Abstract
One of the challenges in modern computational engineering is the simulation of fluid-structure interaction (FSI) phenomena where one of the crucial issues in the multi-physics simulation is the choice of stiffness model for mesh deformation. This paper focuses on the application of iteratively implicit coupling procedure on two transient FSI cases of vortex induced-vibration (VIV) that manifest oscillating flexible structures. The aim is to study various mesh stiffness models in the Laplace equation of diffusion employed within the arbitrary Lagrangian-Eulerian (ALE) methodology to handle the moving mesh. In the first case where a laminar flow interacted with a flexible splitter, it was demonstrated that a near FSI boundaries increased-stiffness model prevails to manage a large deformation of the moving structure as compared to a near volume increased-stiffness model. However, the potential technique could not be exploited to the second FSI configuration, where the effect of the turbulence of flow was included. It was found that the mesh topology near the FSI interface was collapsed. Instead of utilizing the same approach, a mesh stiffness based on a wall distance was found to be auspicious. Thus, the mesh stiffness model in the FSI simulation is case-dependent.
Highlights
Interaction between external or internal flow and deforming or moving structure, so-called as fluid-structure interaction (FSI), is omnipresent in a multitude of engineering systems in aero-acoustics, biomedical engineering, civil engineering, mechanical engineering such as reed valve, heart valve, Tacoma bridge, and wind turbine
As shown in the figure, it was demonstrated that the given stiffness model is not safe to continue with larger deformations in the elastic structure
Various mesh stiffness models in the Laplace equations of diffusion have been studied through the FSI simulation of two vortex induced vibration (VIV) test cases available in the literature
Summary
Interaction between external or internal flow and deforming or moving structure, so-called as fluid-structure interaction (FSI), is omnipresent in a multitude of engineering systems in aero-acoustics, biomedical engineering, civil engineering, mechanical engineering such as reed valve (in musical instrument and refrigeration compressor), heart valve, Tacoma bridge, and wind turbine. A variant of the IB method proposed by Mittal et al [6, 7] was applied by Lee and You [4] in the first FSI problem For the latter case, the turbulent-FSI benchmark is composed of a fixed circular cylinder with an attached rubber at the rear of the cylinder and is immersed in an incompressible turbulent flow at a sub-critical Reynolds number. Considering the fluid mesh deformation, in the ALE approach an observer can move arbitrarily, meaning that the viewer is neither at a fixed position in space nor moves together with a material point. To implement this idea, the fluid integral conservation equations, i.e. the conservation equations of mass and momentum are modified by applying the Leibnitz rule. In the FSI simulation, the transfer of the forces f from the fluid part and of the displacement δ from the solid part takes place on the interface
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