Flowfield and vorticity distribution near wing trailing edges

Hirschel, Ernst Heinrich; Fornasier, L.

doi:10.2514/6.1984-421

Cited by 12 publications

(1 citation statement)

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“…No rigorous proof exists, but it is generally thought that a vortex sheet being created at a discontinuous edge is a bona fide solution to the Euler equations. Hirschel & Fornasier (1984) argued that in a potential flow past such a wing, the upper-and lower-surface velocities are in substantial shear relative to each other over much of the chord. The shear disappears only just at the trailing edge, and if that edge is sharp, the numerical solutions to the Euler equations do not seem to obtain this shear cancellation.…”

Section: Features Of Computed Euler Solutionsmentioning

confidence: 99%

On the computation of transonic leading-edge vortices using the Euler equations

Rizzi

Purcell²

1987

J. Fluid Mech.

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Separation from the leading edge of a delta wing with the subsequent roll-up into a vortex has been simulated in numerical solutions to the Euler equations. Such simulations raise a number of questions that are still outstanding, including the process of inviscid separation from a smooth edge, the role of artificial viscosity in the creation and capturing of vortex sheets, the roll-up mechanism and core features, losses in total pressure, and the stability of the vortical flow structures to three-dimensional disturbances. These matters are discussed in the context of two numerical experiments, both carried out in a sequence of three simulations that starts with a coarse-mesh discretization and ends with a fine mesh of over one million cells. The first experiment is for transonic flow, M∞ = 0.7, α = 10°, around a pure delta wing. The sequence converges to the expected classical steady vortex flow. In the second experiment, transonic flow, M∞ = 0.9, α = 8°, past a twisted cranked-and-cropped delta wing, the sequence does not converge. Instead the crank is observed in the fine-mesh solution to set off an instability in the vortex sheet that causes the vortex to burst into a thin chaotic vortical layer embedded in laminar flow. The mesh sequence suggests that it is the shortest waves resolved that are most unstable, but the energy contained in them comes from the large-scale motion and seems to be small.

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Section: Features Of Computed Euler Solutionsmentioning

confidence: 99%