scholarly journals A matrix free, partitioned solution of fluid–structure interaction problems using finite volume and finite element methods

2015 ◽  
Vol 49 ◽  
pp. 272-286 ◽  
Author(s):  
R. Suliman ◽  
O.F. Oxtoby ◽  
A.G. Malan ◽  
S. Kok
Author(s):  
Qiyue Lu ◽  
Alfonso Santiago ◽  
Seid Koric ◽  
Paula Cordoba

Abstract Fluid-Structure Interaction (FSI) simulations have applications to a wide range of engineering areas. One popular technique to solve FSI problems is the Arbitrary Lagrangian-Eulerian (ALE) method. Both academic and industry communities developed codes to implement the ALE method. One of them is Alya, a Finite Element Method (FEM) based code developed in Barcelona Supercomputing Center (BSC). By analyzing the application on a simplified artery case and compared to another commercial code, which is Finite Volume Method (FVM) based, this paper discusses the mathematical background of the solver for domains, and carries out verification work on Alya’s FSI capability. The results show that while both codes provide comparable FSI results, Alya has exhibited better robustness due to its Subgrid Scale (SGS) technique for stabilization of convective term and the subsequent numerical treatments. Thus this code opens the door for more extensive use of higher fidelity finite element based FSI methods in future.


2016 ◽  
Vol 307 ◽  
pp. 670-695 ◽  
Author(s):  
Vito Pasquariello ◽  
Georg Hammerl ◽  
Felix Örley ◽  
Stefan Hickel ◽  
Caroline Danowski ◽  
...  

Author(s):  
Kunlun Liu ◽  
Victor H. Barocas

A numerical method is presented for calculating 3-D unsteady flow through bileaflet heart valves and flexible obstruction. The method combines finite volume, finite element, and overlapping grid methods. The employed overlapping grid method decomposed the entire domain into the solid region, the fluid region in the vicinity of the solid (the inner region), and the outer fluid region. A finite volume scheme was implemented for the outer fluid region, while a finite element scheme was employed in the solid and inner fluid regions. Calculations were carried out for the full 3-D valve geometry under steady inflow conditions with the Reynolds number ranging from 400 to 1200. The numerical results illustrate the evolution of the downstream vortices. The changes in the location and size of the reattachment vortices in response to the change of elastic modulus of solid and Reynolds number of fluids were recorded and tabulated. The results provide the detailed information sketching the evolution of the fluid-structure interaction in terms of the modes and amplitude.


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