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Semi-Analytic Modelling of Stratified Flows. Theory and Applications

Authors:
Nikolay Makarenko
Janna Maltseva
Alexander Cherevko

Keywords: semi-analytical mode; perturbation method; stratified flows

Abstract:
The problem on non-homogeneous shear flows over the rough terrain is considered semi-analytically. Mathematical modelling of these flows is interesting due to important applications in meteorology and oceanography. Known results presumably refer to the wave phenomena appearing in the flows over single bell-shaped obstacle. Presently, most intrinsic problem is to describe a complicated interference patterns which can be forced by multiple-ridged topography. In this paper, a non-linear model of a stratified flow over combined obstacle is constructed under the small amplitude assumption for the topography. Attention is focused on the stationary wave patterns formed directly above the hill range. Wave solutions corresponding to the topography with a finite number of peaks are calculated. These solutions predict rigorously the splitting of a near-field flow to the separate wave zones having different spatial scales.

Pages: 9 to 12

Copyright: Copyright (c) IARIA, 2014

Publication date: July 20, 2014

Published in: conference

ISSN: 2308-3484

ISBN: 978-1-61208-365-0

Location: Paris, France

Dates: from July 20, 2014 to July 24, 2014