Validation of a finite difference method for the simulation of vortex-induced vibrations on a circular cylinder

Wanderley, Juan B. V.; Levi, Carlos

doi:10.1016/s0029-8018(01)00014-2

Cited by 17 publications

(4 citation statements)

References 13 publications

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“…Mesh 1 (p = q = 2) Mesh 2 (p = 2; q = 1) Reference CD Results referring to drag coefficient (CD) and geometric characteristics of the recirculation zone obtained behind the circular cylinder are summarized in Table 3, which are defined considering the geometric parameters presented in Figure 15. The present results are compared with numerical predictions obtained by Wanderley and Levi (2002) using a finite difference model, where a good agreement is obtained using both the basis functions proposed here, although results obtained with p = q = 2 are slightly better. It is important to notice that a mesh configuration with p = 2 and q = 1 lead to significant reductions in terms of computational efforts when compared with the processing time spent by the mesh configuration with p = q = 2, considering that full Gauss quadrature is employed here for numerical evaluation of finite element quantities, such as element matrices and vectors.…”

Section: Parametersupporting

confidence: 51%

A NURBS-based finite element formulation for incompressible fluid dynamics and fluid-structure interaction with rigid bodies

Tonon

Tonin

Espath

et al. 2020

Lat. Am. j. solids struct.

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A numerical investigation is performed here using a NURBS-based finite element formulation applied to classical Computational Fluid Dynamics (CFD) and Fluid-Structure Interaction (FSI) problems. Model capabilities related to refinement techniques are analyzed using a finite element formulation with NURBS (non uniform rational B-splines) basis functions, where B-splines and low-order Lagrangian elements can be considered as particular cases. An explicit two-step Taylor-Galerkin model is utilized for discretization of the fundamental flow equations and turbulence is considered using Large Eddy Simulation (LES) and the Smagorinsky's sub-grid scale model. FSI is considered using an ALE kinematic formulation and a conservative partitioned coupling scheme with rigid body approach for large rotations is adopted. CFD and FSI applications are analyzed to evaluate the accuracy associated with the different refinement procedures utilized. Results show that high order basis functions with appropriate refinement and non-uniform parameterization lead to better predictions, compared with low-order Lagrangian models.

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Section: Parametersupporting

confidence: 51%

A NURBS-based finite element formulation for incompressible fluid dynamics and fluid-structure interaction with rigid bodies

Tonon

Tonin

Espath

et al. 2020

Lat. Am. j. solids struct.

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“…The lift force, which is in the transverse direction, has the same frequency as the vortex-shedding cycle, while the frequency of the drag force, which is in the stream direction, is twice of the vortex shedding frequency (Behzad and Hamed, 2010;Wanderley et al, 2002). The drag and lift force coefficients were shown to be continuous over time in Fig.…”

Section: Numerical Parameters (Fluid Forces Acting On Cylinder)mentioning

confidence: 93%

Numerical investigation of flow around circular cylinder with splitter plate

Ahn

Hwang

2015

KSCE J Civ Eng

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The flow around a single circular cylinder with splitter plate was investigated using Computational Fluid Dynamics. The present study investigated the effects of varying splitter plate length and the Reynolds numbers on flow characteristic, such as vortex shedding, drag force, lift force, separation point, pressure, and friction coefficients of the cylinder. It was revealed that the vortex shedding behind cylinder is completely suppressed when the splitter plate length is longer than the critical value, which is proportional to the Reynolds number. The variation of drag and lift coefficients with respect to splitter length can be classified into two patterns of a monotonic decrease and a general decrease but with small increase. We found that the first pattern occurs at Reynolds number ≤ 180 and higher Reynolds number gives the second pattern. When the splitter plate length is similar to the diameter of the cylinder, the vortex frequency, drag, and lift coefficients reach local minimum depending on the Reynolds number. A functional relationship between drag coefficient, length of splitter plate, and Reynolds number was determined.

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“…[27][28][29]. The Beam-Warming central difference scheme is employed to solve the compressible NS equations in [30]. A spectral-element method [31] and second-order Monotone Advection and Reconstruction Scheme [32] were employed to solve incompressible Navier-Stokes equations.…”

Section: Application To Vortex-induced Vibration Flowsmentioning

confidence: 99%

High order conservative differencing for viscous terms and the application to vortex-induced vibration flows

Shen

Zha

Chen

2009

Journal of Computational Physics

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Validation of a finite difference method for the simulation of vortex-induced vibrations on a circular cylinder

Cited by 17 publications

References 13 publications

A NURBS-based finite element formulation for incompressible fluid dynamics and fluid-structure interaction with rigid bodies

A NURBS-based finite element formulation for incompressible fluid dynamics and fluid-structure interaction with rigid bodies

Numerical investigation of flow around circular cylinder with splitter plate

High order conservative differencing for viscous terms and the application to vortex-induced vibration flows

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