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A model for convection in the evolution of under-ice melt ponds

Lookup NU author(s): Dr Magda Carr

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Abstract

A model for convection in the evolution of under-ice melt ponds is presented. The system exhibits two competing effects namely, a temperature gradient which is destabilising and a salt gradient which is stabilising. Density is assumed to have a dependence quadratic in temperature and linear in concentration. A linear instability analysis and a nonlinear stability analysis are performed. The standard energy method does not yield unconditional stability so a weighted energy analysis is employed to achieve global results. The global stability bound is found to be independent of the salt field and a presentation of the region of possible subcritical instabilities is given.


Publication metadata

Author(s): Carr M

Publication type: Article

Publication status: Published

Journal: Continuum Mechanics and Thermodynamics

Year: 2003

Volume: 15

Issue: 1

Pages: 45-54

Print publication date: 01/02/2003

ISSN (print): 0935-1175

ISSN (electronic): 1432-0959

Publisher: Springer

URL: https://doi.org/10.1007/s00161-002-0103-3

DOI: 10.1007/s00161-002-0103-3


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