Simulations of the 2.5D inviscid primitive equations in a limited domain

  • Authors:

  • Qingshan Chen;Roger Temam;Joseph J. Tribbia

  • Affiliations:

  • Department of Mathematics, Indiana University, 831 E 3rd Street, Bloomington, IN 47405, United States and The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomi ...;The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, IN 47405, United States;National Center for Atmospheric Research Boulder, Colorado, United States

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2008

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Abstract

The primitive equations (PEs) of the atmosphere and the oceans without viscosity are considered. These equations are not well-posed for any set of local boundary conditions. In space dimension 2.5 a set of nonlocal boundary conditions has been proposed in Chen et al. [Q. Chen, J. Laminie, A. Rousseau, R. Temam, J. Tribbia, A 2.5D Model for the equations of the ocean and the atmosphere, Anal. Appl. 5(3) (2007) 199-229]. The present article is aimed at testing the validity of these boundary conditions with physically relevant data. The issues tested are the well-posedness in the nonlinear case and the computational efficiency of the boundary conditions for limited area models [T.T. Warner, R.A. Peterson, R.E. Treadon, A tutorial on lateral boundary conditions as a basic and potentially serious limitation to regional numerical weather prediction, Bull. Amer. Meteor. Soc. 78(11) (1997) 2599-2617].