Artículo
Numerical modelling of algebraic closure models of oceanic turbulent mixing layers
Autor/es | Bennis, Anne-Claire
Chacón Rebollo, Tomás Gómez Mármol, María Macarena Lewandowski, Roger |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2010 |
Fecha de depósito | 2016-05-17 |
Publicado en |
|
Resumen | We introduce in this paper some elements for the mathematical and numerical analysis of algebraic turbulence models for oceanic surface mixing layers. In these models the turbulent diffusions are parameterized by means of ... We introduce in this paper some elements for the mathematical and numerical analysis of algebraic turbulence models for oceanic surface mixing layers. In these models the turbulent diffusions are parameterized by means of the gradient Richardson number, that measures the balance between stabilizing buoyancy forces and destabilizing shearing forces. We analyze the existence and linear exponential asymptotic stability of continuous and discrete equilibria states. We also analyze the ellposedness of a simplified model, by application of the linearization principle for non-linear parabolic equations. We finally present some numerical tests for realistic flows in tropical seas that reproduce the formation of mixing layers in time scales of the order of days, in agreement with the physics of the problem. We conclude that the typical mixing layers are transient effects due to the variability of equatorial winds. Also, that these states evolve to steady states in time scales of the order of years, under negative surface energy flux conditions. |
Agencias financiadoras | Ministerio de Educación y Ciencia (MEC). España Agence Nationale de la Recherche. France |
Identificador del proyecto | MTM2006-01275
MTM2009-07719 08FA300-01 |
Cita | Bennis, A., Chacón Rebollo, T., Gómez Mármol, M.M. y Lewandowski, R. (2010). Numerical modelling of algebraic closure models of oceanic turbulent mixing layers. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Numerical modelling of algebraic ... | 2.216Mb | [PDF] | Ver/ | |