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A partitioned solution approach for fluid-structure interaction problems in the arterial system / Titelei/Inhaltsverzeichnis
A partitioned solution approach for fluid-structure interaction problems in the arterial system / Titelei/Inhaltsverzeichnis
Contents
Chapter
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Page
I–X
Titelei/Inhaltsverzeichnis
I–X
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1–5
1 Introduction
1–5
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6–22
2 Fluid-structure interaction in the arterial system
6–22
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2.1 The cardiovascular system
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2.1.1 Anatomy of the larger arteries
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2.1.2 Physical characteristics of arterial blood ow
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2.1.3 Cardiovascular diseases
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2.1.4 Vascular bypass grafts
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2.2 Computational modeling
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2.2.1 Fluid-structure interaction
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2.2.2 Arterial hemodynamics
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23–68
3 Mechanical modeling of the arterial system
23–68
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3.1 Coupled problems
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3.1.1 Solution approaches
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3.2 Continuum mechanics
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3.2.1 Conservation laws on moving domains
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3.2.2 Structural mechanics
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3.2.3 Fluid mechanics
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3.2.4 Interface constraints and domain motion
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3.3 Mechanical models for the cardiovascular system
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3.3.1 Constitutive equations for soft tissue
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3.3.2 Constitutive equations for blood
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3.3.3 One-dimensional models
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3.3.4 Windkessel models
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3.3.5 Models for the surrounding tissue
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3.3.6 Velocity profiles
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3.3.7 Hemodynamic quantities
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69–152
4 Numerical methods
69–152
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4.1 Space and time discretization
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4.1.1 High-order finite elements for structural mechanics
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4.1.2 Finite volumes for uid mechanics in moving domains
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4.1.3 Taylor-Galerkin method for one-dimensional blood ow
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4.1.4 Solvers for ordinary differential equations
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4.2 Geometry and mesh generation
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4.2.1 G1-continuous surface construction
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4.2.2 Polynomial G1 PN quads
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4.2.3 General polynomial G1 quads
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4.3 Partitioned solution approach
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4.3.1 Coupling algorithms
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4.3.2 Convergence acceleration
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4.3.3 Predictors
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4.3.4 Convergence criteria
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4.3.5 Interpolation
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4.4 Coupling software
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4.4.1 Software design
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4.4.2 Inter process communication
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4.4.3 Implementation of coupling algorithms
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4.4.4 Field solver manipulation
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153–219
5 Numerical investigations
153–219
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5.1 Preliminary analyses
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5.1.1 Structural mechanics
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5.1.2 Fluid dynamics
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5.1.3 Reduced models
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5.1.4 Interpolation
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5.1.5 Load integration
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5.2 Coupled benchmark problems
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5.2.1 Multi-body system
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5.2.2 Lid-driven cavity ow
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5.2.3 Two-dimensional ag in channel ow
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5.2.4 Pulse wave in an elastic tube
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5.3 Arterial uid-structure interaction
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5.3.1 Initial boundary value problem
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5.3.2 Coupling algorithm
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5.3.3 Test case
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5.3.4 Results
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220–252
6 Applications
220–252
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6.1 Hemodynamics in the scope of vessel geometry and material
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6.1.1 Decoupled simulations
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6.1.2 Coupled simulations
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6.2 Hemodynamics in idealized end-to-side anastomoses
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6.2.1 Simulation setup
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6.2.2 Results
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6.3 Hemodynamics in a patient specific anastomosis
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6.3.1 Study case
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6.3.2 Modeling and simulation approach
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6.3.3 Results { one-dimensional analysis
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6.3.4 Results { three-dimensional analysis
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6.3.5 Discussion
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253–256
7 Summary and Outlook
253–256
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257–268
Appendix
257–268
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A.1 Tensor algebra
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A.1.1 Contractions and scalar products
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A.1.2 Dyadic products of second order tensors
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A.1.3 Special fourth order tensors
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A.2 Continuum mechanics
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A.2.1 Neo-Hookean elasticity tensor
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A.3 Finite elements
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A.3.1 Weak form
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A.3.2 Special matrices
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A.3.3 Assembly
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A.3.4 Voigt notation
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A.3.5 Nodal shape function indices
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A.3.6 Face and edge coordinates
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A.4 Taylor-Galerkin method
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A.4.1 Left-hand side
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A.4.2 Right-hand side
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A.5 Radial basis functions
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A.6 Multi body system
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A.7 Coupling software
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A.8 Preliminary investigations
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A.9 Applications
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269–288
Bibliography
269–288
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A partitioned solution approach for fluid-structure interaction problems in the arterial system , page I - X
Titelei/Inhaltsverzeichnis
Autoren
Lars Radtke
DOI
doi.org/10.51202/9783186353184-I
ISBN print: 978-3-18-335318-7
ISBN online: 978-3-18-635318-4
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