LOGIN TO YOUR ACCOUNT

Username
Password
Remember Me
Or use your Academic/Social account:

CREATE AN ACCOUNT

Or use your Academic/Social account:

Congratulations!

You have just completed your registration at OpenAire.

Before you can login to the site, you will need to activate your account. An e-mail will be sent to you with the proper instructions.

Important!

Please note that this site is currently undergoing Beta testing.
Any new content you create is not guaranteed to be present to the final version of the site upon release.

Thank you for your patience,
OpenAire Dev Team.

Close This Message

CREATE AN ACCOUNT

Name:
Username:
Password:
Verify Password:
E-mail:
Verify E-mail:
*All Fields Are Required.
Please Verify You Are Human:
fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Elvius, Torbjörn; Sundström, Arne (2011)
Publisher: Co-Action Publishing
Journal: Tellus A
Languages: English
Types: Article
Subjects:
Two types of computationally efficient semi-implicit and leap-frog schemes for integrating the shallow-water equations are presented. Their accuracy and stability are investigated, both for the pure initial value problem and for limited-area forecasts. The proper formulation of boundary conditions for the latter case is also discussed. Two sets of stable and sufficiently accurate boundary conditions are given. The practical usefulness of these conditions is also supported by computer experiments.DOI: 10.1111/j.2153-3490.1973.tb01601.x
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • Charney, J. G., Fjmtoft, J. &von Neumann, J. 1950. Numerical integration of the barotropic vortioity equation. Tellus 4 , 237-254.
    • Charney, J. G. 1960. Integration of the primitive and balance equations. Proceedings of the International Symposium on Numerical WeatherPrediction in Tokyo, November 7-13, 1960, pp. 131-151.
    • Garrity, J. P. BcMcPherson, R. D. 1971. On an efficient scheme for the numerical integration of 1972. Difference approximations to mixed initial Kwizak, M. & Robert, A. 1971. Implicit integraboundary value problems. 11. Math. Comp. 26, tion of a grid point model. Mon. Wea. Rev. 99. 649-686. 32-36.
    • Hill, G. E. 1968. Grid telescoping in numerical Moretti, G. 1969. Importance of boundary condiweather prediction. J . Appl. Meteor. 7, 29-38. tions in the numerical treatment of hyperbolic
    • Johansson, 0. & Kreiss, H.-0. 1963. tfber das Ver- equations. Phys. Fluids,Suppl. 11, 13-20. fahren der zentralen Differenzen zur Losung des Platzman, G. W. 1954. The computational stability Cauchyproblems fur partielle Differentialglei- of boundary conditions in numerical integration chungen. B I T 3, 97-107. of the vorticity equation. Arch. Met. Geophys.
    • Kreiss, H.-0. & Widlund, 0. 1967. Difference ap- Biokl., Serie A, 7, 29-40. proximations for initial value problems for par- Richardson, L. F. 1922. Weather prediction b y tial differential equations. Uppsala University, numerical process, p. 151. Cambridge Univ. Dept. of Computer Sciences, Report No. 7. Press, London. Reprinted 1965 by Dover Publice-
    • Kreiss, H.-0. 1970. Initial boundary value prob- tions, Inc., New York. lems for hyperbolic systems. Comm. Pure Appl. Shapiro, M. A. & O'Brien, J. J. 1970. Boundary Math. 23, 277-298. conditions for fine-mesh limited area forecasts.
    • Kreiss, H.-0. 1971. Difference approximations for J . Appl. Meteor. 9 , 345-349. initial boundary-value problems. Proc. Roy. SOC. Sundstrom, A. 1969. Stability theorems for the Lond. A 323, 255-261. barotropic vorticity equation. Mon. Wea. Rev.
    • Kreiss, H.-0. & Oliger, J. 1972. Comparison of 97, 340-345. accurate methods for the integration of hyper- Sundstrom, A. 1973. On the well-posedness of the bolic equations. Tellus 24, 199-215. shallow-water equations. To be published.
    • Kwizak, M. 1970. Semi-implicit integration of a Wang, H.-H. & Halpern, P. 1970. Experiments with grid point model of the primitive equations. Pub. a regional fine-mesh prediction model. J . Appl. in Met. No. 96, Arctic Met. Research Group, Meteor. 9, 545-553. McGill University.
  • No related research data.
  • No similar publications.

Share - Bookmark

Cite this article

Collected from