A Three Dimensional Simulation of Fluid-Structure Interaction

2007 ◽  
Author(s):  
Kunlun Liu ◽  
Victor H. Barocas
Keyword(s):  
Reynolds Number ◽  
Finite Element ◽  
Finite Volume ◽  
Heart Valves ◽  
Fluid Structure Interaction ◽  
Three Dimensional ◽  
Grid Method ◽  
Finite Volume Scheme ◽  
Fluid Structure ◽  
Structure Interaction

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.

Response of Submerged Structures by the Finite Element-Cum-Boundary Element Method

2001 ◽  
Author(s):  
C. W. S. To ◽  
M. A. O’Grady
Keyword(s):  
Finite Element ◽  
Boundary Element ◽  
Fluid Structure Interaction ◽  
Three Dimensional ◽  
Problem Size ◽  
Hybrid Strain ◽  
Fluid Structure ◽  
Structure Interaction ◽  
High Convergence Rate ◽  
Shell Finite Element

Abstract A double asymptotic approximation based finite element-cum-boundary element approach for fluid-structure interaction problems is being proposed. In particular a staggered solution scheme has been applied to the analysis of various coupled fluid-structure systems. A stabilization scheme by reformulation, proposed by DeRuntz et al. was employed to circumvent the instability problem. In addition, the singularity in the excitation term was eliminated through a variable transformation as suggested by Everstine. Another feature of the present work is its incorporation of the hybrid strain based lower order triangular shell finite element developed by To and Liu. The eigenvalue solution exhibits high convergence rate for the particular shell finite element employed. The responses calculated exhibit the effectiveness of the proposed approach with application of the aforementioned shell finite element in dealing with three dimensional fluid-structure interaction problems. The reduction in problem size that this approach affords allows these complex interaction problems to be dealt with in a desktop engineering workstation environment, as opposed to the mainframe and supercomputer arenas where they have been implemented in the past.

Comparison of Fluid Structure Interaction Capabilities in Finite Volume and Finite Element Based Codes

2020 ◽  
Author(s):  
Qiyue Lu ◽  
Alfonso Santiago ◽  
Seid Koric ◽  
Paula Cordoba
Keyword(s):  
Finite Element ◽  
Finite Volume ◽  
Fluid Structure Interaction ◽  
Arbitrary Lagrangian Eulerian ◽  
Fluid Structure ◽  
Ale Method ◽  
Structure Interaction ◽  
Commercial Code ◽  
Wide Range ◽  
Volume Method

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.

scholarly journals A cut-cell finite volume – finite element coupling approach for fluid–structure interaction in compressible flow

2016 ◽  
Vol 307 ◽  
pp. 670-695 ◽  
Author(s):  
Vito Pasquariello ◽  
Georg Hammerl ◽  
Felix Örley ◽  
Stefan Hickel ◽  
Caroline Danowski ◽  
...  
Keyword(s):  
Finite Element ◽  
Compressible Flow ◽  
Finite Volume ◽  
Fluid Structure Interaction ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Cut Cell ◽  
Coupling Approach

scholarly journals A Finite Element Formulation for Fluid-Structure Interaction in Three-Dimensional Space

1981 ◽  
Vol 103 (2) ◽  
pp. 183-190 ◽  
Author(s):  
R. F. Kulak
Keyword(s):  
Finite Element ◽  
Dimensional Space ◽  
Equations Of Motion ◽  
Fluid Structure Interaction ◽  
Three Dimensional ◽  
Element Formulation ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Discrete Equations ◽  
Numerical Predictions

In this paper a development is presented for a three-dimensional hexahedral hydrodynamic finite-element. Using trilinear shape functions and assuming a constant pressure field in each element, simple relations were obtained for internal nodal forces. Because the formulation was based upon a rate approach it was applicable to problems involving large displacements. This element was incorporated into an existing plate-shell finite element code. Diagonal mass matrices were used and the resulting discrete equations of motion were solved using an explicit temporal integrator. Results for several problems were presented which compare numerical predictions to closed form analytical solutions. In addition, the fluid-structure interaction problem of a fluid-filled, cylindrical vessel containing internal cylinders was studied. The internal cylinders were cantilever supported from the top cover of the vessel and were periodically located circumferentially at a fixed radius. A pressurized cylindrical cavity located at the bottom of the vessel at its centerline provided the loading.

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