The influence of geometric imperfections in cardiovascular FSI simulations

Radtke, Lars; König, Marcel; Düster, Alexander

doi:10.1016/j.camwa.2017.04.012

Cited by 7 publications

(9 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A similar convergence behavior is observed for bypass-like structures, even though they are characterized by a much smaller wall thickness, and were modeled using an isotropic (Neo-Hooke) material model in [162].…”

Section: Convergence Analysismentioning

confidence: 56%

“…The method was successfully used to accelerate partitioned FSI simulations in many works, see e.g. [129,163,162,122,81], where it is simply called Aitken relaxation.…”

Section: Relaxation Methodsmentioning

confidence: 99%

“…The method is based on the ideas in [215] and was first used in the context of partitioned FSI simulations in [51]. Since then, it has been refined, investigated and applied by the same author (see [53,56,55]) as well as other research groups (see e.g [87,122,163,162,164]).…”

Section: Quasi-newton Least-squares Methodsmentioning

confidence: 99%

“…The sets of parameters will be considered in more detail later on in this section. They were also used in [162], where the convergence behavior of the p-FEM was investigated as well. Therein, the trunk and the tensor product space were considered, while this study is augmented by the serendipity space.…”

Section: Convergence Analysismentioning

confidence: 99%

“…Therein, the trunk and the tensor product space were considered, while this study is augmented by the serendipity space. The following findings from [162] are not reinvestigated.…”

Section: Convergence Analysismentioning

confidence: 99%

See 4 more Smart Citations

A partitioned solution approach for fluid-structure interaction problems in the arterial system

Radtke¹

2020

Self Cite

View full text Add to dashboard Cite

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...

show abstract

Section: Convergence Analysismentioning

confidence: 56%

“…The method was successfully used to accelerate partitioned FSI simulations in many works, see e.g. [129,163,162,122,81], where it is simply called Aitken relaxation.…”

Section: Relaxation Methodsmentioning

confidence: 99%

Section: Quasi-newton Least-squares Methodsmentioning

confidence: 99%

Section: Convergence Analysismentioning

confidence: 99%

“…Therein, the trunk and the tensor product space were considered, while this study is augmented by the serendipity space. The following findings from [162] are not reinvestigated.…”

Section: Convergence Analysismentioning

confidence: 99%

See 3 more Smart Citations

A partitioned solution approach for fluid-structure interaction problems in the arterial system

Radtke¹

2020

Self Cite

View full text Add to dashboard Cite

show abstract

Simulation der Fluid-Struktur-Interaktion in arteriellen Bypässen

et al. 2017

View full text Add to dashboard Cite

Current progress toward isogeometric modeling of the heart biophysics

Torre,

Morganti,

Pasqualini

et al. 2023

Biophysics Reviews

View full text Add to dashboard Cite

In this paper, we review a powerful methodology to solve complex numerical simulations, known as isogeometric analysis, with a focus on applications to the biophysical modeling of the heart. We focus on the hemodynamics, modeling of the valves, cardiac tissue mechanics, and on the simulation of medical devices and treatments. For every topic, we provide an overview of the methods employed to solve the specific numerical issue entailed by the simulation. We try to cover the complete process, starting from the creation of the geometrical model up to the analysis and post-processing, highlighting the advantages and disadvantages of the methodology.

show abstract

The influence of geometric imperfections in cardiovascular FSI simulations

Cited by 7 publications

References 38 publications

A partitioned solution approach for fluid-structure interaction problems in the arterial system

A partitioned solution approach for fluid-structure interaction problems in the arterial system

Simulation der Fluid-Struktur-Interaktion in arteriellen Bypässen

Current progress toward isogeometric modeling of the heart biophysics

Contact Info

Product

Resources

About