A strongly coupled, embedded-boundary method for fluid–structure interactions of elastically mounted rigid bodies

Yang, Jianming; Preidikman, Sergio; Balaras, Elias

doi:10.1016/j.jfluidstructs.2007.08.002

Cited by 154 publications

(119 citation statements)

References 30 publications

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“…An important outcome of the study was the occurrence of the type of branching behaviour that had been previously observed only at higher Reynolds numbers (Feng, 1968;Khalak and Williamson, 1999;Willden, 2006). Yang et al (2008) were able to match the responses of Leontini et al (2006) very accurately.…”

Section: Free and Prescribed Vibrations Of Rigid Circular Cylindersmentioning

confidence: 82%

“…Several different variants of the IMB method have evolved since the 1970s, which can be grossly divided into direct or feedback forcing methods (Fadlun et al, 2000;Kempe and Fröhlich, 2012;Kim et al, 2001;Lai and Peskin, 2000;Shin et al, 2008;Tseng and Ferziger, 2003;Uhlmann, 2005a;Yang and Balaras, 2006;Yang et al, 2009;Yu and Shao, 2007), sharp-interface cut-cell methods (Seo and Mittal, 2011;Udaykumar et al, 2001) and hybrid versions of the two (Gilmanov and Sotiropoulos, 2005). Regarding circular cylinder flows, the studies of Borazjani and Sotiropoulos (2009), Gazzola et al (2011), Kim and Choi (2006), Kolomenskiy and Scheider (2009) and Yang et al (2008) constitute a selection of studies in which flow past various arrangements of single or tandem cylinders that were either stationary, freely vibrating or a combination of the two, have been investigated using the IBM. The IBM continues to grow in popularity as a result of the considerable advantages it offers over body-fitted approaches, and can be considered as a stateof-the-art numerical method for the computation of complex FSI problems.…”

Section: Free and Prescribed Vibrations Of Rigid Circular Cylindersmentioning

confidence: 99%

“…In all cases, the peak amplitude of vibration was in reasonable agreement with the experiments but the reduced velocity at which the peak occurred and the range of reduced velocities over which fluid dynamic excitation was observed were somewhat less so. Yang and Balaras (2006) and Yang et al (2008) also chose these experiments as a validation benchmark for their IBM approach, which employed momentum forcing to reconstruct the velocity field near the cylinder surface without smearing the sharp interface and introduced the concept of field extension to deal with the potentially problematic issue of freshly cleared grid cells or points (i.e. those that change from a solid cell or point to a fluid cell or point in two successive time steps).…”

Section: Free and Prescribed Vibrations Of Rigid Circular Cylindersmentioning

confidence: 99%

“…This can be approximated as a massspring-damper system of mass m, with damper coefficient c and spring constant k. The non-dimensional form of the equation of motion, which describes the movement of the structure that is displaced transversely to the flow as a result of fluid forces and structural properties, is an ordinary differential equation and is written as (e.g. Yang et al, 2008) 8:…”

Section: Structure Solvermentioning

confidence: 99%

“…The experiments covered cylinder Reynolds numbers between Re = 90 and 140 with reduced velocities ranging from U red = 5·02 to 7·81. In addition to the experimental data, numerical simulation results (Kara et al, 2012b;Li et al, 2002;Nomura, 1993;Schulz and Kallinderis, 1998;Wei et al, 1995;Yang et al, 2008) are available for model comparison. Figure 8 shows a schematic representation of a cylinder that is elastically mounted and is allowed to move in the transverse direction.…”

Section: Viv Of a Circular Cylinder In The Transverse Directionmentioning

confidence: 99%

See 4 more Smart Citations

Calculation of fluid–structure interaction: methods, refinements, applications

Kara¹,

McSherry²,

Stoesser³

2015

Proceedings of the Institution of Civil Engineers - Engineering

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Section: Free and Prescribed Vibrations Of Rigid Circular Cylindersmentioning

confidence: 82%

Section: Free and Prescribed Vibrations Of Rigid Circular Cylindersmentioning

confidence: 99%

Section: Free and Prescribed Vibrations Of Rigid Circular Cylindersmentioning

confidence: 99%

Section: Structure Solvermentioning

confidence: 99%

Section: Viv Of a Circular Cylinder In The Transverse Directionmentioning

confidence: 99%

See 3 more Smart Citations

Calculation of fluid–structure interaction: methods, refinements, applications

Kara¹,

McSherry²,

Stoesser³

2015

Proceedings of the Institution of Civil Engineers - Engineering

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Simulation of flow‐flexible body interactions with large deformation

