Study on a Self-Propelled Fish Swimming in Viscous Fluid by a Finite Element Method

Tian, Fang-Bao; Xu, Yuanqing; Tang, Xiaoying; Deng, Yulin

doi:10.1142/s0219519413400125

Cited by 16 publications

(9 citation statements)

References 38 publications

(35 reference statements)

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“…So far, the influences of fish-like motions on the propulsive performance have been explored by biological experiments [2], robotic fish [3] and by numerical simulations [8][9][10][11]. By comparison, the body movements in both the biological experiments and the robotic fish cannot be controlled as desired.…”

Section: Introductionmentioning

confidence: 99%

“…However, the numerical simulations offer an effective tool to model the swimming fish with any described motions, and the flow characteristics and hydrodynamic force can be also calculated simultaneously. For example, Carling [8] and Tian [10,11] built a self-propelled fish model which swam in viscous flow, using the finite difference method and the finite element method, respectively. Borazjani and Sotiropoulos [9] use the curvilinear-immersed boundary (IB) method to investigate the influences of the body shape and midline motions on the swimming performance of a mackerel fish.…”

Section: Introductionmentioning

confidence: 99%

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CFD Studies of the Effects of Waveform on Swimming Performance of Carangiform Fish

Cui¹,

Gu²,

Li³

et al. 2017

Applied Sciences

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Carangiform fish, like mackerel, saithe and bass, swim forward by rhythmically passing body waves from the head to the tail. In this paper, the undulating motions are decomposed into the travelling part and the standing part by complex orthogonal decomposition (COD), and the ratio between these two parts, i.e., the travelling index, is proposed to analyse the waveform of fish-like movements. To further study the relative influences of the waveform on swimming performance, a self-propelled model of carangiform fish is developed by the level set/immersed boundary (LS-IB) method, and the in-house code is tested by two cases of flow past a sphere and an oscillating cylinder, respectively. In this study, the travelling index is varied in ranges up to 50% larger or smaller than the biological data. The results show that carangiform fish seem to favour a fast and efficient swimming motion with a travelling index of around 0.6. Meanwhile, we study several numerical cases with different amplitude coefficients (0.5~1.1) and tail-beat frequency (2 Hz~5 Hz), and then compare their swimming performance with each other. We found that the forward speed is closely related to the travelling index and tail-beat frequency, while the swimming efficiency is increased with the tail-beat frequency and amplitude coefficient. These results are also consistent with biological observations, and they might provide beneficial guidance with respect to the future design of robotic fish.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

CFD Studies of the Effects of Waveform on Swimming Performance of Carangiform Fish

Cui¹,

Gu²,

Li³

et al. 2017

Applied Sciences

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“…浸入边界法最初是针对不可压缩流动而设计的, 并广泛应用于各类问题 [3,11,[15][16][17] , 近年来, 在可压缩流动中应用的研究也逐渐展开 [8,14,[18][19][20][21] . 目前, 浸入边界法已经在很多领域都得到了成功的应用, 如仿生人工拍翼飞行器 [22,23] 、仿生鱼机器人 [24] 、细胞的运动 [25,26] 、水下拍翼发电装置 [27] 、弹性板在超声速流中的振动 [8,21] 等.…”

Section: 引言unclassified

Recent progress of immersed boundary method and its applications in compressible fluid flow

Wang¹,

Tian²

2018

Sci. Sin.-Phys. Mech. Astron.

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“…Our DSD/SST package has also been validated and applied to several problems. 38,39,47,52,55,83,84 The structural package was validated in Ref. 39.…”

Section: Validation Of the Fsi Solvermentioning

confidence: 99%

An FSI solution technique based on the DSD/SST method and its applications

Tian

Wang

Young

et al. 2015

Math. Models Methods Appl. Sci.

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Communicated by T. E. TezduyarThis paper presents a fluid-structure interaction (FSI) solution technique in which the incompressible fluid dynamics involving moving boundaries is solved with the deformingspatial-domain/stabilized space-time (DSD/SST) method and the structural dynamics is solved with the finite difference (FD) method. The DSD/SST and FD solvers are coupled by an implicit partitioned coupling strategy based on staggered subiterations. Three types of relaxation are applied on the FSI surface velocity and hydrodynamic force. The first one is applied to delay the coupling conditions at the beginning of each simulation; the second one is applied to relax the increment during each subiteration; and the third one is applied to filter high frequency oscillations between each time step. A pitching plate in a uniform flow is calculated to validate the FSI technique. The present results are in good agreement with data predicted by other methods. In addition, two problems are calculated to demonstrate the capability of this solver: an orbital flow over flapping foil propulsion and energy harvesting and a flexible plate in a cavity excited by an external force. An FSI solution technique 3expense. The mesh moves following the immersed boundary motion every time step if moving boundaries are involved, and may be regenerated if the distortion of elements is severe. The advantage of these methods is that the boundary conditions can be directly imposed and thus it has high-order accuracy near the boundary. This treatment could be computationally expensive and complicated, especially for the cases involving complex geometries and large displacements/deformations. The DSD/SST method is one of the earliest space-time formulations for fluid dynamics simulations involving moving boundaries and interfaces. This method is based on stabilized finite element formulations written over the space-time domain of the fluid. In this method, the streamline-upwind/Petrov-Galerkin 42,43 and pressurestabilizing/Petrov-Galerkin 25,44 formulations are the stabilization strategies used to prevent numerical instabilities encountered in solving flow problems with high Reynolds number, high Mach number, shocks or strong boundary layers, and when using equal-order interpolation functions for both velocity and pressure. In addition, the DSD/SST method allows the spatial domain at various time levels to vary without introducing additional interpolation routines if the grid topology is preserved, and thus can be effectively applied to fluid dynamics computations involving moving boundaries and interfaces. 25-27 Since the work by Tezduyar et al. [25][26][27] the DSD/SST formulation has been extensively used to simulate problems involving moving boundaries and FSI. Some examples of these applications are animal swimming and flight, 39,45-55 flag flapping, 29,34 spacecraft parachutes, 56-68 cardiovascular fluid mechanics, 69-75 wind-turbine aerodynamics, 76-80 and non-Newtonian flow. 38,81 Some of these applications have been reported in two rece...

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Study on a Self-Propelled Fish Swimming in Viscous Fluid by a Finite Element Method

Cited by 16 publications

References 38 publications

CFD Studies of the Effects of Waveform on Swimming Performance of Carangiform Fish

CFD Studies of the Effects of Waveform on Swimming Performance of Carangiform Fish

Recent progress of immersed boundary method and its applications in compressible fluid flow

An FSI solution technique based on the DSD/SST method and its applications

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