流固耦合动力学--理论变分原理数值方法及应用(英文版)(精)

Preface 1.Introduction 1.1 Fluid-solid interaction dynamics and its characteristics 1.2 Fluid -solid interaction problems in engineering 1.3 Solution approaches to fluid-solid interaction problems 1.3.1 Approximate solution with no fluid-solid interaction 1.3.2 Quasicoupling approximation method 1.3.3 Solution of integrated coupling fields 1.4 Approaches to deriving numerical equations 1.4.1 Problem and its governing equations 1.4.2 Analytical solution 1.4.3 Variational formulations and Rayleigh-Ritz method 1.4.4 Finite element method 1.4.5 Weighted residual methods 1.4.6 Finite difference method 1.5 Short historical review on fluid-solid interaction 1.5.1 Terms of fluid-solid interaction and its subdisciplines in literatures 1.5.2 Historical remarkable events and progress on fluid-solid interaction 1.5.3 World-recognized conferences 1.5.4 Influential review papers 1.5.5 Important books on fluid-solid interaction 1.6 Main aim and characteristics of this book 1.7 Suggestions how to choose some contents as lecture notes 2.Cartesian tensor and matrix calculus 2.1 Cartesian tensor 2.1.1 Vector 2.1.2 Summation convention 2.1.3 Kronecker delta 2.1.4 Permutation symbol 2.1.5 e-δ ldentity 2.1.6 Differentiation of a function f (X1,X2,X3) 2.1.7 Transformation of coordinates 2.1.8 Tensor 2.1.9 Quotient rule 2.1.10 Index forms of some important variables 2.1.11 Two primary identities 2.2 Matrix calculus 2.2.1 Types of matrix derivatives 2.2.2 Derivatives with vectors 2.2.3 Derivatives with matrices 2.2.4 Identities 2.3 Exercise problems 2.3.1 Problem 1: prove the following formulations 2.3.2 Problem 2: prove the identity of three arbitrary vectors 2.3.3 Problem 3: express the constitutive equation in a tensor form 2.3.4 Problem 4: write the tensor equation in a coordinate (xyz) form 2.3.5 Problem 5: prove the following identities using index notations 2.3.6 Problem 6: prove eikajajbk=0 for nonzero vectors a and b 3.Fundamentals of continuum mechanics 3.1 Descriptions of the motion of a continuum 3.1.1 Material frame of reference 3.1.2 Spatial frame of reference 3.1.3 Arbitrary Lagrange Euler frame of reference 3.1.4 Updated Lagrangian system 3.1.5 Updated arbitrary Lagrange Euler system 3.2 Analysis of deformation 3.2.1 Displacement and strain …… 4.Variational principles of linear fluid-solid interaction systems 5.Solutions of some linear fluid-solid interaction problems 6.Preliminaries of waves 7.Finite element models for linear fluid-structure interaction problems 8.Mixed finite element-boundary element model for linear water-structure interactions 9.Hydroelasticity theory of ship-water interactions 10.Variational principles for nonlinear fluid-solid interactions 11.Mixed finite element-computational fluid dynamics method for nonlinear fluid-solid interactions 12.Mixed finite element-smoothed particle methods for nonlinear fluid-solid interactions Appendix: Numerical methods solving finite element dynamic equations Bibliography Index