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Simulations of the 2.5D inviscid primitive equations in a limited domain. (English) Zbl 1317.86007

Summary: 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 [Q. Chen et al., Anal. Appl., Singap. 5, No. 3, 199–229 (2007; Zbl 1117.35319)]. 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 and R. E. Treadon, A tutorial on lateral boundary conditions as a basic and potentially serious limitation to regional numerical weather prediction, Bull. Am. Meteor. Soc. 78, No. 11, 2599–2617 (1997)].

MSC:

86A05 Hydrology, hydrography, oceanography
86A10 Meteorology and atmospheric physics
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
76B60 Atmospheric waves (MSC2010)
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76U05 General theory of rotating fluids

Citations:

Zbl 1117.35319
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Full Text: DOI

References:

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