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Descripción
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| This work is devoted to the numerical solution of nonhydro- static ocean models. These models arise from the full Navier- Stokes equations for a fluid of variable density coupled with advection-diffusion equations for temperature and salinity (the so-called tracers) and the equation of state of the ocean for the density. Among others, an important issue in the numerical approximation of these models is the treatment of the advec- tions terms to avoid small time steps due to numerical stability restrictions. An other important ingredient in solving numeri- cally these models consists of dealing with the unresolved sub- grid scale processes that can lead to spurious oscilations and inestabilities of the numerical solution. To overcome these difficulties, the numerical approximation is carried out by an adaptive finite element method for space discretization in combination with the semiLagrangian method for time discretization. Thus, the integration of the advection terms is performed via the semiLagrangian scheme that leads to implicit schemes for the momentum and tracer equations [1]. The space adaptation is done in the framework of the fi- nite element method with quadrilateral elements avoiding the so-called hanging nodes and non-conforming meshes. The cri- terion for adaptation is derived from the information supplied by the semiLagrangian step [2]. | |
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Internacional
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Si |
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Nombre congreso
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XXV CONGRESO DE ECUACIONES DIFERENCIALES Y APLICACIONES / XV CONGRESO DE MATEMÁTICA APLICADA |
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Tipo de participación
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960 |
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Lugar del congreso
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Cartagena |
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Revisores
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ISBN o ISSN
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DOI
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Fecha inicio congreso
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26/06/2017 |
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Fecha fin congreso
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30/06/2017 |
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Título de las actas
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