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Energy dispersion of complex non-isolated vortices

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分类：P315.7[天文地球—地震学;天文地球—固体地球物理学;天文地球—地球物理学] TQ172.614[化学工程—水泥工业;化学工程—硅酸盐工业]
作者机构：[1]Key Laboratory of Meteorological Disaster of Ministry of Education, Nanjing University oflnformation Science and Technology, Nanjing 210044, China, [2]Wuxi Research Center of Environmental Science and Technology, Wuxi 214031, China
相关基金：We are grateful to three anonymous reviewers for thoughtful comments, which improved the manuscript. This work was supported by the National Natural Science Foundation of China （40775038, 40975036 and 40730948）.
相关项目：登陆台风强度变化机理研究

关键词：能量色散, 非隔离式, 旋涡, 非线性关系, 中尺度涡, 台风预报, 结构模式, 傅立叶变换, vortex, tropical cyclone （TC）, complex structural pattern, energy dispersion, wave train

中文摘要：

精力分散是在象台风，大雨和地震那样的自然灾难的学习的一个基本科学问题。这个问题被多纪律研究和预报研究处理了。孤立的圆形的旋涡精力分散的动力学被解决了。然而，台风和大雨的灾难性的结果经常由于非孤立的圆形的旋涡，其动力学在这篇论文被探索发生。有复杂结构的模式的非孤立的旋涡的精力分散特征用一个线性化的 nondivergent barotropical 涡度方程模型被检验。在起始的领域里，一个热带气旋(TC ) 旋涡和一个中央规模旋涡共存，形成一个复杂结构的模式。一个分析答案基于 Fourier，用一个二维的模型的变换和模拟显示出下列。(1 ) TC-G-D 的一列波浪火车可以被没有一个中央规模旋涡，连接波浪火车的三个成员中心的线与在一个起始的 TC 旋涡的情况中的 x 轴平行的能量分散创造。(2 ) TC-G-D 的一列波浪火车可以被能量分散也创造。然而，连接波浪火车的三个成员中心的线将不再与 x 轴平行。相反，他们将与中央规模旋涡面对起始的 TC 旋涡形成一个三角形。(3 ) 在中央规模旋涡和三角的基础角度的起始的紧张之间有一种非线性的关系。这些结果有潜力在台风预报的域里被使用。

英文摘要：

Energy dispersion is a fundamental scientific problem in the study of natural disasters such as typhoons, heavy rain and earth-quakes. The problem has been addressed by both multi-discipline research and forecast studies. The dynamics of isolated circular vortex energy dispersion have been solved. However, the disastrous results of typhoons and heavy rain often occur due to non-isolated circular vortices, the dynamics of which are explored in this paper. The energy dispersion characteristics of non-isolated vortices with complex structural patterns are examined using a linearized nondivergent barotropical vorticity equa- tion model. In the initial field, a tropical cyclone （TC） vortex and a meso-scale vortex coexist, forming a complex structural pat- tern. An analytic solution based on a Fourier transform and simulations using a two-dimensional model show the following. （1） A wave train of TC-G-D may be created by the energy dispersion where the line connecting the three member centers of the wave train is parallel to the x axis in the case of an initial TC vortex without a meso-scale vortex. （2） A wave train of TC-G-D may also be created by energy dispersion. However, the line connecting the three member centers of the wave train would no longer be parallel to the x axis. Instead, they would form a triangle in the presence of the initial TC vortex with the meso-scale vortex. （3） There is a nonlinear relationship between the initial intensity of the meso-scale vortex and the base angle of the triangle. These results have the potential to be applied in the field of typhoon forecasting.

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