Computational Fluid-Structure Interaction : Methods and Applications.
Başlık:
Computational Fluid-Structure Interaction : Methods and Applications.
Yazar:
Bazilevs, Yuri.
ISBN:
9781118483572
Yazar Ek Girişi:
Basım Bilgisi:
1st ed.
Fiziksel Tanımlama:
1 online resource (498 pages)
Seri:
Wiley Series in Computational Mechanics
İçerik:
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 Integration -- 2.4.1 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 -- 4.6.3 Space--Time Formulation -- 4.7 Mesh Moving Methods -- Chapter 5 ALE and Space-Time Methods for FSI -- 5.1 FSI Formulation at the Continuous Level -- 5.2 ALE Formulation of FSI -- 5.2.1 Spatially-Discretized ALE FSI Formulation with Matching Fluid and Structure Discretizations -- 5.2.2 Generalized-α Time Integration of the ALE FSI Equations -- 5.2.3 Predictor-Multicorrector Algorithm and Linearization of the ALE FSI Equations -- 5.3 Space-Time Formulation of FSI -- 5.3.1 Core Formulation -- 5.3.2 Interface Projection Techniques for Nonmatching Fluid and Structure Interface Discretizations -- 5.4 Advanced Mesh Update Techniques.
5.4.1 Solid-Extension Mesh Moving Technique (SEMMT) -- 5.4.2 Move-Reconnect-Renode Mesh Update Method (MRRMUM) -- 5.4.3 Pressure Clipping -- 5.5 FSI Geometric Smoothing Technique (FSI-GST) -- Chapter 6 Advanced FSI and Space-Time Techniques -- 6.1 Solution of the Fully-Discretized Coupled FSI Equations -- 6.1.1 Block-Iterative Coupling -- 6.1.2 Quasi-Direct Coupling -- 6.1.3 Direct Coupling -- 6.2 Segregated Equation Solvers and Preconditioners -- 6.2.1 Segregated Equation Solver for Nonlinear Systems (SESNS) -- 6.2.2 Segregated Equation Solver for Linear Systems (SESLS) -- 6.2.3 Segregated Equation Solver for Fluid--Structure Interactions (SESFSI) -- 6.3 New-Generation Space-Time Formulations -- 6.3.1 Mesh Representation -- 6.3.2 Momentum Equation -- 6.3.3 Incompressibility Constraint -- 6.4 Time Representation -- 6.4.1 Time Marching Problem -- 6.4.2 Design of Temporal NURBS Basis Functions -- 6.4.3 Approximation in Time -- 6.4.4 An Example: Circular-Arc Motion -- 6.5 Simple-Shape Deformation Model (SSDM) -- 6.6 Mesh Update Techniques in the Space--Time Framework -- 6.6.1 Mesh Computation and Representation -- 6.6.2 Remeshing Technique -- 6.7 Fluid Mechanics Computation with Temporal NURBS Mesh -- 6.7.1 No-Slip Condition on a Prescribed Boundary -- 6.7.2 Starting Condition -- 6.8 The Surface-Edge-Node Contact Tracking (SENCT-FC) Technique -- 6.8.1 Contact Detection and Node Sets -- 6.8.2 Contact Force and Reaction Force -- 6.8.3 Solving for the Contact Force -- Chapter 7 General Applications and Examples of FSI Modeling -- 7.1 2D Flow Past an Elastic Beam Attached to a Fixed, Rigid Block -- 7.2 2D Flow Past an Airfoil Attached to a Torsion Spring -- 7.3 Inflation of a Balloon -- 7.4 Flow Through and Around a Windsock -- 7.5 Aerodynamics of Flapping Wings -- 7.5.1 Surface and Volume Meshes.
