Upwind differencing scheme for the time-accurate incompressible Navier-Stokes equations

Rogers, Stuart E.; Kwak, Dochan

doi:10.2514/3.10382

Cited by 410 publications

(110 citation statements)

References 13 publications

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“…Table 1 shows the comparison of characteristic quantities, i.e., C Dmean , C Lamp , and St. The present solution is in good agreement with the reference ones (10), (11) . In order to validate the result with heat transfer, the time averaged local Nusselt number with Re=218 is shown in Fig.7.…”

Section: Virtual Flux Methodssupporting

confidence: 74%

Consolidated Numerical Simulation of Multiple Flows with Heat Transfer using Virtual Flux Method

Nishida

Sasaoka

2009

JFST

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In this paper, the Cartesian grid approach with virtual flux method based on the usual incompressible Navier-Stokes equations is proposed for simulating the incompressible multiple flows with heat transfer. In this approach, the fluxes on the closest grid points to virtual boundary are estimated to satisfy the velocity, pressure and temperature conditions on the virtual boundary. First, the present method is validated in flows around a circular cylinder and a pair of circular cylinders in transverse arrangement. As a result, this approach gives the good flow fields quantitatively in comparison with the reference results. Then, the method is applied to the consolidated simulations of multiple flows with heat transfer between heated and cooling flows. Therefore, it is concluded that the present approach is very fruitful for the consolidated simulation of incompressible complicated multiple flows with heat transfer.

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Section: Virtual Flux Methodssupporting

confidence: 74%

Consolidated Numerical Simulation of Multiple Flows with Heat Transfer using Virtual Flux Method

Nishida

Sasaoka

2009

JFST

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“…(3). Equations (2) and (3) are solved using a algorithm based on the method of artificial compressibility [21,22] . The physical time derivatives in the momentum equation, Eq.…”

Section: Governing Equations Geometric Conservation Law and Numericamentioning

confidence: 99%

Effects of unsteady deformation of flapping wing on its aerodynamic forces

Sun

2008

Appl. Math. Mech.-Engl. Ed.

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Effects of unsteady deformation of a flapping model insect wing on its aerodynamic force production are studied by solving the Navier-Stokes equations on a dynamically deforming grid. Aerodynamic forces on the flapping wing are not much affected by considerable twist, but affected by camber deformation. The effect of combined camber and twist deformation is similar to that of camber deformation. With a deformation of 6% camber and 20 • twist (typical values observed for wings of many insects), lift is increased by 10% ∼ 20% and lift-to-drag ratio by around 10% compared with the case of a rigid flat-plate wing. As a result, the deformation can increase the maximum lift coefficient of an insect, and reduce its power requirement for flight. For example, for a hovering bumblebee with dynamically deforming wings (6% camber and 20 • twist), aerodynamic power required is reduced by about 16% compared with the case of rigid wings.

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“…The governing equations and the numerical method used in this paper is the same as Sun and Tang's paper [7],which was developed by Roger's [14]. The governing equations of the flow are the dimensionless unsteady incompressible NavierStokes equations in the inertial frame XYZ (see Fig.…”

Section: Methodsmentioning

confidence: 99%

“…The numerical scheme developed by Rogers [14] was used to simulate the unsteady flowfields of three modes of the fruit fly flapping and this new bionic flapping. The flapping parameters used in the simulations were obtained from the observations and the experiments of Weis-Fogh, Vogel and Dickinson etc.…”

Section: Introductionmentioning

confidence: 99%

A new bionic MAV’s flapping motion based on fruit fly hovering at low Reynolds number

Bai

Cui

et al. 2007

Acta Mech Sin

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On the basis of the studies on the high unsteady aerodynamic mechanisms of the fruit fly hovering the aerodynamic advantages and disadvantages of the fruit fly flapping motion were analyzed. A new bionic flapping motion was proposed to weaken the disadvantages and maintain the advantages, it may be used in the designing and manufacturing of the micro air vehicles (MAV's). The translation of the new bionic flapping motion is the same as that of fruit fly flapping motion. However, the rotation of the new bionic flapping motion is different. It is not a pitching-up rotation as the fruit fly flapping motion, but a pitching-down rotation at the beginning and the end of a stroke. The numerical method of 3rd-order Roe scheme developed by Rogers was used to study these questions. The correctness of the numerical method and the computational program was justified by comparing the present CFD results of the fruit fly flapping motion in three modes, i.e., the advanced mode, the symmetrical mode and the delayed mode, with Dickinson's experimental results. They agreed with each other very well. Subsequently, the aerodynamic characteristics of the new bionic flapping motion in three modes were also numerically simulated, and were compared with those of the fruit fly flapping. The conclusions could be drawn that the high unsteady lift mechanism of the fruit fly hovering is also effectively utilized by this new bionic flapping. Compared with the fruit fly flapping, the unsteady drag of the new flapping decreases very much and the ratio of lift to drag increases greatly. And the great discrepancies among the mean lifts of three flapping The project supported by the modes of the fruit fly hovering are effectively smoothed in the new flapping. On the other hand, this new bionic flapping motion should be realized more easily. Finally, it must be pointed out that the above conclusions were just drawn for the hovering flapping motion. And the aerodynamic characteristics of the new bionic flapping motion in forward flight are going to be studied in the next step.

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Upwind differencing scheme for the time-accurate incompressible Navier-Stokes equations

Cited by 410 publications

References 13 publications

Consolidated Numerical Simulation of Multiple Flows with Heat Transfer using Virtual Flux Method

Consolidated Numerical Simulation of Multiple Flows with Heat Transfer using Virtual Flux Method

Effects of unsteady deformation of flapping wing on its aerodynamic forces

A new bionic MAV’s flapping motion based on fruit fly hovering at low Reynolds number

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