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.; Hidalgo López, Arturo y 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.

Descripción

Título: 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
Autor/es:
  • Díaz, J. I.
  • Hidalgo López, Arturo
  • Tello del Castillo, María Lourdes
Tipo de Documento: Artículo
Título de Revista/Publicación: Proceedings of the Royal Society A: mathematical, physical and engineering sciences
Fecha: Agosto 2014
Volumen: 470
Materias:
Escuela: E.T.S.I. de Minas y Energía (UPM)
Departamento: Energía y Combustibles
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

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.

Más información

ID de Registro: 40047
Identificador DC: http://oa.upm.es/40047/
Identificador OAI: oai:oa.upm.es:40047
Identificador DOI: 10.1098/rspa.2014.0376
URL Oficial: http://rspa.royalsocietypublishing.org/content/470/2170/20140376
Depositado por: Memoria Investigacion
Depositado el: 07 Jul 2016 06:54
Ultima Modificación: 07 Jul 2016 06:54
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