Uddin

Sung

2011

Numerical Methods in Fluids

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SUMMARY A modified front‐tracking method was proposed for the simulation of fluid‐flexible body interactions with large deformations. A large deformable body was modeled by restructuring the body using a grid adaptation. Discontinuities in the viscosity at the fluid‐structure interface were incorporated by distributing the viscosity across the interface using an indicator function. A viscosity gradient field was created near the interface, and a smooth transition occurred between the structure and the fluid. The fluid motion was defined on the Eulerian domain and was solved using the fractional step method on a staggered Cartesian grid system. The solid motion was described by Lagrangian variables and was solved by the finite element method on an unstructured triangular mesh. The fluid motion and the structure motion were independently solved, and their interaction force was calculated using a feedback law. The interaction force was the restoring force of a stiff spring with damping, and spread from the Lagrangian coordinates to the Eulerian grid by a smoothed approximation of the Dirac delta function. In the numerical simulations, we validated the effect of the grid adaptation on the solid solver using a vibrating circular ring. The effects of the viscosity gradient field were verified by solving the deformation of a circular disk in a linear shear flow, including an elastic ring moving through a channel with constriction, deformation of a suspended catenary, and a swimming jellyfish. A comparison of the numerical results with the theoretical solutions was presented. Copyright © 2011 John Wiley & Sons, Ltd.

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Efficient coupling of direct forcing immersed boundary‐lattice Boltzmann method and finite element method to simulate fluid‐structure interactions

Qin

Andreopoulos

Jiang

et al. 2019

Numerical Methods in Fluids

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Fluid-structure interactions (FSI) of rigid and flexible bodies are simulated in this article. For the fluid flow, multidirect forcing immersed boundary method (IBM) is adopted to capture the moving boundary, and lattice Boltzmann method (LBM) is used to evolve the flow field. Compared with our previous no-penetration IBM, less iterations are required in this work. In addition, larger velocity in lattice units can be used and the nonphysical force oscillations are suppressed due to the C 3 6-point kernel. Multi-relaxation-time collision operator and local grid refinement are also adopted in LBM to enhance the numerical stability and efficiency. To improve the efficiency of the FSI coupling algorithm, the mesh of the deformable structure can be coarser than the Lagrangian mesh using Newton-Cotes formulas to integrate the traction on the structure surface. A variety of benchmarks, including flow around a circular cylinder with Reynold number ranging from 20 to 200, forced oscillation of a circular cylinder, vortex-induced vibration (VIV) of an elastically mounted circular cylinder in two degrees of freedom, and VIV of an elastic cantilever beam attached to a circular cylinder, are carried out to evaluate the accuracy and stability of the present coupling algorithm. For the benchmark FSI problem considered in this article, a reduction of 54% of the calculation time is achieved using coarser structure mesh. As an application of the FSI coupling algorithm, the mechanism of an elastic beam in the wake of a circular cylinder is discussed. K E Y W O R D Sdirect forcing immersed boundary method, finite difference lattice Boltzmann method, fluid-structure interactions, nonphysical force oscillation, vortex-induced vibration INTRODUCTIONFluid-structure interaction (FSI) occurs as some movable structures immersed in an ambient fluid. As the structure moves, no-slip boundary condition has to be satisfied in the flow field. At the same time, the forces obtained Int J Numer Meth Fluids. 2020;92:545-572. wileyonlinelibrary.com/journal/fld

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A strongly coupled, embedded-boundary method for fluid–structure interactions of elastically mounted rigid bodies

Cited by 154 publications

References 30 publications

Calculation of fluid–structure interaction: methods, refinements, applications

Calculation of fluid–structure interaction: methods, refinements, applications

Simulation of flow‐flexible body interactions with large deformation

Efficient coupling of direct forcing immersed boundary‐lattice Boltzmann method and finite element method to simulate fluid‐structure interactions

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