Unsteady Flow past a Flat Plate Normal to the Direction of Motion

Taneda, Sadatoshi; Honji, Hiroyuki

doi:10.1143/jpsj.30.262

Cited by 85 publications

(53 citation statements)

References 11 publications

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“…Figure 19 shows the temporal variation of the computed bubble length (which is the length of the region of reverse flow on the centerline behind the plate normalized by plate height) obtained from the current simulations. Also included in the plot are results from the experiments of Taneda & Honji [43] and simulations of Koumoutsakos & Shiels [18] and we find an excellent match between the three data sets. Note also that this case demonstrates the ability of the solver to handle infinitesimally thin (membraneous) bodies.…”

Section: Suddenly Accelerated Normalmentioning

confidence: 57%

A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries

Mittal

Dong

Bozkurttas

et al. 2008

Journal of Computational Physics

993

768

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A sharp interface immersed boundary method for simulating incompressible viscous flow past threedimensional immersed bodies is described. The method employs a multi-dimensional ghost-cell methodology to satisfy the boundary conditions on the immersed boundary and the method is designed to handle highly complex three-dimensional, stationary, moving and/or deforming bodies. The complex immersed surfaces are represented by grids consisting of unstructured triangular elements; while the flow is computed on non-uniform Cartesian grids. The paper describes the salient features of the methodology with special emphasis on the immersed boundary treatment for stationary and moving boundaries. Simulations of a number of canonical two-and three-dimensional flows are used to verify the accuracy and fidelity of the solver over a range of Reynolds numbers. Flow past suddenly accelerated bodies are used to validate the solver for moving boundary problems. Finally two cases inspired from biology with highly complex three-dimensional bodies are simulated in order to demonstrate the versatility of the method.

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Section: Suddenly Accelerated Normalmentioning

confidence: 57%

A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries

Mittal

Dong

Bozkurttas

et al. 2008

Journal of Computational Physics

993

768

View full text Add to dashboard Cite

show abstract

“…Fig. 4 depicts how the vortex length normalized by the plate length, s/d, grows as a function of time and compares the simulation results with those of Taneda and Honji (Taneda and Honji, 1971). The vortex length is defined as the distance of the rear stagnation point from the plate (see Fig.…”

Section: Validation and Verificationmentioning

confidence: 96%

“…This leads to the formation of twin vortices behind the flat plate. The development of such vortices was studied experimentally by Taneda and Honji (Taneda and Honji, 1971). For validation, we choose their case with Re=126 to compare with their experimental results.…”

Section: Validation and Verificationmentioning

confidence: 99%

The hydrodynamics of ribbon-fin propulsion during impulsive motion

Shirgaonkar

Curet

Patankar

et al. 2008

Journal of Experimental Biology

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SUMMARYWeakly electric fish are extraordinarily maneuverable swimmers, able to swim as easily forward as backward and rapidly switch swim direction, among other maneuvers. The primary propulsor of gymnotid electric fish is an elongated ribbon-like anal fin. To understand the mechanical basis of their maneuverability, we examine the hydrodynamics of a non-translating ribbon fin in stationary water using computational fluid dynamics and digital particle image velocimetry (DPIV) of the flow fields around a robotic ribbon fin. Computed forces are compared with drag measurements from towing a cast of the fish and with thrust estimates for measured swim-direction reversals. We idealize the movement of the fin as a traveling sinusoidal wave, and derive scaling relationships for how thrust varies with the wavelength, frequency, amplitude of the traveling wave and fin height. We compare these scaling relationships with prior theoretical work. The primary mechanism of thrust production is the generation of a streamwise central jet and the associated attached vortex rings. Under certain traveling wave regimes, the ribbon fin also generates a heave force, which pushes the body up in the body-fixed frame. In one such regime, we show that as the number of waves along the fin decreases to approximately two-thirds, the heave force surpasses the surge force. This switch from undulatory parallel thrust to oscillatory normal thrust may be important in understanding how the orientation of median fins may vary with fin length and number of waves along them. Our results will be useful for understanding the neural basis of control in the weakly electric knifefish as well as for engineering bio-inspired vehicles with undulatory thrusters. Supplementary material available online at

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“…The second term in (14), proportional to At and involving volume integration, is +At([w x V x U" + (w.V)U" -w(V.U")],(U"*V)U").…”

Section: Convection Phasementioning

confidence: 99%

A fractional‐step Taylor–Galerkin method for unsteady incompressible flows

Laval

Quartapelle

1990

Numerical Methods in Fluids

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SUMMARYThis paper describes the application of the Taylor-Galerkin method to the calculation of incompressible viscous flows. A finite element fractional-step method for the Navier-Stokes equations is combined with the Taylor-Galerkin method to achieve an accurate treatment of the convection part of the problem. A scheme of second-order accuracy in time for the non-linear convection written in non-conservative form is presented. Numerical results are provided to illustrate the quality of the computed transient solutions in two dimensions.

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Unsteady Flow past a Flat Plate Normal to the Direction of Motion

Cited by 85 publications

References 11 publications

A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries

A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries

The hydrodynamics of ribbon-fin propulsion during impulsive motion

A fractional‐step Taylor–Galerkin method for unsteady incompressible flows

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