Vortex Gas Models for Tornadogenesis and Maintenance

 

Processes associated to the formation of vorticity in the front and rear flank downdrafts, as well as their interaction with the boundary layer, are hypothesised to impact tornadogenesis. Our objective is to demonstrate that vortex gas models are a useful tool for describing tornadogenesis and maintenance processes. We argue that an inverse energy cascade is a viable process for tornadogenesis and tornado maintenance, and we back up our assertion with computational and empirical evidence. We simulate supercritical vortices at the surface boundary layer using a three-dimensional vortex gas model, which might be formed by interactions between vortices brought to the surface by the rear flank downdraft and those related to the front flank downdraft. Negative temperatures are greater than positive temperatures in statistical mechanics. The three-dimensional vortex gas model of Chorin, which was further improved by Flandoli and Gubinelli, is presented as a model for powerful small-scale subvortices encountered in tornadoes and in computational and radar research.

Author(s) Details:

Pavel Belik,
Department of Mathematics, Statistics, and Computer Science, Augsburg University, 2211 Riverside Avenue, Minneapolis, MN 55454, U.S.A.

Douglas P. Dokken,
Department of Mathematics, University of St. Thomas, 2115 Summit Avenue, St. Paul, MN 55105, U.S.A.

Corey K. Potvin,
NSSL/FRDD Rm 4378, 120 David L. Boren Boulevard, Norman, OK 73072, U.S.A.

Kurt Scholz,
Department of Mathematics, University of St. Thomas, 2115 Summit Avenue, St. Paul, MN 55105, U.S.A.

Mikhail M. Shvartsman,
Department of Mathematics, University of St. Thomas, 2115 Summit Avenue, St. Paul, MN 55105, U.S.A.

Please see the link here: https://stm.bookpi.org/NTPSR-V2/article/view/6624

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