skip to main content

Title: Structural elements of collapses in shallow water flows with horizontally nonuniform density

The mechanisms and structural elements of instability whose evolution results in the occurrence of the collapse are studied in the scope of the rotating shallow water model with a horizontally nonuniform density. The diagram stability based on the integral collapse criterion is suggested to explain system behavior in the space of constants of motion. Analysis of the instability shows that two collapse scenarios are possible. One scenario implies anisotropic collapse during which the contact area of a collapsing drop-like fragment with the bottom contracts into a rotating segment. The other implies isotropic contraction of the area into a point.
Authors:
 [1] ;  [2]
  1. Russian Academy of Sciences, Obukhov Institute of Atmospheric Physics (Russian Federation)
  2. Universite de Lille 1, UFR de Mathematiques Pures et Appliquees-LML UMR 8107 (France)
Publication Date:
OSTI Identifier:
22210395
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 117; Journal Issue: 4; Other Information: Copyright (c) 2013 Pleiades Publishing, Inc.; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANISOTROPY; DENSITY; DIAGRAMS; FLUID FLOW; INSTABILITY; WATER