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Advances in Atmospheric Sciences

, Volume 11, Issue 4, pp 479–490 | Cite as

A two—step shape—preserving advection scheme

  • Yu Rucong
Article

Abstract

This paper proposes a new two—step non—oscillatory shape—preserving positive definite finite difference advection transport scheme, which merges the advantages of small dispersion error in the simple first-order upstream scheme and small dissipation error in the simple second-order Lax-Wendroff scheme and is completely different from most of present positive definite advection schemes which are based on revising the upstream scheme results. The proposed scheme is much less time consuming than present shape—preserving or non-oscillatory advection transport schemes and produces results which are comparable to the results obtained from the present more complicated schemes. Elementary tests are also presented to examine the behavior of the scheme.

Key words

Shape-preserving Non—oscillation positive definite advection scheme 

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References

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Copyright information

© Advances in Atmospheric Sciences 1994

Authors and Affiliations

  • Yu Rucong
    • 1
  1. 1.LASG, Institute of Atmospheric PhysicsChinese Academy of SciencesBeijing

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