Summary
A cell-centered central-difference finite-volume Euler method is applied to the steady subsonic flow about a 65-deg sharp-edged cropped delta wing at incidences close to the incidence at which leading-edge vortex breakdown is observed in wind tunnel experiments. Above a critical value of the incidence the pseudo-time dependent numerical procedure fails to attain a steady-state solution. For the case of subsonic leading-edge vortex flow the occurrence of “solution breakdown” indicates the limits of the domain of applicability of the steady-flow Euler method. In the search for the critical incidence it is found that for a given grid and for a given setting of the parameters controlling the artificial dissipation two distinct, steady-state solutions exist. Analysis of the two solutions obtained at one incidence reveals that within the vortex core above the aft part of the wing these solutions feature remarkably different velocity and vorticity distributions.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Murman, E.M., Rizzi, A.: Applications of Euler Equations to Sharp-Edged Delta Wings with Leading Edge Vortices. ACARD CP412, Paper 15 (1986).
Longo, J.M.A.: The Role of the Numerical Dissipation on the Computational Euler-Equations-Solutions for Vortical Flows. AIAA Paper 89–2232 (1989).
Hitzel, S.M.: Wing Vortex-Flows up into Vortex Breakdown. A Numerical Simulation. AIAA Paper 89–2232 (1989).
O’Neill, P.J., Barnett, R.M., Louie, C.M.: Numerical Simulation of Leading-Edge Vortex Breakdown using an Euler Code. AIAA Paper 89–2189 (1989).
Raj, P., Sikora, J.S., Keen, J.M.: Free-Vortex Flow Simulation using a Three-Dimensional Euler Aerodynamic Method. J. of Aircraft, Vol. 25, No. 2 (1988).
Hoeijmakers, H.W.M., van den Berg, J.I.: Application of an Euler-Equation Method to a Sharp-Edged Delta-Wing Configuration with Vortex Flow. AIAA Paper 91–3310 (1991). Also NLR TP 91306.
van den Berg, J.I., Hoeijmakers, H.W.M., Sytsma, H.A.: Numerical Investigation into High-Angle-of-Attack Leading-Edge Vortex Flow. AIAA Paper 922600 (1992). Also NLR TP 92248 (1992).
Peckham, P.D., Atkinson, S.A.: Preliminary Results of Low Speed Wind Tunnel Tests on a Gothic Wing of Aspect Ratio 1.0. ARC Rep. CP-508 (1957).
Elle, B.J.: An Investigation at Low Speed of the Flow near the Apex of Thin Delta Wings with Sharp Leading Edges. ARC Rep. RandM. No. 3176 (1958).
Lambourne, N.C., Bryer, D.W.: The Bursting of Leading-Edge Vortices. Some Observations and Discussion of the Phenomenon. ARC Rep. RandM. No. 3282 (1961).
Ekaterinaris, J.A., Schiff, L.B.: Numerical Simulation of the Effects of Variation of Angle of Attack and Sweep Angle on Vortex Breakdown over Delta Wings. AIAA-90–3000 (1990).
Hall, M.G.: Vortex Breakdown. Annual Review of Fluid Mechanics, Vol. 4, pp. 195–218 (1972).
Elsenaar, A., Hoeijmakers, H.W.M.: An Experimental Study of the Flow Over a Sharp-Edged Delta Wing at Subsonic and Transonic Speeds. AGARD CP-494, Paper 15 (1991).
Boerstoel, J.W., Spekreijse, S.P., Vitagliano, P.L.: The Design of a System of Codes for Industrial Calculations around Aircraft and Other Complex Aerodynamic Configurations. AIAA Paper 92–2619 (1992).
Jameson, A., Schmidt, W., Turkel, E.: Numerical Solution of Euler Equations by Finite Volume Methods Using Runge-Kutta Time-Stepping Scheme. AIAA Paper 81–1259 (1981).
Hall, M.G.: A Theory for the Core of a Leading-Edge Vortex. JFM, Vol. 11, pp. 209–227 (1961).
Stewartson, K., Hall, M.G.: The Inner Viscous Solution for the Core of a Leading-Edge Vortex. JFM, Vol. 15, pp. 306–318 (1963).
Hoeijmakers, H.W.M.: Numerical Simulation of Leading-Edge Vortex Flow. NLR TP 91471 (1991).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hoeijmakers, H.W.M. (1993). Aspects of the Modeling and Numerical Simulation of Leading-Edge Vortex Flow. In: Kawamura, R., Aihara, Y. (eds) Fluid Dynamics of High Angle of Attack. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-52460-8_12
Download citation
DOI: https://doi.org/10.1007/978-3-642-52460-8_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-52462-2
Online ISBN: 978-3-642-52460-8
eBook Packages: Springer Book Archive