Acta Mechanica Sinica

, Volume 18, Issue 1, pp 53–65 | Cite as

Retrospective time integral scheme and its applications to the advection equation

  • Feng Guolin
  • Dong Wenjie
  • Yang Peicai
  • Cao Hongxing
  • Chou Jifan
Article

Abstract

To put more information into a difference scheme of a differential equation for making an accurate prediction, a new kind of time integration scheme, known as the retrospective (RT) scheme, is proposed on the basis of the memorial dynamics. Stability criteria of the scheme for an advection equation in certain conditions are derived mathematically. The computations for the advection equation have been conducted with its RT scheme. It is shown that the accuracy of the scheme is much higher than that of the leapfrog (LF) difference scheme.

Key words

time integration memorization numerical weather prediction difference scheme advection equation 

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Copyright information

© Chinese Society of Theoretical and Applied Mechanics 2002

Authors and Affiliations

  • Feng Guolin
    • 1
    • 4
  • Dong Wenjie
    • 2
  • Yang Peicai
    • 2
  • Cao Hongxing
    • 3
  • Chou Jifan
    • 1
  1. 1.Department of Meteorological SciencesLanzhou UniversityLanzhouChina
  2. 2.Institute of Atmospheric PhysicsChinese Academy of SciencesBeijingChina
  3. 3.Chinese Academy of Meteorological SciencesBeijingChina
  4. 4.Mathematics and Physics CollegeYangzhou UniversityYangzhouChina

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