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