Abstract

AbstractLarge-eddy simulations (LES) have been employed to investigate the far-field four-vortex wake vortex evolution over 10min behind an aircraft formation. In formation flight scenarios, the wake vortex behaviour was found to be much more complex, chaotic and also diverse than in the classical single aircraft case, depending very sensitively on the formation geometry, i.e. the lateral and vertical offset of the two involved aircraft. Even though the case-by-case variability of the wake vortex behaviour across the various formation flight scenarios is large, the final plume dimensions after vortex dissolution are in general substantially different from those of single aircraft scenarios. The plumes are around 170 to 250m deep and 400m to 680m broad, whereas a single A350/B777 aircraft would produce a 480m deep and 330m broad plume. Formation flight plumes are thus not as deep, yet they are broader, as the vortices do not only propagate vertically but also in span-wise direction. Two different LES models have been employed independently and show consistent results suggesting the robustness of the findings. Notably,$CO_{2}$emissions are only one contribution to the aviation climate impact among several others like contrails and emission of water vapour and nitrogen oxides, which would be all affected by the implementation of formation flight. Thus, we also highlight the differences in ice microphysical and geometrical properties of young formation flight contrails relative to the classical single aircraft case.

Highlights

  • Migratory birds flying in a flock improve their aerodynamic efficiency, save energy and increase their range[3,4]

  • This is followed by a detailed analysis of how the four vortices interact with each other and how they move

  • In this paragraph we shortly describe the flow/vortex evolution of an example simulation over several minutes

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Summary

INTRODUCTION

Migratory birds flying in a flock improve their aerodynamic efficiency, save energy and increase their range[3,4]. Two LES models are separately employed in this study Both codes have a long tradition of wake vortex simulations of single aircraft. Unlike to MGLET, the finite-difference dynamical solver EULAG is equipped with the Lagrangian ice microphysics code LCM which allows to simulate the contrail life cycle and the interplay of ice microphysics and wake vortex dynamics[1,2]. MGLET is a finite-volume code, and its temporal version was successfully applied to study the dynamics of wake vortices after roll-up until decay With this approach, a vortex pair with a constant velocity profile along flight direction is initialised. The following subsection shortly describes EULAG-LCM, whereas a MGLET-description is deferred to the appendix

LES model EULAG with Lagrangian ice microphysics LCM
Basic parameters
Inner vortices
Sensitivity experiments
RESULTS
Example simulation
Tracking of the vortex centres
Plume dimensions
Sensitivity to lateral and vertical offset and relative humidity
Robustness of findings
DISCUSSION
CONCLUSIONS
Uncertainties from the inner vortex initialisation
Grid sensitivity
Turbulent realisation
Comparison of EULAG-LCM and MGLET simulations
Full Text
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