Abstract
After a brief introduction of the governing equations and numerical approaches that are used to simulate wake vortices in the atmosphere associated implications and restrictions are discussed. The complex interaction of turbulence and rotation in the vortex core region is not resolved appropriately and is controlled by the subgrid scale model. A local Richard-son number correction for strong streamline curvature effects is proposed that accounts for stabilizing effects of coherent rotation and reduces vortex core growth rates. Real case simulations demonstrate that LES is capable to reproduce complex wake vortex behaviour as the spectacular rebound observed at London Heathrow Int’l Airport. Various idealized cases with stably stratified, turbulent and sheared environments are used to reveal the mechanisms thatcontrol vortex decay.
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References
Bradshaw, P. (1969) The analogy between streamline curvature and buoyancy in turbulent shear flow, J. Fluid Mech. 36, pp. 177–191
Cotel, A.J. and Breidenthal, R.E. (1999) Turbulence inside a vortex, Phys. Fluids 11, pp. 3026–3029
Deardorff, J.W. (1970) A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers, J. Fluid Mech. 41, pp. 453–480
Gerz, T. and Ehret, T. (1997) Wingtip vortices and exhaust jets during the jet regime of aircraft wakes, Aerospace Sci. Techn. 1, pp. 463–474
Gerz, T. and Holzäpfel, F. (1999), Wingtip vortices, turbulence, and the distribution of emissions, AIAA J. 37, pp. 1270–1276
Greenwood, J.S. and Vaughan, J.M. (1997) Measurements of Aircraft Wake Vortices at Heathrow by Laser Doppler Velocimetry, Air Traffic Control Quarterly 6, pp. 179–203
Hirsch, C. (1995) Ein Beitrag zur Wechselwirkung von Turbulenz und Drall, Ph.D. Dissertation, Universität Karlsruhe
Hofbauer, T. and Gerz, T. (2000) Shear-layer effects on the dynamics of a counter-rotating vortex pair, AIAA Paper 2000-0758
Holzäpfel, F. and Gerz, T. (1999) Two-Dimensional Wake Vortex Physics in the Stably Stratified Atmosphere, Aerospace Sci. Techn. 3, pp. 261–270
Holzäpfel, F., Gerz, T. and Baumann, R. (2001) The turbulent decay of trailing vortex pairs in stably stratified environments, Aerospace Sci. Techn. 5, pp. 95–108
Holzäpfel, F., Gerz, T., Freeh, M. and Dörnbrack, A. (2000) Wake Vortices in a Convective Boundary Layer and Their Influence on Following Aircraft, J. of Aircraft 37, pp. 1001–1007
Holzäpfel, F., Lenze B. and Leuckel W. (1999) Quintuple Hot-Wire Measurements of the Turbulence Structure in Confined Swirling Flows, J. of Fluids Engineering 121, pp. 517–525
Jacquin, L., Fabre, D. and Geffroy, P. (2001) The Properties of a Transport Aircraft Wake in the Extended Near Field: an Experimental Study, AIAA Paper 2001-1038
Jeong, J. and Hussain, F. (1995) On the identification of a vortex, J. Fluid Mech. 285, pp. 69–94
Kaltenbach, H.-J, Gerz, T. and Schumann, U. (1994) Large-eddy simulation of homogeneous turbulence and diffusion in stably stratified shear flow, J. Fluid Mech. 280, pp. 1–40
Kleiser L. and Schumann, U. (1984) Spectral simulations of the laminar-turbulent transition process in plane poiseuille flow, Spectral methods for partial differential equations, SIAM, Philadelphia, pp. 141–163
Proctor, F.H. and Switzer, G.F. (2000) Numerical Simulation of Aircraft Trailing Vortices, 9th Conf. on Aviation, Range and Aerospace Meteorlogy 7.12, pp. 511–516
Risso, F., Corjon, A. and Stoessel, A. (1997) Direct numerical simulations of wake vortices in intense homogeneous turbulence, AIAA J. 35, pp. 1030–1040
Rokhsaz, K., Foster, S.R. and Miller, L.S. (2000) Exploratory Study of Aircraft Wake Vortex Filaments in a Water Tunnel, J. of Aircraft 37, pp. 1022–1027
Schmidt, H. and Schumann, U. (1989) Coherent structure of the convective boundary layer derived from large-eddy simulations, J. Fluid Mech. 200, pp. 511–562
Schumann, U., Hauf, T., Höller, H., Schmidt, H. and Volkert, H. (1987) A mesoscale model for the simulation of turbulence, clouds and flow over mountains: Formulation and validation examples, Beitr. Phys. Atmosph. 60, pp. 413–446
Scotti, A., Meneveau, C. and Lilly, D.K. (1993) Generalized Smagorinsky model for anisotropic grids, Phys. Fluids A 5, pp. 2306–2308
Shaw, R.H. and Schumann, U. (1992) Large-Eddy Simulation of Turbulent Falow above and within a Forrest, Boundary-Layer Meteorology 61, pp. 47–64
Shen, S., Ding, F., Han, J., Lin, Y.-L., Arya S.P. and Proctor, F.H. (1999) Numerical Modeling Studies of Wake Vortices: Real Case Simulations, AIAA Paper 99-0755
Vollmers, H. (2001) Detection of vortices and quantitative evaluation of their main parameters from experimental velocity data, submitted to Meas. Sci. Technol.
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HolzäPfel, F., Hofbauer, T., Gerz, T., Schumann, U. (2002). Aircraft Wake Vortex Evolution and Decay in Idealized and Real Environments: Methodologies, Benefits and Limitations. In: Friedrich, R., Rodi, W. (eds) Advances in LES of Complex Flows. Fluid Mechanics and Its Applications, vol 65. Springer, Dordrecht. https://doi.org/10.1007/0-306-48383-1_19
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DOI: https://doi.org/10.1007/0-306-48383-1_19
Publisher Name: Springer, Dordrecht
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