Retrospective time integral scheme and its applications to the advection equation |
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| Authors: | Feng Guolin Dong Wenjie Yang Peicai Cao Hongxing Chou Jifan |
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| Institution: | (1) Department of Meteorological Sciences, Lanzhou University, 730000 Lanzhou, China;(2) Institute of Atmospheric Physics, Chinese Academy of Sciences, 100029 Beijing, China;(3) Chinese Academy of Meteorological Sciences, 100081 Beijing, China;(4) Mathematics and Physics College, Yangzhou University, 225009 Yangzhou, China |
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| 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.
The project supported by the National Key Program for Developing Basic Sciences (G1999043408 and G1998040901-1) and the National
Natural Sciences Foundation of China (40175024 and 40035010) |
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| Keywords: | time integration memorization numerical weather prediction difference scheme advection equation |
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