233
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Nonlinear Balance and gravity-inertial wave saturation in a simple atmospheric model

&
Pages 285-294 | Received 16 Jul 1985, Accepted 23 Oct 1985, Published online: 15 Dec 2016

References

  • Arnold, V. I. 1983. Geometrical methods in the theory of ordinary differential equations. Springer. 334 pp.
  • Basdevant, C., Legras, B., Sadourny, R. and Beland, M. 1981. A study of barotropic model flows: Intermittency, waves and predictability. J. Atmos. Sci. 38, 2305–2306.
  • Bender, C. and Orszag, S. 1978. Advanced mathematical methods for scientists and engineers. McGraw-Hill. 593 pp.
  • Carr, J. 1981. Applications of center manifold theory. Springer, Berlin. 142 pp.
  • Charney, J. 1971. Geostrophic turbulence. J. Atmos. Sci. 28, 1087–1095.
  • Charney, J. 1955. The use of the primitive equations of motion in numerical weather prediction. Tellus 7, 22–26.
  • Errico, R. 1982. Normal mode initialization and the generation of gravity waves by quasi-geostrophic forcing. J. Atmos. Sci. 39, 573–586.
  • Errico, R. 1984. The statistical equilibrium solution of a primitive equations model. Tellus 36A, 42–51.
  • Fornberg, B. 1977. A numerical study of 2-D turbulence. J. Comp. Phys. 25, 1–31.
  • Gent, P. and McWilliams, J. 1982. Intermediate Model Solutions to the Lorenz Equations: Strange Attractors and Other Phenomena. J. Atmos. Sci. 39, 3–13.
  • Guckenheimer, J. and Holmes, P. 1983. Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Springer, Berlin. 453 pp.
  • Kopell, N. 1985. Invariant manifolds and the initialization problem for some atmospheric equations. Physica D 14, 203–215.
  • Kraichnan, R. 1967. Inertial ranges in two-dimensional turbulence. Phys. Fluids 101, 1417–1423.
  • Kreiss, H. 1979. Problems with different timescales for ordinary differential equations. SIAM J. Numer. Anal. 16, 980–988.
  • Leith, C. 1980. Nonlinear normal mode initialization and quasi-geostrophic theory. J. Atmos. Sci. 37, 958–968.
  • Lorenz, E. 1980. Attractor sets and quasi-geostrophic equilibrium. J. Atmos. Sci. 37, 1685–1699.
  • Machenhauer, B. 1977. On the dynamics of gravity oscillations in a shallow water model with applications to normal mode initialization. Beitr. Phys. Atmos. 50, 253–271.
  • Sadourny, R. 1975. The dynamics of finite difference models of the shallow water equations. J. Atmos. Sci. 32, 680–689.
  • Vautard, R. and Legras, B. 1985. Invariant manifolds, quasi-geostrophy and initialization. J. Atmos. Sci., in press.
  • Warn, T. 1986. The statistical mechanical equilibria of the shallow water equations. Tellus 38A, 1–11.