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Ponencias en congresos:
An Adaptive Finite Element semiLagrangian Method for Nonhydrostatic Ocean Models
Año:2017
Áreas de investigación
  • Matemáticas
Datos
Descripción
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].
Internacional
Si
Nombre congreso
XXV CONGRESO DE ECUACIONES DIFERENCIALES Y APLICACIONES / XV CONGRESO DE MATEMÁTICA APLICADA
Tipo de participación
960
Lugar del congreso
Cartagena
Revisores
No
ISBN o ISSN
DOI
Fecha inicio congreso
26/06/2017
Fecha fin congreso
30/06/2017
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Título de las actas
Esta actividad pertenece a memorias de investigación
Participantes
  • Autor: Pedro Galan Del Sastre (UPM)
  • Autor: Jaime Carpio Huertas (UPM)
  • Autor: Rodolfo Bermejo Bermejo (UPM)
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: Mecánica de fluidos aplicada a la Ingeniería Industrial
  • Grupo de Investigación: Modelos Matemáticos no Lineales
  • Departamento: Ingeniería Energética
  • Departamento: Matemáticas del Área Industrial
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