7.5.2 Flapping-Motion Representation -- 7.5.3 Mesh Motion -- 7.5.4 Fluid Mechanics Computation -- Chapter 8 Cardiovascular FSI -- 8.1 Special Techniques -- 8.1.1 Mapping Technique for Inflow Boundaries -- 8.1.2 Preconditioning Technique -- 8.1.3 Calculation of Wall Shear Stress -- 8.1.4 Calculation of Oscillatory Shear Index -- 8.1.5 Boundary Condition Techniques for Inclined Inflow and Outflow Planes -- 8.2 Blood Vessel Geometry, Variable Wall Thickness, Mesh Generation, and Estimated Zero-Pressure (EZP) Geometry -- 8.2.1 Arterial-Surface Extraction from Medical Images -- 8.2.2 Mesh Generation and EZP Arterial Geometry -- 8.2.3 Blood Vessel Wall Thickness Reconstruction -- 8.3 Blood Vessel Tissue Prestress -- 8.3.1 Tissue Prestress Formulation -- 8.3.2 Linearized Elasticity Operator -- 8.4 Fluid and Structure Properties and Boundary Conditions -- 8.4.1 Fluid and Structure Properties -- 8.4.2 Boundary Conditions -- 8.5 Simulation Sequence -- 8.6 Sequentially-Coupled Arterial FSI (SCAFSI) Technique -- 8.7 Multiscale Versions of the SCAFSI Technique -- 8.8 Computations with the SSTFSI Technique -- 8.8.1 Performance Tests for Structural Mechanics Meshes -- 8.8.2 Multiscale SCAFSI Computations -- 8.8.3 WSS Calculations with Refined Meshes -- 8.8.4 Computations with New Surface Extraction, Mesh Generation, and Boundary Condition Techniques -- 8.8.5 Computations with the New Techniques for the EZP Geometry, Wall Thickness, and Boundary-Layer Element Thickness -- 8.9 Computations with the ALE FSI Technique -- 8.9.1 Cerebral Aneurysms: Tissue Prestress -- 8.9.2 Total Cavopulmonary Connection -- 8.9.3 Left Ventricular Assist Device -- Chapter 9 Parachute FSI -- 9.1 Parachute Specific FSI-DGST -- 9.2 Homogenized Modeling of Geometric Porosity (HMGP) -- 9.2.1 HMGP in its Original Form -- 9.2.2 HMGP-FG -- 9.2.3 Periodic n-Gore Model.
9.3 Line Drag -- 9.4 Starting Point for the FSI Computation -- 9.5 ``Symmetric FSI'' Technique -- 9.6 Multiscale SCFSI M2C Computations -- 9.6.1 Structural Mechanics Solution for the Reefed Stage -- 9.6.2 Fabric Stress Computations -- 9.7 Single-Parachute Computations -- 9.7.1 Various Canopy Configurations -- 9.7.2 Various Suspension Line Length Ratios -- 9.8 Cluster Computations -- 9.8.1 Starting Conditions -- 9.8.2 Computational Conditions -- 9.8.3 Results -- 9.9 Techniques for Dynamical Analysis and Model-Parameter Extraction -- 9.9.1 Contributors to Parachute Descent Speed -- 9.9.2 Added Mass -- Chapter 10 Wind-Turbine Aerodynamics and FSI -- 10.1 Aerodynamics Simulations of a 5MW Wind-Turbine Rotor -- 10.1.1 5MW Wind-Turbine Rotor Geometry Definition -- 10.1.2 ALE-VMS Simulations Using NURBS-based IGA -- 10.1.3 Computations with the DSD/SST Formulation Using Finite Elements -- 10.2 NREL Phase VI Wind-Turbine Rotor: Validation and the Role of Weakly-Enforced Essential Boundary Conditions -- 10.3 Structural Mechanics of Wind-Turbine Blades -- 10.3.1 The Bending-Strip Method -- 10.3.2 Time Integration of the Structural Mechanics Equations -- 10.4 FSI Coupling and Aerodynamics Mesh Update -- 10.5 FSI Simulations of a 5MW Wind-Turbine Rotor -- 10.6 Pre-Bending of the Wind-Turbine Blades -- 10.6.1 Problem Statement and the Pre-Bending Algorithm -- 10.6.2 Pre-Bending Results for the NREL 5MW Wind-Turbine Blade -- References -- Index.
Özet:
Computational Fluid-Structure Interaction: Methods and Applications takes the reader from the fundamentals of computational fluid and solid mechanics to the state-of-the-art in computational FSI methods, special FSI techniques, and solution of real-world problems. Leading experts in the field present the material using a unique approach that combines advanced methods, special techniques, and challenging applications. This book begins with the differential equations governing the fluid and solid mechanics, coupling conditions at the fluid-solid interface, and the basics of the finite element method. It continues with the ALE and space-time FSI methods, spatial discretization and time integration strategies for the coupled FSI equations, solution techniques for the fully-discretized coupled equations, and advanced FSI and space-time methods. It ends with special FSI techniques targeting cardiovascular FSI, parachute FSI, and wind-turbine aerodynamics and FSI. Key features: First book to address the state-of-the-art in computational FSI Combines the fundamentals of computational fluid and solid mechanics, the state-of-the-art in FSI methods, and special FSI techniques targeting challenging classes of real-world problems Covers modern computational mechanics techniques, including stabilized, variational multiscale, and space-time methods, isogeometric analysis, and advanced FSI coupling methods Is in full color, with diagrams illustrating the fundamental concepts and advanced methods and with insightful visualization illustrating the complexities of the problems that can be solved with the FSI methods covered in the book. Authors are award winning, leading global experts in computational FSI, who are known for solving some of the most challenging FSI problems Computational Fluid-Structure Interaction: Methods and Applications is a comprehensive
reference for researchers and practicing engineers who would like to advance their existing knowledge on these subjects. It is also an ideal text for graduate and senior-level undergraduate courses in computational fluid mechanics and computational FSI.
Notlar:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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