Skip to main content
Have a personal or library account? Click to login
Statistical mechanical equilibria of the shallow water equations Cover

Statistical mechanical equilibria of the shallow water equations

By:   
Open Access
|Jan 1986

References

  1. Arakawa , A. and Lamb , V. 1981 . A potential enstrophy and energy conserving scheme for the shallow water equations . Mon. Wea. Rev . 109 , 18 36 .
  2. Basdevant , C. and Sadourny , R. 1975 . Ergodic properties of inviscid truncated models of two-dimensional incompressible flows . J. Fluid Mech . 69 , 673 688 .
  3. Bennett , A. and Middleton , J. 1983 . Statistical mechanics of finite difference approximations to the barotropic vorticity equation . Q. J. R. Meteorol. Soc . 109 , 795 808 .
  4. Errico , R. 1984 . The statistical equilibrium solution of a primitive equations model . Tellus 36A , 42 51 .
  5. Fox , D. G. and Orszag , S. 1973 . Inviscid dynamics of two-dimensional turbulence . Phys. Fluids 16 , 167 171 .
  6. Frederiksen , J. and Sawford , B. 1981 . Topographic waves in nonlinear and linear spherical barotropic models . J. Atmos. Sci . 38 , 69 86 .
  7. Kinchin , A. I. 1949 . The mathematical foundations of statistical mechanics . Dover , 179 pp.
  8. Kraichnan , R. 1967 . Inertial ranges in two-dimensional turbulence . Phys. Fluids 10 , 1417 .
  9. Kraichnan , R. 1975 . Statistical mechanics of two-dimensional flow . J. Fluid Mech . 67 , 155 175 .
  10. Leith , C. 1980 . Nonlinear normal mode initialization and quasi-geostrophic theory . J. Atmos. Sci . 37 , 958 968 .
  11. Lorenz , E. N. 1980 . Attractor sets and quasi-geostrophic equilibrium . J. Atmos. Sci . 37 , 1685 1689 .
  12. Rhines , P. 1975 . Waves and turbulence on a beta-plane . J. Fluid. Mech . 69 , 305 319 .
  13. Sadourny , R. 1975 . The dynamics of finite difference models of the shallow water equations . J. Atmos. Sci . 31 , 680 689 .
  14. Salmon , R. , Holloway , G. and Hendershott , M. C. 1976 . The equilibrium statistical mechanics of simple quasi-geostrophic models . J. Fluid Mech 75 , 691 703 .
  15. Salmon , R. 1982 . Geostrophic turbulence Topics in Ocean Physics . Proc. Int. School of Physics. Enrico Fermi .
  16. Tolman , R. C. 1938 . The principles of statistical mechanics . Oxford University Press , 660 pp.
Language: English
Page range: 1 - 11
Submitted on: Mar 13, 1985
Accepted on: May 23, 1985
Published on: Jan 1, 1986
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 1986 T. Warn, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.