Computational fluid-structure interaction : methods and applications /
Bazilevs, Yuri.
Computational fluid-structure interaction : methods and applications / Yuri Bazilevs, Kenji Takizawa, Tayfun E. Tezduyar. - 1 online resource. - Wiley series in computational mechanics . - Wiley series in computational mechanics. .
Includes bibliographical references and index.
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 Mechanics1.2.3 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 Descriptions1.3.2 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 Solids3.3 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.
"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"--
9781118483572 111848357X 9781118483589 1118483588 9781118483596 1118483596 9781118483565 1118483561 9781299188167 1299188168
EB00063727 Recorded Books
450066 MIL
2012043276
Fluid-structure interaction--Data processing.
Fluid-structure interaction--Mathematical models.
Fluid-structure interaction--Data processing.
Fluid-structure interaction--Mathematical models.
TECHNOLOGY & ENGINEERING--Drafting & Mechanical Drawing.
TECHNOLOGY & ENGINEERING--Drafting & Mechanical Drawing.
Fluid-structure interaction--Data processing.
Fluid-structure interaction--Mathematical models.
Electronic books.
Electronic books.
TA357.5.F58
624.1/71
Computational fluid-structure interaction : methods and applications / Yuri Bazilevs, Kenji Takizawa, Tayfun E. Tezduyar. - 1 online resource. - Wiley series in computational mechanics . - Wiley series in computational mechanics. .
Includes bibliographical references and index.
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 Mechanics1.2.3 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 Descriptions1.3.2 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 Solids3.3 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.
"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"--
9781118483572 111848357X 9781118483589 1118483588 9781118483596 1118483596 9781118483565 1118483561 9781299188167 1299188168
EB00063727 Recorded Books
450066 MIL
2012043276
Fluid-structure interaction--Data processing.
Fluid-structure interaction--Mathematical models.
Fluid-structure interaction--Data processing.
Fluid-structure interaction--Mathematical models.
TECHNOLOGY & ENGINEERING--Drafting & Mechanical Drawing.
TECHNOLOGY & ENGINEERING--Drafting & Mechanical Drawing.
Fluid-structure interaction--Data processing.
Fluid-structure interaction--Mathematical models.
Electronic books.
Electronic books.
TA357.5.F58
624.1/71