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A note on the properties of the primitive hydrostatic equations of motion
Author(s) -
Norbury J.,
Cullen M. J. P.
Publication year - 1985
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.49711147015
Subject(s) - hydrostatic equilibrium , mathematics , boundary (topology) , variable (mathematics) , motion (physics) , boundary value problem , primitive equations , equations of motion , mathematical analysis , differential equation , simultaneous equations , physics , classical mechanics , quantum mechanics
Discussion of the proper boundary conditions to use in limited area forecasting models requires knowledge of the properties of the governing equations. the theory of Oliger and Sundstrom states that the primitive hydrostatic equations commonly used are not hyperbolic and no local boundary conditions can be chosen. This paper shows their result to be incorrect, the equations are hyperbolic but not all the characteristics involve the time variable. Implications for the boundary conditions are discussed.