A NEW SCHEME FOR IMPROVING THE ACCURACY OF NUMERICAL PREDITION —RETROSPECTIVE TIME INTEGRATION SCHEME

Feng Guolin; Cao Hongxing; Gu Xianqian; Chou Jifan

Vol.13, NO.2, 2002

Article Contents

Article Navigation > Journal of Applied Meteorological Science > 2002 > 13(2): 207-217

Feng Guolin, Cao Hongxing, Gu Xianqian, et al. A new scheme for improving the accuracy of numerical predition —retrospective time integration scheme. J Appl Meteor Sci, 2002, 13(2): 207-217.

Citation:

Feng Guolin, Cao Hongxing, Gu Xianqian, et al. A new scheme for improving the accuracy of numerical predition —retrospective time integration scheme. J Appl Meteor Sci, 2002, 13(2): 207-217.

Feng Guolin, Cao Hongxing, Gu Xianqian, et al. A new scheme for improving the accuracy of numerical predition —retrospective time integration scheme. J Appl Meteor Sci, 2002, 13(2): 207-217.

Citation:

Feng Guolin, Cao Hongxing, Gu Xianqian, et al. A new scheme for improving the accuracy of numerical predition —retrospective time integration scheme. J Appl Meteor Sci, 2002, 13(2): 207-217.

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A NEW SCHEME FOR IMPROVING THE ACCURACY OF NUMERICAL PREDITION —RETROSPECTIVE TIME INTEGRATION SCHEME

1.
Mathematics and Physics College, Yangzhou University, Yangzhou 225009
2.
Chinese Academy of Meteorological Sciences, Beijing 100081
3.
CMA Training Center, Beijing 100081

Received Date: 2000-02-02
Rev Recd Date: 2000-09-25
Publish Date: 2002-04-30

Abstract

Abstract

To put more information into difference scheme of a differential equation for making an accurate prediction, a new kind of time integration scheme, known as the retrospective scheme, is proposed on the basis of the memorial dynamics. Stability criteria of the scheme of an advection equation in certain conditions are derived mathematically. The computations for the advection equation have been conducted with its retrospective scheme. It is shown that the accuracy of the scheme is much higher than that of the leapfrog difference scheme. The retrospective time integration scheme can be applied to oceanography, hydrology, environmental sciences, aviation and so on.
- Time integration;
- Memory;
- Numerical weather prediction;

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References(10)

Figures and Tables

图 1 稳定区域Ⅰ与不稳定区域Ⅱ、Ⅲ

(纵坐标ωΔt, 横坐标为ε, ω是频率, ε是式 (21) 中的一个记忆参数)

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图 2 ε≥0, E=(3 +ε)²/ 4-(ωΔt)²时的稳定域 (说明同图 1)

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图 3 区域Ⅱ和Ⅲ中的稳定区域

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图 4 Ⅰ、Ⅱ和Ⅲ三个区中稳定域的合并

(Ⅱ_s和Ⅲ_s是图 3中相应部分的缩小)

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表 1 蛙跃格式 (LF) 与回溯格式 (RT) 在时间积分中的精确度的比较

References

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