A kinematically coupled time-splitting scheme for fluid–structure interaction in blood flow

Guidoboni, Giovanna; Glowinski, Roland; Cavallini, Nicola; Čanić, Sunčica; Lapin, Sergey

doi:10.1016/j.aml.2008.05.006

Cited by 34 publications

(34 citation statements)

References 18 publications

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“…Kinematical [48][49][50][51][52][53][54][55] and dynamical [56][57][58] aspects of the system are related to the linear motor's calibration [59,60] that is performed by changing PID parameters and by overlapping the obtained law of motion on the desired one, for a heart rate of 60 beats per minute. When the deviation between two laws is acceptable, durability tests are performed by varying heart's frequency or by setting a random frequency and then by analyzing the heart valve's behaviour.…”

Section: Experimental Results and Conclusionmentioning

confidence: 99%

Test Bench Simulator for Heart Valves

Petrogalli

Mor

2016

MATEC Web of Conferences

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Abstract. The objective of this research is the creation of a testing bench prototype for comparing different types of heart valves, taking into account the variability of some important parameters involved in cardiovascular events. Thanks to performed tests and to obtained data, the comparison between the different valves allows physicians to make the most appropriate choice of heart valve for each patient. The study is still in preliminary stage: it is necessary to do many tests in order to obtain a large amount of data with which it is possible to proceed with the development and implementation of a testing bench stable and easily programmable.

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Section: Experimental Results and Conclusionmentioning

confidence: 99%

Test Bench Simulator for Heart Valves

Petrogalli

Mor

2016

MATEC Web of Conferences

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“…The model discussed here is based on the work of [9,10]. Consider the flow of an incompressible, viscous Newtonian fluid in a two-dimensional symmetric channel with thin and deformable walls in Figure 1.…”

Section: Fluid Structure Interaction Problem Formulationmentioning

confidence: 99%

“…For a critical review on blood flow, one can refer to [36] where the blood rheology, blood viscosity models, and conditions are listed. In this paper, only Newtonian fluid will be considered as in [9][10][11]33].…”

Section: Fluid Structure Interaction Problem Formulationmentioning

confidence: 99%

“…The generalized string model had been utilized as the structure of blood flow in compliant vessels and arteries [9][10][11][12][13][14][15]. Causin et al [16] explained that the generalized string model is a structural model derived from the theory of linear elasticity for a cylindrical tube with small thickness.…”

Section: Introductionmentioning

confidence: 99%

“…To date, it seems that only the monolithic and implicit schemes are applicable in blood flow simulation involving fluid structure interaction. However, they are costly in terms of computational cost, computational time, and memory requirement [9][10][11][31][32][33]. In Section 4, the improved numerical methods which are stable but with low computational time are summarized.…”

Section: Introductionmentioning

confidence: 99%

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Some Numerical Approaches to Solve Fluid Structure Interaction Problems in Blood Flow

Tang

Amin

2014

Abstract and Applied Analysis

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Some numerical approaches to solve fluid structure interaction problems in blood flow are reviewed. Fluid structure interaction is the interaction between a deformable structure with either an internal or external flow. A discussion on why the compliant artery associated with fluid structure interaction should be taken into consideration in favor of the rigid wall model being included. However, only the Newtonian model of blood is assumed, while various structure models which include, amongst others, generalized string models and linearly viscoelastic Koiter shell model that give a more realistic representation of the vessel walls compared to the rigid structure are presented. Since there exists a strong added mass effect due to the comparable densities of blood and the vessel wall, the numerical approaches to overcome the added mass effect are discussed according to the partitioned and monolithic classifications, where the deficiencies of each approach are highlighted. Improved numerical methods which are more stable and offer less computational cost such as the semi-implicit, kinematic splitting, and the geometrical multiscale approach are summarized, and, finally, an appropriate structure and numerical scheme to tackle fluid structure interaction problems are proposed.

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Computational Modeling of Abdominal Aortic Aneurysms

Filipović

2021

Computational Modeling and Simulation Examples in Bioengineering

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A kinematically coupled time-splitting scheme for fluid–structure interaction in blood flow

Cited by 34 publications

References 18 publications

Test Bench Simulator for Heart Valves

Test Bench Simulator for Heart Valves

Some Numerical Approaches to Solve Fluid Structure Interaction Problems in Blood Flow

Computational Modeling of Abdominal Aortic Aneurysms

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