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
Reference43 articles.
1. Adjustments of initial conditions required to suppress gravity oscillations in nonlinear flows.;Baer;Contrib. Atmos. Phys,1977
2. A simple test of the initialization of gravity modes.;Ballish;Mon. Wea. Rev,1981
3. Bengtsson, L.
, 1975: Four-dimensional assimilation of meteorological observations. WMO/ICSU Joint Organizing Committee, GARP Publication Series 15, 76 pp.
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
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献