A fixed-grid b-spline finite element technique for fluid-structure interaction

2013 ◽  
Vol 74 (9) ◽  
pp. 623-660 ◽  
Author(s):  
T. Rüberg ◽  
F. Cirak
Keyword(s):  
Finite Element ◽  
Fluid Structure Interaction ◽  
Finite Element Technique ◽  
Fluid Structure ◽  
B Spline ◽  
Structure Interaction ◽  
Fixed Grid ◽  
Spline Finite Element ◽  
Element Technique

scholarly journals Comparison of a fixed-grid and arbitrary Lagrangian–Eulerian methods on modelling fluid–structure interaction of the aortic valve

2019 ◽  
Vol 233 (5) ◽  
pp. 544-553 ◽  
Author(s):  
Akram Joda ◽  
Zhongmin Jin ◽  
Jon Summers ◽  
Sotirios Korossis
Keyword(s):  
Finite Element ◽  
Aortic Valve ◽  
Fluid Structure Interaction ◽  
Arbitrary Lagrangian Eulerian ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Fixed Grid ◽  
Eulerian Method ◽  
Arbitrary Lagrangian Eulerian Method ◽  
Valve Dynamics

This study was aimed at assessing the robustness of a fixed-grid fluid–structure interaction method (Multi-Material Arbitrary Lagrangian–Eulerian) to modelling the two-dimensional native aortic valve dynamics and comparing it to the Arbitrary Lagrangian–Eulerian method. For the fixed-grid method, the explicit finite element solver LS-DYNA was utilized, where two independent meshes for the fluid and structure were generated and the penalty method was used to handle the coupling between the fluid and structure domains. For the Arbitrary Lagrangian–Eulerian method, the implicit finite element solver ADINA was used where two separate conforming meshes were used for the valve structure and the fluid domains. The comparison demonstrated that both fluid–structure interaction methods predicted accurately the valve dynamics, fluid flow, and stress distribution, implying that fixed-grid methods can be used in situations where the Arbitrary Lagrangian–Eulerian method fails.

scholarly journals About Finite Element Analysis of Fluid – Structure Interaction Problems

2014 ◽  
Vol 91 ◽  
pp. 37-42 ◽  
Author(s):  
Alexander M. Belostosky ◽  
Pavel A. Akimov ◽  
Taymuraz B. Kaytukov ◽  
Irina N. Afanasyeva ◽  
Anton R. Usmanov ◽  
...  
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Fluid Structure Interaction ◽  
Element Analysis ◽  
Fluid Structure ◽  
Structure Interaction

scholarly journals B-Spline Impulse Response Functions of Rigid Bodies for Fluid-Structure Interaction Analysis

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
S. Zhou-Bowers ◽  
D. C. Rizos
Keyword(s):  
Impulse Response ◽  
Dynamic Models ◽  
Interaction Analysis ◽  
Fluid Structure Interaction ◽  
Rigid Bodies ◽  
The Body ◽  
Impulse Response Functions ◽  
Fluid Structure ◽  
B Spline ◽  
Structure Interaction

Reduced 3D dynamic fluid-structure interaction (FSI) models are proposed in this paper based on a direct time-domain B-spline boundary element method (BEM). These models are used to simulate the motion of rigid bodies in infinite or semi-infinite fluid media in real, or near real, time. B-spline impulse response function (BIRF) techniques are used within the BEM framework to compute the response of the hydrodynamic system to transient forces. Higher-order spatial and temporal discretization is used in developing the kinematic FSI model of rigid bodies and computing its BIRFs. Hydrodynamic effects on the massless rigid body generated by an arbitrary transient acceleration of the body are computed by a mere superposition of BIRFs. Finally, the dynamic models of rigid bodies including inertia effects are generated by introducing the kinematic interaction model to the governing equation of motion and solve for the response in a time-marching scheme. Verification examples are presented and demonstrate the stability, accuracy, and efficiency of the proposed technique.

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