Observatorio de I+D+i UPM

Memorias de investigación
Artículos en revistas:
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
Año:2014
Áreas de investigación
  • Matemáticas,
  • Física,
  • Ingenierías
Datos
Descripción
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 (EBMs). The numerical method applied to the model is based on a finite volume scheme with nonlinear WENO reconstruction and Runge-Kutta TVD for time integration.
Internacional
Si
JCR del ISI
Si
Título de la revista
Proceedings of the Royal Society a-Mathematical Physical And Engineering Sciences
ISSN
1364-5021
Factor de impacto JCR
1,998
Información de impacto
Volumen
470
DOI
10.1098/rspa.2014.0376
Número de revista
2170
Desde la página
0
Hasta la página
20
Mes
SIN MES
Ranking
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Participantes
  • Autor: J. Ildefonso Díaz (UCM)
  • Autor: Arturo Hidalgo Lopez (UPM)
  • Autor: Maria Lourdes Tello Del Castillo (UPM)
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Departamento: Matemática Aplicada
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