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Some Remarks on a Model for the Atmospheric Pressure in Ocean Dynamics

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • T. Chacón Rebollo

    (Universidad de Sevilla, Departamento de Ecuaciones Diferenciales y Análsis Numérico)

  • E. D. Fernández Nieto

    (Universidad de Sevilla, Departamento de Matemática Aplicada I)

  • M. Gómez Mármol

    (Universidad de Sevilla, Departamento de Ecuaciones Diferenciales y Análsis Numérico)

Abstract

We analyse some questions concerning splitting solution techniques of non-hydrostatic models with atmospheric forcing. We prove that at the free surface the dynamic pressure must exactly vanish. We also analyse a linearised model of free surface and give simple rules to construct stable pairs of (horizontal velocities, free surfaces) for mixed discretizations.

Suggested Citation

  • T. Chacón Rebollo & E. D. Fernández Nieto & M. Gómez Mármol, 2006. "Some Remarks on a Model for the Atmospheric Pressure in Ocean Dynamics," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 279-287, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-34288-5_21
    DOI: 10.1007/978-3-540-34288-5_21
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