 178 35. Chapter 6. Preliminaries of waves - p. 189 36. Chapter 7. Finite element models for linear fluid–structure interaction problems - p. 209 37. Abstract - p. 209 38. 7.1 Introduction on finite element models for linear fluid–structure interaction - p. 210 39. 7.2 Displacement–velocity potential finite element model - p. 211 40. 7.3 Mixed finite element displacement–pressure model - p. 233 41. 7.4 Substructure–subdomain approaches - p. 239 42. Chapter 8. Mixed finite element–boundary element model for linear water–structure interactions - p. 285 43. Abstract - p. 285 44. 8.1 Formulation of the boundary element method - p. 285 45. 8.2 Mixed finite element–boundary element method for very large floating structure subjected to airplane landing impacts - p. 293 46. 8.3 Finite element–boundary element modeling for dynamic response of structures excited by incident water waves - p. 312 47. 8.4 Mirror image method for acoustic radiations of underwater structures - p. 320 48. Chapter 9. Hydroelasticity theory of ship–water interactions - p. 333 49. Abstract - p. 333 50. 9.1 Fundamentals for ship–water interactions - p. 334 51. 9.2 Incident waves - p. 341 52. 9.3 Linear hydroelasticity theory - p. 343 53. Chapter 10. Variational principles for nonlinear fluid–solid interactions - p. 369 54. Abstract - p. 369 55. 10.1 A short review on variational principles for nonlinear dynamical systems - p. 370 56. 10.2 Fundamental variational concepts for nonlinear systems - p. 372 57. 10.3 Governing equations - p. 377 58. 10.4 Variational principles - p. 382 59. 10.5 Two simple examples of applications - p. 390 60. 10.6 Variational principles for nonlinear elastic ship–water interactions - p. 394 61. Chapter 11. Mixed finite element–computational fluid dynamics method for nonlinear fluid–solid interactions - p. 409 62. Abstract - p. 409 63. 11.1 Updated Lagrangian formulation in finite element methods - p. 410 64. 11.2 Updated arbitrary Lagrangian–Eulerian formulations in computational fluid dynamics - p. 423 65. 11.3 Mixed finite element–computational fluid dynamics solutions for nonlinear fluid–solid interaction problems - p. 449 66. 11.4 Numerical examples by the mixed finite element–finite difference method - p. 457 67. Chapter 12. Mixed finite element—smoothed particle methods for nonlinear fluid–solid interactions - p. 487 68. Abstract - p. 487 69. 12.1 Introduction - p. 488 70. 12.2 Fundamentals of smoothed particle hydrodynamics - p. 492 71. 12.3 Meshfree Galerkin methods - p. 531 72. 12.4 Mixed finite element—smoothed particle method for fluid–solid interaction problems - p. 536 73. Appendix. Numerical methods solving finite element dynamic equations - p. 577 74. Bibliography - p. 627 75. Index - p. 651
