Skip to main content
Have a personal or library account? Click to login
Computationally efficient schemes and boundary conditions for a fine-mesh barotropic model based on the shallow-water equations Cover

Computationally efficient schemes and boundary conditions for a fine-mesh barotropic model based on the shallow-water equations

Open Access
|Jan 1973

References

  1. Charney , J. G. , Fjortoft , J. and von Neumann , J . 1950 . Numerical integration of the barotropic vorticity equation. Tellus 4 , 237 254 .
  2. Charney , J. G . 1960 . Integration of the primitive and balance equations. Proceedings of the International Symposium on Numerical Weather Prediction in Tokyo , November 7-13, 1960 , pp. 131 - 151 .
  3. Garrity , J. P. and McPherson , R. D . 1971 . On an efficient scheme for the numerical integration of a primitive-equation barotropic model. J. Appl. Meteor . 10 , 353 363 .
  4. Gustafsson , B . 1971 . An alternating direction im-plicit method for solving the shallow water equations. J. Comp. Phys . 7 , 239 253 .
  5. Gustafsson , B . 1973 . On the convergence rate for difference approximations to mixed initial bound-ary value problems. To be published.
  6. Gustafsson , B. , Kreiss , H.-O. and Sundstrom , A . 1972 . Difference approximations to mixed initial boundary value problems. II. Math. Comp . 26 , 649 686 .
  7. Hill , G. E . 1968 . Grid telescoping in numerical weather prediction. J. Appl. Meteor . 7 , 29 38 .
  8. Johansson , O. and Kreiss , H.-O . 1963 . rber das Ver-fahren der zentralen Differenzen zur Lösung des Cauchyproblems fur partielle Differentialglei-chungen. BIT 3 , 97 107 .
  9. Kreiss , H.-O. and Widlund , O . 1967 . Difference ap-proximations for initial value problems for par-tial differential equations. Uppsala University, Dept. of Computer Sciences, Report No. 7.
  10. Kreiss , H.-O . 1970 . Initial boundary value prob-lems for hyperbolic systems. Comm. Pure Appl. Math . 23 , 277 298 .
  11. Kreiss , H.-O . 1971 . Difference approximations for initial boundary-value problems. Proc. Roy. Soc. Lond. A 323 , 255 261 .
  12. Kreiss , II.-O. and Oliger , J. . 1972 . Comparison of accurate methods for the integration of hyper-bolic equations. Tellus 24, 199 - 215 .
  13. Kwizak , M . 1970 . Semi-implicit integration of a grid point model of the primitive equations. Pub. in Met. No. 96, Arctic Met. Research Group, McGill University.
  14. Kwizak , M. and Robert , A . 1971 . Implicit integra-tion of a grid point model. Mon. Wea. Rev . 99 , 32 36 .
  15. Moretti , G . 1969 . Importance of boundary condi-tions in the numerical treatment of hyperbolic equations . Phys. Fluids , Suppl. II , 13 20 .
  16. Platzman , G. W . 1954 . The computational stability of boundary conditions in numerical integration of the vorticity equation. Arch. Met. Geophys. Biokl., Serie A , 7 , 29 40 .
  17. Richardson , L. F . 1922 . Weather prediction by numerical process, p. 151. Cambridge Univ. Press, London. Reprinted 1965 by Dover Publica-tions, Inc., New York.
  18. Shapiro , M. A. and O'Brien , J. J . 1970 . Boundary conditions for fine-mesh limited area forecasts. J. Appl. Meteor . 9 , 345 349 .
  19. Sundström , A . 1969 . Stability theorems for the barotropic vorticity equation. Mon. Wea. Rev . 97 , 340 345 .
  20. Sundström , A . 1973 . On the well-posedness of the shallow-water equations. To be published.
  21. Wang , II.-H. and Halpern , P. . 1970 . Experiments with a regional fine-mesh prediction model. J. Appl. Meteor. 9, 545 - 553 .
Language: English
Page range: 132 - 156
Submitted on: Jun 29, 1972
Accepted on: Nov 6, 1972
Published on: Jan 1, 1973
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 1973 Torbjörn Elvius, Arne Sundström, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.