Multiple solutions and numerical analysis to the dynamic and stationary models coupling a delayed energy balance model involving latent heat and discontinuous albedo with a deep ocean

Díaz, J. I. and Hidalgo López, Arturo and Tello del Castillo, María Lourdes (2014). Multiple solutions and numerical analysis to the dynamic and stationary models coupling a delayed energy balance model involving latent heat and discontinuous albedo with a deep ocean. "Proceedings of the Royal Society A: mathematical, physical and engineering sciences", v. 470 (n. 2170); pp.. ISSN 1364-5021. https://doi.org/10.1098/rspa.2014.0376.

Description

Title: Multiple solutions and numerical analysis to the dynamic and stationary models coupling a delayed energy balance model involving latent heat and discontinuous albedo with a deep ocean
Author/s:
  • Díaz, J. I.
  • Hidalgo López, Arturo
  • Tello del Castillo, María Lourdes
Item Type: Article
Título de Revista/Publicación: Proceedings of the Royal Society A: mathematical, physical and engineering sciences
Date: August 2014
ISSN: 1364-5021
Volume: 470
Subjects:
Faculty: E.T.S.I. de Minas y Energía (UPM)
Department: Energía y Combustibles
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

We study a climatologically important interaction of two of the main components of the geophysical system by adding an energy balance model for the averaged atmospheric temperature as dynamic boundary condition to a diagnostic ocean model having an additional spatial dimension. In this work, we give deeper insight than previous papers in the literature, mainly with respect to the 1990 pioneering model by Watts and Morantine. We are taking into consideration the latent heat for the two phase ocean as well as a possible delayed term. Non-uniqueness for the initial boundary value problem, uniqueness under a non-degeneracy condition and the existence of multiple stationary solutions are proved here. These multiplicity results suggest that an S-shaped bifurcation diagram should be expected to occur in this class of models generalizing previous energy balance models. The numerical method applied to the model is based on a finite volume scheme with nonlinear weighted essentially non-oscillatory reconstruction and Runge–Kutta total variation diminishing for time integration.

More information

Item ID: 40047
DC Identifier: http://oa.upm.es/40047/
OAI Identifier: oai:oa.upm.es:40047
DOI: 10.1098/rspa.2014.0376
Official URL: http://rspa.royalsocietypublishing.org/content/470/2170/20140376
Deposited by: Memoria Investigacion
Deposited on: 07 Jul 2016 06:54
Last Modified: 07 Jul 2016 06:54
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