Shia R L, Ha Y L, Wen J S, Yung Y L
Division of Geological and Planetary Sciences, California Institute of Technology, Pasadena, USA.
J Geophys Res. 1990 May 20;95(D6):7467-83. doi: 10.1029/jd095id06p07467.
Extensive testing of the advective scheme, proposed by Prather (1986), has been carried out in support of the California Institute of Technology-Jet Propulsion Laboratory two-dimensional model of the middle atmosphere. We generalize the original scheme to include higher-order moments. In addition, we show how well the scheme works in the presence of chemistry as well as eddy diffusion. Six types of numerical experiments including simple clock motion and pure advection in two dimensions have been investigated in detail. By comparison with analytic solutions it is shown that the new algorithm can faithfully preserve concentration profiles, has essentially no numerical diffusion, and is superior to a typical fourth-order finite difference scheme.
为支持加州理工学院喷气推进实验室的中层大气二维模型，对普拉瑟（1986年）提出的平流方案进行了广泛测试。我们将原始方案推广到包含高阶矩的情况。此外，我们展示了该方案在有化学过程以及涡动扩散存在的情况下的运行效果。详细研究了六种数值实验，包括简单的时钟运动和二维纯平流。通过与解析解比较表明，新算法能够如实地保持浓度分布，基本没有数值扩散，并且优于典型的四阶有限差分方案。
