Numerical Optimization of Plate-Line Design for Enhanced Wake-Vortex Decay

The design of plate lines as a ground-mounted device for wake-vortex decay enhancement is investigated in this work. The most important design parameters, the aspect ratio and plate distance, are analyzed for the wake vortices generated by two aircraft: the A340 as well as the A380. Large-eddy-simulations are used to simulate the wake-vortex evolution in ground proximity for different parameter combinations. Fully rolled-up wake vortices are initialized using a Lamb–Oseen vortex model resembling the characteristics of the two aircraft. With the stochastic so-called kriging method, estimates of the performance and respective probabilistic envelopes are given for the design parameter region, spanned by the large-eddy-simulation. The vortex circulation averaged over the rapid decay phase is taken as the objective function. The large-eddy-simulation parameters are selected in the vicinity of the expected optimum. An optimal parameter combination can be localized in the A340 case, as well as in the A380 case. For both cases, statistical relevance is provided. Moreover, it can be deduced that the optimal parameters for the A380 are also well suited for smaller aircraft like an A340.

[1]  Thomas Gerz,et al.  Commercial aircraft wake vortices , 2002 .

[2]  C. H. John Wang,et al.  Near ground aircraft wake dissipation with obstacles , 2015 .

[3]  P. K. Kitanidis,et al.  Introduction to Geostatistics: Index , 1997 .

[4]  Dean R. Chapman,et al.  Computational Aerodynamics Development and Outlook , 1979 .

[5]  Frank Holzäpfel,et al.  Enhanced wake vortex decay in ground proximity triggered by plate lines , 2016 .

[6]  C. Meneveau,et al.  A Lagrangian dynamic subgrid-scale model of turbulence , 1994, Journal of Fluid Mechanics.

[7]  Dieter Jacob,et al.  Behavior of wake vortices near the ground over a large range of Reynolds numbers , 1999 .

[8]  Robert E. Robins,et al.  Potential hazard of aircraft wake vortices in ground effect with crosswind , 1993 .

[9]  Omer Savas,et al.  Wake Alleviation Properties of Triangular-Flapped Wings , 2002 .

[10]  Arpiruk Hokpunna,et al.  Compact Fourth-order scheme for Numerical Simulations of Navier-Stokes Equations , 2009 .

[11]  Takashi Misaka,et al.  Aircraft Wake-Vortex Decay in Ground Proximity—Physical Mechanisms and Artificial Enhancement , 2013 .

[12]  Takashi Misaka,et al.  Large-Eddy Simulation of Aircraft Wake Evolution from Roll-Up Until Vortex Decay , 2015 .

[13]  Philippe R. Spalart,et al.  Modeling the Interaction of a Vortex Pair with the Ground , 2001 .

[14]  R. Olea.  Geostatistics for Natural Resources Evaluation By Pierre Goovaerts, Oxford University Press, Applied Geostatistics Series, 1997, 483 p., hardcover, $65 (U.S.), ISBN 0-19-511538-4 , 1999 .

[15]  Takashi Misaka,et al.  TOWARDS REALISTIC SIMULATION OF WAKE-VORTEX EVOLUTION DURING LANDING WITH FLAT AND COMPLEX TERRAIN , 2013, Proceeding of Eighth International Symposium on Turbulence and Shear Flow Phenomena.

[16]  André Giovannini,et al.  Interaction of unequal anti-parallel vortex tubes , 2001, Journal of Fluid Mechanics.

[17]  Fred H. Proctor,et al.  Wake Vortex Transport and Decay in Ground Effect: Vortex Linking with the Ground , 2000 .

[18]  Noel A Cressie,et al.  Statistics for Spatial Data. , 1992 .

[19]  Michael Manhart,et al.  A zonal grid algorithm for DNS of turbulent boundary layers , 2004 .

[20]  Takashi Misaka,et al.  Hybrid Simulation of Wake-Vortex Evolution During Landing on Flat Terrain and with Plate Line , 2014 .

[21]  G. Christakos.  On the Problem of Permissible Covariance and Variogram Models , 1984 .

[22]  George Miller,et al.  Active-Control System for Breakup of Airplane Trailing Vortices , 2001 .

[23]  D. Krige.  A statistical approach to some basic mine valuation problems on the Witwatersrand, by D.G. Krige, published in the Journal, December 1951 : introduction by the author , 1951 .

[24]  Meiko Steen,et al.  Aircraft Wake-Vortex Evolution in Ground Proximity: Analysis and Parameterization , 2006 .

[25]  Ulrich Schumann,et al.  Large-eddy simulation of turbulent flow above and within a forest , 1992 .

[26]  Eike Stumpf,et al.  Study of Four-Vortex Aircraft Wakes and Layout of Corresponding Aircraft Configurations , 2005 .

[27]  F. J. Perry,et al.  Flowfield produced by trailing vortices in the vicinity of the ground , 1971 .

[28]  Laurent Bricteux,et al.  Simulation of three-dimensional wake vortices in ground effect with a fourth order incompressible code , 2006 .

[29]  David Fabre,et al.  Optimal perturbations in a four-vortex aircraft wake in counter-rotating configuration , 2002, Journal of Fluid Mechanics.

[30]  Christian Breitsamter,et al.  Wake vortex characteristics of transport aircraft , 2011 .

[31]  G. Matheron.  Principles of geostatistics , 1963 .

[32]  Slawomir Koziel,et al.  Simulation-Driven Aerodynamic Design Using Variable-Fidelity Models , 2015 .

[33]  Philippe R. Spalart.  Airplane trailing vortices , 2000 .

[34]  Donald R. Jones,et al.  Efficient Global Optimization of Expensive Black-Box Functions , 1998, J. Glob. Optim..

[35]  Noel A. C. Cressie,et al.  Statistics for Spatial Data: Cressie/Statistics , 1993 .

[36]  Michael Manhart,et al.  Compact fourth-order finite volume method for numerical solutions of Navier-Stokes equations on staggered grids , 2010, J. Comput. Phys..

[37]  Arnold Tafferner,et al.  Research towards a wake-vortex advisory system for optimal aircraft spacing , 2005 .

[38]  T. Gerz,et al.  Minimised Wake: A Collaborative Research Programme on Aircraft Wake Vortice , 2003 .