2012
DOI: 10.1063/1.3684990
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Vortex bursting and tracer transport of a counter-rotating vortex pair

Abstract: Large-eddy simulations of a coherent counter-rotating vortex pair in different environments are performed. The environmental background is characterized by varying turbulence intensities and stable temperature stratifications. Turbulent exchange processes between the vortices, the vortex oval, and the environment, as well as the material redistribution processes along the vortex tubes are investigated employing passive tracers that are superimposed to the initial vortex flow field. It is revealed that the vort… Show more

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Cited by 71 publications
(116 citation statements)
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“…For weak ambient shear, the width of the contrail B is of order (π/2) s, where s is the span width of the aircraft (in agreement with Misaka et al (2012); see below). The effective (in the sense of representing the optically effective depth of an ellipsoidal contrail cross section; see Schumann, 2012) contrail depth H and effective contrail width B are related to the contrail cross-section area by A = BH .…”
Section: The Cocip Modelsupporting
confidence: 51%
See 2 more Smart Citations
“…For weak ambient shear, the width of the contrail B is of order (π/2) s, where s is the span width of the aircraft (in agreement with Misaka et al (2012); see below). The effective (in the sense of representing the optically effective depth of an ellipsoidal contrail cross section; see Schumann, 2012) contrail depth H and effective contrail width B are related to the contrail cross-section area by A = BH .…”
Section: The Cocip Modelsupporting
confidence: 51%
“…The derived contrail depths of about 110 to 290 m for the various aircraft is comparable to the depth of 110 m deduced from ground-based lidar observations by Sassen and Hsueh (1998) for a 2 min-old contrail of a DC8 aircraft (mass about 100 Mg). In order to scale optical contrail properties to unit flight distance, we integrate the extinction over the vertical ellipsoidal contrail cross section (for results see Table 6), whereby the contrail depth is derived from the P2P model (Holzäpfel, 2006) and the contrail width from Misaka et al (2012) (their Fig. 23).…”
Section: Impact Of Fuel Flow On Contrail Optical Propertiesmentioning
confidence: 99%
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“…Three-dimensional (3d) large eddy simulation (LES) models resolve the fluid dynamics of wake vortex formation and decay (Gerz and Ehret, 1996;Lewellen and Lewellen, 1996;Holzäpfel et al, 2010;Misaka et al, 2012) and the bulk microphysics of contrails (Gierens, 1996;Chlond, 1998;Lewellen and Lewellen, 2001;Unterstrasser and Sölch, 2010;Naiman et al, 2011), but require large computing times. Even two-dimensional (2d) variants of such models, which allow for parameter studies and several hours of contrail ages, are too expensive to be applied for simulations of a large ensemble of contrails with realistic meteorological variability (Jensen et al, 1998a;Gierens and Jensen, 1998;Unterstrasser and Gierens, 2010b).…”
Section: U Schumann: Contrail Cirrus Modelmentioning
confidence: 99%
“…The primary vortices descend downwards until the rotational vortex motion gets unstable, turbulent and dissipates. The maximum sinking distance depends on ambient stratification, shear, and turbulence and on aircraft properties (Lewellen and Lewellen, 2001;Sussmann and Gierens, 2001;Holzäpfel, 2003;Unterstrasser, 2008;Misaka et al, 2012;Schumann 2012). Ice crystals form early in the jet phase within some tenths of a second.…”
Section: Introductionmentioning
confidence: 99%