An immersed boundary technique for simulating complex flows with rigid boundary

Su, Shen Wei; Lai, Ming-Chih; Lin, Chao-An

doi:10.1016/j.compfluid.2005.09.004

Cited by 190 publications

(119 citation statements)

References 34 publications

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“…Incompressible viscous flow around circular cylinders is a classical problem in fluid mechanics that has been a topic of interest both numerically and experimentally by many authors (Lai and Peskin, 2000;Ryan et al, 2004;Su et al, 2006). Flows over a bundle of cylinders have been also extensively studied and it can be cited cylinders side by side, in tandem and in staggered configurations (Deng et al, 2006;Sumner et al, 2007;Alam and Zhou, 2007; Lima e Silva et al, 2007;da Silva et al, 2009).…”

Section: Introductionmentioning

confidence: 99%

Numerical simulations of flows over a rotating circular cylinder using the immersed boundary method

Silva¹,

Neto²,

Lima³

et al. 2011

J. Braz. Soc. Mech. Sci. & Eng.

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Section: Introductionmentioning

confidence: 99%

Numerical simulations of flows over a rotating circular cylinder using the immersed boundary method

Silva¹,

Neto²,

Lima³

et al. 2011

J. Braz. Soc. Mech. Sci. & Eng.

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“…In this paper, we follow a similar procedure as that in [10] to determine the force. Mathematically, the forces at the Largrangian points that are used to represent the solid boundary are computed using the formula…”

Section: Numerical Methodologymentioning

confidence: 99%

An Immersed Boundary Method Based on Navier-Stokes Equations in Discrete Stream Function Formulation

Zhang

Wang

2010

ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting: Volume 1, Symposia – Parts A, B, and C

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A new variant of Immersed Boundary method is proposed in the framework of discrete stream function approach for the INTRODUCTIONThe Immersed Boundary (IB) method is a numerical technique for solving flow problems with complex geometries [1] [2]. This technique has gained popularity recently in the community of computational fluid dynamics due to the great simplification of mesh-generation.The IB method was first introduced by Peskin [3] to simulate flow interacting with elastic boundaries. This method was later extended to handle rigid boundaries by using the direct forcing technique [4] [5]. In IB methods for incompressible flows, most frequently used Navier-Stokes solvers are based on primitivevariable formulation and projection or SIMPLE-type methods. The stream-function vorticity formulation is seldom used in conjunction with the IB method, the only exception to the best of our knowledge is [6]. However, due to the limitation of the stream function-vorticity formulation itself, it can only be ap-

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“…We use the direct forcing method [19][20][21] to simulate the flow fields of the wiggling hydrofoils. The central idea of the direct forcing method is to represent the effect of immersed bodies on flows by a virtual volume force f in Eq.…”

Section: Numerical Simulationmentioning

confidence: 99%

“…In this study, the immersed boundary method [18][19][20][21] is used to investigate the effects of wiggling wavelengths on the thrust generation. The wiggling body is modeled by the hydrofoil NACA 65-010.…”

Section: Introductionmentioning

confidence: 99%

Thrust generation and wake structure of wiggling hydrofoil

Zhang

2010

Appl. Math. Mech.-Engl. Ed.

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Marine animals and micro-machines often use wiggling motion to generate thrust. The wiggling motion can be modeled by a progressive wave where its wavelength describes the flexibility of wiggling animals. In the present study, an immersed boundary method is used to simulate the flows around the wiggling hydrofoil NACA 65-010 at low Reynolds numbers. One can find from the numerical simulations that the thrust generation is largely determined by the wavelength. The thrust coefficients decrease with the increasing wavelength while the propulsive efficiency reaches a maximum at a certain wavelength due to the viscous effects. The thrust generation is associated with two different flow patterns in the wake: the well-known reversed Karman vortex streets and the vortex dipoles. Both are jet-type flows where the thrust coefficients associated with the reversed Karman vortex streets are larger than the ones associated with the vortex diploes.

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An immersed boundary technique for simulating complex flows with rigid boundary

Cited by 190 publications

References 34 publications

Numerical simulations of flows over a rotating circular cylinder using the immersed boundary method

Numerical simulations of flows over a rotating circular cylinder using the immersed boundary method

An Immersed Boundary Method Based on Navier-Stokes Equations in Discrete Stream Function Formulation

Thrust generation and wake structure of wiggling hydrofoil

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