Parallel computing strategy for a flow solver based on immersed boundary method and discrete stream-function formulation

Wang, Shizhao; He, Guowei; Zhang, Xing

doi:10.1016/j.compfluid.2013.09.001

Cited by 36 publications

(15 citation statements)

References 31 publications

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“…Thus, the combination of the log-conformation representation and the pure streamfunction formulation yields a robust numerical method for the simulation of viscoelastic flow. The present work focuses on two-dimensional viscoelastic flows; however, the pure streamfunction formulation can also be implemented in three-dimensions, see for instance [61].…”

Section: Introductionmentioning

confidence: 99%

Robust simulations of viscoelastic flows at high Weissenberg numbers with the streamfunction/log-conformation formulation

Comminal

Spangenberg

Hattel

2015

Journal of Non-Newtonian Fluid Mechanics

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Section: Introductionmentioning

confidence: 99%

Robust simulations of viscoelastic flows at high Weissenberg numbers with the streamfunction/log-conformation formulation

Comminal

Spangenberg

Hattel

2015

Journal of Non-Newtonian Fluid Mechanics

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“…In this sense, the wing geometric and kinematic model in this work is a combination of the two different bat species which serves as a generic bat model. [14] and Wang et al [15,16]. In this work, the Reynolds number based on the mean chord length and the freestream velocity is…”

mentioning

confidence: 98%

Numerical simulation of unsteady flows over a slow-flying bat

Wang

Zhang

et al. 2015

Theoretical and Applied Mechanics Letters

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This letter describes numerical simulation of the unsteady flow over a slow-flying bat by using the immersed boundary method based on the measured bat wing geometry and kinematics. The main vortical structures around the bat flapping wings are identified, illuminating the lift-generating role of the leading-edge vortices generated mainly in the downstroke. Furthermore, the lift decomposition indicates that the vortex lift has the dominant contribution to the time-averaged lift and the lift associated with the fluid acceleration has the relatively moderate effect.

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“…The algebraic multigrid method is used to solve the linear systems arising from the discretization. The code is parallelized using the message passing interface protocol [24]. The dynamics equations (3) are solved by using the explicit Eulerian scheme for the temporal discretization.…”

Section: B Flow and Dynamics Solversmentioning

confidence: 99%

Locomotion of a bioinspired flyer powered by one pair of pitching foils

Zhang

Wang

2018

Phys. Rev. Fluids

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We numerically investigate the flight dynamics and aerodynamics of a two-dimensional model for the jellyfishlike ornithopter recently devised by Ristroph and Childress [L. Ristroph and S. Childress, J. R. Soc. Interface 11, 20130992 (2014)]. This simplified model is composed of two rigid thin foils which are forced to pitch in antiphase fashion. The Navier-Stokes equations for the fluid and the dynamics equations for the flyer are solved together in the simulations. We first consider the constrained-flying condition where the flyer model is only allowed to move in the vertical direction. The influences of the control parameters on the hovering performance are studied. With the variations in parameter values, three different locomotion states, i.e., ascending, descending, and approximate hovering, are identified. The wake structures corresponding to these three locomotion states are explored. It is found that the approximate hovering state cannot persist due to the occurrence of wake symmetry breaking after long-time simulation. We then consider the free-flying condition where the motions in three degrees of freedom are allowed. We study the postural stability of a flyer, with its center of gravity located at the geometric center. The responses of the flyer at different locomotion states to physical and numerical perturbations are examined. Our results show that the ascending state is recoverable after the perturbation. The descending state is irrecoverable after the perturbation and a mixed fluttering and tumbling motion which resembles that of a falling card emerges. The approximate hovering state is also irrecoverable and it eventually transits to the ascending state after the perturbation. The research sheds light on the lift-producing mechanism and stability of the flyer and the results are helpful in guiding the design and optimization of the jellyfishlike flying machine.

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Parallel computing strategy for a flow solver based on immersed boundary method and discrete stream-function formulation

Cited by 36 publications

References 31 publications

Robust simulations of viscoelastic flows at high Weissenberg numbers with the streamfunction/log-conformation formulation

Robust simulations of viscoelastic flows at high Weissenberg numbers with the streamfunction/log-conformation formulation

Numerical simulation of unsteady flows over a slow-flying bat

Locomotion of a bioinspired flyer powered by one pair of pitching foils

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