Skip to main content

Computational Dispersion Properties of 3-D Staggered Grids for Hydrostatic and Non-Hydrostatic Atmospheric Models

  • Chapter
Computation of Three-Dimensional Complex Flows

Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NONUFM,volume 49))

Summary

Computational dispersion properties in terms of frequency and group velocity components for centered difference schemes using all possible, practically meaningful 3-D staggered grids, have been examined for hydrostatic and non-hydrostatic atmospheric systems. The most advantageous 3-D staggered grids have been obtained by combining the best horizontal and vertical grids. The time-staggered grids have been also included into consideration. The best 3-D staggered grids provide twice the effective spatial resolution of the regular (unstaggered) 3-D grid. The obtained results, along with other computational considerations, provide the practical guidance for the optimal grid choice for various atmospheric models.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Arakawa, A. and V. R. Lamb: “Computational design of the basic dynamical processes of the UCLA general circulation model.” Methods in Computational Physics, J. Chang, Ed., Academic Press, (1977), pp. 173–265.

    Google Scholar 

  2. Charney, J. C. and N. A. Phillips: “Numerical integration of the quasigeostrophic equations for barotropic and simple baroclinic flows.” J. Meteor., 10, (1953), pp. 17–29.

    Article  MathSciNet  Google Scholar 

  3. Du Fort, E. C. and S. P. Frankel: “Stability conditions in the numerical treatment of parabolic differential equations.” Mathematical Tables and Other Aids to Computation V. 7, (1953), pp. 135–152.

    Article  MathSciNet  Google Scholar 

  4. Eliassen, A.: “A procedure for numerical integration of the primitive equations of the two-parameter model of the atmosphere.” Sci. Rep. No. 4, Dept. of Meteorology, UCLA, (1956), pp. 56

    Google Scholar 

  5. Fox-Rabinovitz, M. S.: “Computational dispersion properties of horizontal staggered grids for atmospheric and ocean models.” Mon. Wea. Rev., 119, (1991), pp. 1624–1639.

    Article  Google Scholar 

  6. Fox-Rabinovitz, M. S.: “Computational dispersion properties of vertically staggered grids for atmospheric models.” Mon. Wea. Rev., Vol. 122, No. 2, (1994), pp. 377–392.

    Article  Google Scholar 

  7. Fox-Rabinovitz, M. S.: “Computational dispersion properties of 3-D staggered grids for the non-hydrostatic anelastic system.” Mon. Wea. Rev., (1995) accepted.

    Google Scholar 

  8. Lorenz, E. N.: “Energy and numerical weather prediction.” Tellus, 12, (1960), pp. 364–373.

    Article  Google Scholar 

  9. Mesinger, F. and A. Arakawa: “Numerical methods used in atmospheric models.” WMO/ICSU Joint Organizing Committee, GARP Publ. Series, (1976), pp. 64.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Michel Deville Spyros Gavrilakis Inge L. Ryhming

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden

About this chapter

Cite this chapter

Fox-Rabinovitz, M.S. (1996). Computational Dispersion Properties of 3-D Staggered Grids for Hydrostatic and Non-Hydrostatic Atmospheric Models. In: Deville, M., Gavrilakis, S., Ryhming, I.L. (eds) Computation of Three-Dimensional Complex Flows. Notes on Numerical Fluid Mechanics (NNFM), vol 49. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-89838-8_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-322-89838-8_13

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-322-89840-1

  • Online ISBN: 978-3-322-89838-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics