摘要
为了使用以制作数值预报的微分方程中包含更多的信息量、以期提高预报准确度 ,该文提出了一种基于记忆动力学的时间积分格式。以天气预报为实例 ,计算表明 ,平流方程的回溯时间积分格式所得的预报准确度大大高于传统的蛙跃差分格式。此方法在海洋、水文、环境、航空等应用平流方程计算的多种科学中亦是有效的。
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 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.
出处
《应用气象学报》
CSCD
北大核心
2002年第2期207-217,共11页
Journal of Applied Meteorological Science
基金
国家自然科学基金 ( 4 0 1 75 0 2 4
4 0 1 75 0 2 7)
国家重点基础研究发展规划 (G1 9980 4 0 90 1 -1 )
