Majda Andrew J, Franzke Christian, Khouider Boualem
Department of Mathematics and Center for Atmosphere-Ocean Science, Courant Institute of Mathematical Sciences, New York University, New York, 10012 NY, USA.
Philos Trans A Math Phys Eng Sci. 2008 Jul 28;366(1875):2429-55. doi: 10.1098/rsta.2008.0012.
Systematic strategies from applied mathematics for stochastic modelling in climate are reviewed here. One of the topics discussed is the stochastic modelling of mid-latitude low-frequency variability through a few teleconnection patterns, including the central role and physical mechanisms responsible for multiplicative noise. A new low-dimensional stochastic model is developed here, which mimics key features of atmospheric general circulation models, to test the fidelity of stochastic mode reduction procedures. The second topic discussed here is the systematic design of stochastic lattice models to capture irregular and highly intermittent features that are not resolved by a deterministic parametrization. A recent applied mathematics design principle for stochastic column modelling with intermittency is illustrated in an idealized setting for deep tropical convection; the practical effect of this stochastic model in both slowing down convectively coupled waves and increasing their fluctuations is presented here.
本文回顾了应用数学中用于气候随机建模的系统策略。讨论的主题之一是通过一些遥相关型对中纬度低频变率进行随机建模，包括乘性噪声的核心作用和物理机制。这里开发了一个新的低维随机模型，它模拟大气环流模式的关键特征，以测试随机模式降阶程序的保真度。本文讨论的第二个主题是随机晶格模型的系统设计，以捕捉确定性参数化无法解析的不规则和高度间歇性特征。在深热带对流的理想化环境中展示了最近用于间歇性随机柱体建模的应用数学设计原理；这里展示了该随机模型在减缓对流耦合波并增加其波动方面的实际效果。
