Zusammenfassung
The present work is concerned with the partitioned solution of the multifeld problem arising from a hierarchical modeling approach to cardiovascular fluid-structure interaction. Different strategies to couple the participating feld solvers are investigated in detail. This includes staggered and parallel coupling algorithms as well as different methods for convergence acceleration, spatial interpolation and temporal extrapolation of coupling quantities. In the developed modeling and simulation approach, a fully resolved model of a segment of the arterial network is coupled to reduced order models in order to account for the influence of the surrounding.
There is experimental evidence that hemodynamic quantities such as the wall shear stress promote the progression cardiovascular disease. Cardiovascular FSI simulations, that can predict these quantities, are therefore of great interest and can aid in surgical planning and optimization of anastomoses shapes and graft materials.
Contents...
Schlagworte
fluid-structure interaction blood flow partitioned coupling high-order fnite elements- Kapitel Ausklappen | EinklappenSeiten
- 69–152 4 Numerical methods 69–152
- 220–252 6 Applications 220–252
- 253–256 7 Summary and Outlook 253–256
- 257–268 Appendix 257–268
- 269–288 Bibliography 269–288
8 Treffer gefunden
- „... insight into complex physical phenomena relying on known, fundamental laws. In both cases simulations may ...” „... modeling approach to cardiovascular FSI leading to a strongly-coupled multifield problem. consideration ...” „... physical phenomenon where such a strong coupling prevails and an implicit solution approach is inevitable ...”
- „... system is a complex physical phenomenon. However, neglecting biochemical effects, the system dynamics can ...” „... provides the necessary background for an adaption and reduction of the physical laws, so that they can be ...” „... of this chapter, the state-of-the-art in computational modeling of FSI problems is outlined. 2.1 The ...”
- „... arising from a hierarchical modeling approach to cardiovascular fluid-structure interaction. Different ...” „... interpolation and temporal extrapolation of coupling quantities. In the developed modeling and simulation ...” „... . . . . . . . . . . . . . . . . . . . 7 2.1.1 Anatomy of the larger arteries . . . . . . . . . . . . . 8 2.1.2 Physical characteristics of ...”
- „... 3 Mechanical modeling of the arterial system If the phenomenon of blood flow in human arteries is ...” „... . 23 3 Mechanical modeling of the arterial system Table 3.1: Subproblems governing coupled ...” „... of freedom u(p)(t) is introduced in the context of the spatial 25 3 Mechanical modeling of the ...”
- „... Equations”. In: Proceedings of the Royal Society of Edinburgh. Section A. Mathematical and Physical Sciences ...” „... . Remuzzi, and D. A. Steinman. “An image-based modeling framework for patient-specific computational ...” „... application to cerebral aneurysms”. In: Biomechanics and Modeling in Mechanobiology 9.4 (2010), pp. 481–498 ...”
- „... software package VTMK (The Vascular Modeling Toolkit, see [139]). While the voxel image actually shows a ...” „... compare the influence of different modeling aspects and to provide a reference in terms of clinical ...” „... simplified modeling approach followed here does not allow for a quantitative analysis. Since prestresses and ...”
- „... robustness and physical consistency in the case of large strains shall be investigated here. For material ...” „... in a simulation is to start the modeling process from the opened and unstretched state. This state is ...” „... start the modeling process from the unloaded but prestretched state. In the reference case, this state ...”
- „... three-dimensional FSI problem, a modeling pipeline was developed in the scope of this work. This includes a surface ...” „... vascular modeling toolkit, [139, 7]) is used, which implements all steps from reading the voxel data to ...”