Computational fluid-structure interaction [[electronic resource] ] : methods and applications / / Yuri Bazilevs, Kenji Takizawa, Tayfun E. Tezduyar

• Record Nr.: UNINA9910141514203321
• Autore: Bazilevs Yuri
• Pubbl/distr/stampa: Hoboken, : John Wiley & Sons Inc., 2013
• ISBN: 1-118-48356-1; 1-299-18816-8; 1-118-48358-8; 1-118-48357-X
• Descrizione fisica: 1 online resource (406 p.)
• Collana: Wiley series in computational mechanics
• Classificazione: TEC006000
• Altri autori (Persone): TakizawaKenji; TezduyarT. E (Tayfun E.)
• Disciplina: 624.1/71
• Soggetti: Fluid-structure interaction - Data processing; Fluid-structure interaction - Mathematical models
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Computational Fluid-Structure Interaction; Contents; Series Preface; Preface; Acknowledgements; Chapter 1 Governing Equations of Fluid and Structural Mechanics; 1.1 Governing Equations of Fluid Mechanics; 1.1.1 Strong Form of the Navier--Stokes Equations of Incompressible Flows; 1.1.2 Model Differential Equations; 1.1.3 Nondimensional Equations and Numbers; 1.1.4 Some Specific Boundary Conditions; 1.1.5 Weak Form of the Navier--Stokes Equations; 1.2 Governing Equations of Structural Mechanics; 1.2.1 Kinematics; 1.2.2 Principle of Virtual Work and Variational Formulation of Structural Mechanics 1.2.3 Conservation of Mass; 1.2.4 Structural Mechanics Formulation in the Current Configuration; 1.2.5 Structural Mechanics Formulation in the Reference Configuration; 1.2.6 Additional Boundary Conditions of Practical Interest; 1.2.7 Some Constitutive Models; 1.2.8 Linearization of the Structural Mechanics Equations: Tangent Stiffness and Equations of Linear Elasticity; 1.2.9 Thin Structures: Shell, Membrane, and Cable Models; 1.3 Governing Equations of Fluid Mechanics in Moving Domains; 1.3.1 Kinematics of ALE and Space--Time Descriptions 1.3.2 ALE Formulation of Fluid Mechanics; Chapter 2 Basics of the Finite Element Method for Nonmoving-Domain Problems; 2.1 An Abstract Variational Formulation for Steady Problems; 2.2 FEM Applied to Steady Problems; 2.3 Construction of Finite Element Basis Functions; 2.3.1 Construction of Element Shape Functions; 2.3.2 Finite Elements Based on Lagrange Interpolation Functions; 2.3.3 Construction of Global Basis Functions; 2.3.4 Element Matrices and Vectors and their Assembly into the Global Equation System; 2.4 Finite Element Interpolation and Numerical Integration2.4.1 Interpolation by Finite Elements; 2.4.2 Numerical Integration; 2.5 Examples of Finite Element Formulations; 2.5.1 Galerkin Formulation of the Advection--Diffusion Equation; 2.5.2 Stabilized Formulation of the Advection--Diffusion Equation; 2.5.3 Galerkin Formulation of Linear Elastodynamics; 2.6 Finite Element Formulation of the Navier--Stokes Equations; 2.6.1 Standard Essential Boundary Conditions; 2.6.2 Weakly Enforced Essential Boundary Conditions; Chapter 3 Basics of the Isogeometric Analysis; 3.1 B-Splines in 1D; 3.2 NURBS Basis Functions, Curves, Surfaces, and Solids 3.3 h-, p-, and k-Refinement of NURBS Meshes; 3.4 NURBS Analysis Framework; Chapter 4 ALE and Space-Time Methods for Moving Boundaries and Interfaces; 4.1 Interface-Tracking (Moving-Mesh) and Interface-Capturing (Nonmoving-Mesh) Techniques; 4.2 Mixed Interface-Tracking/Interface-Capturing Technique (MITICT); 4.3 ALE Methods; 4.4 Space-Time Methods; 4.5 Advection-Diffusion Equation; 4.5.1 ALE Formulation; 4.5.2 Space-Time Formulation; 4.6 Navie-Stokes Equations; 4.6.1 ALE Formulation; 4.6.2 Generalized-αTime Integration of the ALE Equations
• Sommario/riassunto: "Computational Fluid-Structure Interaction is a complete, self-contained reference that takes the reader from the fundamentals of computational fluid and solid mechanics all the way to the state-of-the-art in CFSI research"--