An applied mathematics perspective on stochastic modelling for climate
An applied mathematics perspective on stochastic modelling for climate
复制标题
气候随机建模的应用数学视角
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
B. Khouider
中科院分区：
文献类型：
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作者：
A. Majda;C. Franzke;B. Khouider
本文综述了应用数学在气候随机建模方面的系统策略。讨论的主题之一是通过几种遥相关模式对中纬度低频变率的随机模拟，包括乘性噪声的中心作用和物理机制。建立了一个新的低维随机模式，它模拟了大气环流模式的主要特征，用来检验随机模式降阶过程的保真度。这里讨论的第二个主题是随机格子模型的系统设计，以捕捉不能通过确定性参数化解决的不规则和高度间歇的特征。在热带深对流的理想化背景下，给出了一种新的具有间歇性的随机柱模式的应用数学设计原理，并给出了该随机模式在减缓对流耦合波和增加其涨落方面的实际效果。
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.