Ellipticity Conditions of the Shallow Water Balance Equations for Atmospheric Data

Author:

Bourchtein Andrei1

Affiliation:

1. Institute of Physics and Mathematics, Pelotas State University, Pelotas, Brazil

Abstract

Abstract Nonlinear normal mode initialization equations, which provide required balance relations for atmospheric data, are considered in the generalized case of shallow water equations in arbitrary orthogonal coordinates. Using the concept of ellipticity in the sense of Douglis–Nirenberg, the conditions of well posedness of boundary value problems for balance equations are derived in the cases of constrained streamfunction, constrained potential vorticity, and constrained pressure fields.

Publisher

American Meteorological Society

Subject

Atmospheric Science

Reference43 articles.

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4. Initialization of a limited area model: A comparison between the nonlinear normal mode and bounded derivative methods.;Bijlsma;Mon. Wea. Rev,1986

5. Ellipticity of normal mode initialization equations.;Bourchtein;Appl. Math. Comput,2002

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