射流动力学的动力学理论和准线性理论
Kinetic theory and quasilinear theories of jet dynamics
摘要:
本文综述了行星大气中喷流形成和维持理论的研究进展。该理论是建立在政权velocityfluctuations周围的基础射流是非常小的zonaljet速度本身相比。这种情况在许多自然喷流中很常见,例如在外行星的大气中,最常见的例子可能是木星的对流层喷流。正如本书其他章节所讨论的,木星纬向喷流附近的波动比纬向喷流本身要小。在这样一种状态下,用准线性近似来处理非纬向动力学部分是很自然的,而且常常是合理的:在首阶,非纬向流的动力学由近似于准定常纬向喷流的线性化方程来描述。该理论的基础上,称为随机平均的多尺度方法,共享相似性与随机结构稳定性理论(S3 T)和二阶封闭(CE 2),也讨论了其他章节的书。基本问题是:什么时候这种方法是有效的,为什么,做这种近似的限制和预期的误差是什么?
英文摘要:
We review progress that has been made to constructa theory for the jet formation and maintenance in planetary atmospheres. The theory is built in the regime where velocityfluctuations around the base jet are very small compared to the zonaljet velocity itself. Such situations are frequent in many naturaljets, for instance in the atmosphere of outer planets, the most prominentexample being probably Jupiter's troposphere jets. As discussed inother chapters of this book, fluctuations close to Jupiter zonaljets are smaller than the zonal jets themselves. In such a regime, it is natural and often justified to treat the non-zonalpart of the dynamics with a quasi-linear approximation: at leadingorder the dynamics of the non-zonal flow is described by theequation linearized close to the quasi-stationary zonal jets. The theory, based on a multi-scale method called stochastic averaging, share similarities with Stochastic Structural Stability Theory (S3T) and with second order closure(CE2), also discussed in other chapters of the book.The aim of this contribution is to discuss the theoretical aspects of sucha quasilinear description of statistically stationary jets. The basicquestions are: when does such an approach is expected to be valid,why, what are the limitations and the expected errors done doing suchapproximations?
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