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Proceedings Paper

Verification of a FEM model of front evolution with varying thermal stratification
Author(s): M. S. Yudin
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Paper Abstract

In this paper the results of simulations are considered and discussed for a finite-element version of the model presented in [1].A numerical mathematical model of a compressible atmosphere is used to calculate the important characteristics of motion of gravity flows, for example, front speed and surface pressure past orographic obstacles of various shapes and steepness. In this paper, the front speed is imulated with a non-hydrostatic finite-element model of atmospheric dynamics. The model is ased on the compressible Navier-Stokes equations. Artificial compressibility is introduced into the model in order to make the governing equations hyperbolic. The front surface is explicitly described by a special equation. A time filter is used to suppress the non-physical oscillations. A test of the model on a meso-spatial scale is performed: the propagation of a meso-scale atmospheric gravity current (cold front) in an atmosphere with varying thermal stratification. In this test the calculated values of the simulation are compared with an empirical formula first introduced by T. von Karman and later developed for atmospheric fronts by multiple authors. The model simulation results are compared with available observations and simulations performed by other authors. In general, good agreement between the results of the test calculations and the empirical formula has been obtained. The well-observed phenomenon of striking difference in the behavior of the surface pressure in front propagation under stable and neutral versions of atmospheric stratification is also briefly discussed.

Paper Details

Date Published: 18 December 2019
PDF: 7 pages
Proc. SPIE 11208, 25th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, 112087J (18 December 2019); doi: 10.1117/12.2540624
Show Author Affiliations
M. S. Yudin, Institute of Computational Mathematics and Mathematical Geophysics (Russian Federation)


Published in SPIE Proceedings Vol. 11208:
25th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics
Oleg A. Romanovskii; Gennadii G. Matvienko, Editor(s)

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