VIV Simulation of 2-D Deformable Cylinder Using Coupled FDM/FEM Method

2012 ◽  
Author(s):  
Changhong Hu ◽  
Kangping Liao ◽  
Wengyang Duan
Keyword(s):  
Fluid Dynamics ◽  
Numerical Simulation ◽  
Circular Cylinder ◽  
Structural Dynamics ◽  
Vortex Shedding ◽  
Immersed Boundary Method ◽  
Immersed Boundary ◽  
Fem Method ◽  
Deformable Cylinder ◽  
Data Transferring

In this work a coupled finite difference method and finite element method (FDM/FEM) is developed for numerical simulation of vortex induced vibration (VIV) phenomenon with an elastically deformable circular cylinder. The algorithm is based on a FDM with CIP (Constraint Interpolation Profile) method to fluid dynamics and a FEM to solve structural dynamics. Coupling between FDM and FEM is realized by BGS (Block Gauss-Seidel) procedure. IB (Immersed Boundary) method is applied for data transferring on the interface between fluid and structure. In this paper, numerical simulations of a 2-D circular cylinder at low Reynolds number are carried out. The effect of stiffness of the cylinder shell on the vortex shedding is investigated.

Optimization of Biomimetic Propulsive Kinematics of a Flexible Foil Using Integrated Computational Fluid Dynamics–Computational Structural Dynamics Simulations

2018 ◽  
Vol 141 (6) ◽  
Author(s):  
Jiho You ◽  
Jinmo Lee ◽  
Seungpyo Hong ◽  
Donghyun You
Keyword(s):  
Fluid Dynamics ◽  
Computational Fluid Dynamics ◽  
Young’S Modulus ◽  
Phase Angle ◽  
Structural Dynamics ◽  
Stokes Equations ◽  
Young's Modulus ◽  
Immersed Boundary ◽  
Computational Structural Dynamics ◽  
Dynamics Simulations

A computational methodology, which combines a computational fluid dynamics (CFD) technique and a computational structural dynamics (CSD) technique, is employed to design a deformable foil whose kinematics is inspired by the propulsive motion of the fin or the tail of a fish or a cetacean. The unsteady incompressible Navier–Stokes equations are solved using a second-order accurate finite difference method and an immersed-boundary method to effectively impose boundary conditions on complex moving boundaries. A finite element-based structural dynamics solver is employed to compute the deformation of the foil due to interaction with fluid. The integrated CFD–CSD simulation capability is coupled with a surrogate management framework (SMF) for nongradient-based multivariable optimization in order to optimize flapping kinematics and flexibility of the foil. The flapping kinematics is manipulated for a rigid nondeforming foil through the pitching amplitude and the phase angle between heaving and pitching motions. The flexibility is additionally controlled for a flexible deforming foil through the selection of material with a range of Young's modulus. A parametric analysis with respect to pitching amplitude, phase angle, and Young's modulus on propulsion efficiency is presented at Reynolds number of 1100 for the NACA 0012 airfoil.

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