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非线性对称不稳定
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  nonlinear symmetric instability
     On Problem of Nonlinear Symmetric Instability in Zonal Shear Flow
     维向切变流中的非线性对称不稳定(英文)
短句来源
     This paper is focused on the problem of nonlinear symmetric instability in a baroclinic basic flow.
     讨论了维向切变流中的非线性对称不稳定问题。
短句来源
  “非线性对称不稳定”译为未确定词的双语例句
     In this paper, the Lagrang parcel theory was applied to simplify the symmetric motion equation in the atmosphere, on the base, bifurcation and catastrophe theories were used to discuss the role of Ertel potential vorticity in the symmetric instability under the condition of the environmental geostrophic wind nonlinear shear distribution, and some new results were obtained.
     本文应用Lagrange质点理论对大气中对称运动方程进行了简化,在此基础上进一步利用分岔和突变理论分析了环境地转风为非线性分布的情况下,Ertel位涡在非线性对称不稳定中的作用,并得到了一些有意义的结果。
短句来源
     With growth of the perturbations, non-linear interaction of advection term happens and the symmetric circulations are destroyed.
     而非线性对称不稳定在其发展初期与线性情况相同,当扰动增长到一定程度时非线性平流项的作用不可忽略,原来对称的环流则被破坏。
短句来源
  相似匹配句对
     SYMMETRY AND DUALITY PROPERTIES OF NONLINEAR LAYOUT
     非线性规划的对称对偶性
短句来源
     Symmetric derivatives of nonlinear Operators
     非线性算子的对称导数
短句来源
     Research on Linear and Nonlinear Mesoscale Symmetric Instability Theory
     线性和非线性中尺度对称不稳定性研究
短句来源
     ERTEL POTENTIAL VORTICITY AND NONLIN-EAR SYMMETRIC INSTABILITY PROBLEM IN THE ATMOSPHERE
     Ertel位涡和非线性对称不稳定性问题
短句来源
     The Nonlinear Convective-Symmetric Instability During the Development of Mesoscale Convective System
     中尺度对流系统演变中的非线性对流-对称不稳定
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  nonlinear symmetric instability
On problem of nonlinear symmetric instability in zonal shear flow
      
This paper is focused on the problem of nonlinear symmetric instability in a baroclinic basic flow.
      


By utilizing a non.-geostrophic and non-hydrostatic EADY's model, the non-linear symmetric instability in the viscous baroclinic current is discussed. It is considered that the basic field has constant vertical and horizontal shear and the disturbance field does not change in the direction of the basic current. By using the perturbation method, the disturbance amplitude equation in the nonlinear case is obtained. The results show that the amplitude |A(T)| has twomeaningful equilibrium points |A|b1=0 and when...

By utilizing a non.-geostrophic and non-hydrostatic EADY's model, the non-linear symmetric instability in the viscous baroclinic current is discussed. It is considered that the basic field has constant vertical and horizontal shear and the disturbance field does not change in the direction of the basic current. By using the perturbation method, the disturbance amplitude equation in the nonlinear case is obtained. The results show that the amplitude |A(T)| has twomeaningful equilibrium points |A|b1=0 and when δ>0(δis a non-dimensional parameter, μ1 and μ2 are parameters concerning the fluid, area and wave parameter). |A|b1 is an unstable equilibrium point and |A|b2 is a stable one. Hence, the final state tends to the stable equilibrium point, i.e. finite-amplitude phenomenon whatever the initial value. The amplitude |A| has noly a meaningful equilibrium point |A|b1=0 which is stable when δ<0. The linear case is a special case of nonlinear case.

本文通过一个非地转、非静力的Eady模式讨论了斜压粘性流中的非线性对称不稳定。采用具有常值水平和垂直切变的基本场,考虑扰动沿基本气流方向不变,应用摄动方法,得到了非线性情况下扰动振幅的特性方程。结果表明,当δ>0时(δ是进行稳定性分析时所选取的无量纲小参数),振幅|A(T)|存在两个有意义的平衡点|A|_(b1)=0和|A|_(b2)=(-μ_2/μ_1)~(1/2)(μ_1,μ_2是和流体性质、区域大小以及波参数有关的量),|A|_(b1)为不稳定平衡点,|A|_(b2)为稳定平衡点。因此,不论初态如何,终态都趋于稳定平衡点,出现有限振幅现象。当δ<0时,振幅|A(T)|仅有一个有意义的平衡点|A|_(b1)=0,且为稳定平衡点。线性分析所得结果为非线性结果的特例。

In this paper, the Lagrang parcel theory was applied to simplify the symmetric motion equation in the atmosphere, on the base, bifurcation and catastrophe theories were used to discuss the role of Ertel potential vorticity in the symmetric instability under the condition of the environmental geostrophic wind nonlinear shear distribution, and some new results were obtained.

本文应用Lagrange质点理论对大气中对称运动方程进行了简化,在此基础上进一步利用分岔和突变理论分析了环境地转风为非线性分布的情况下,Ertel位涡在非线性对称不稳定中的作用,并得到了一些有意义的结果。

The present paper has comprehensively reviewed the state of symmetric instabilitytheory and its application to mesoscale meteorology。 Here is its part 2 which mainlydeals with the nonlinear theory.It includes the general approach to study of nonlinearsymmetric instability and the stability of the steady,two-dimensional non-linearsymmetric circulation。 Finally, the differences in application between the non-linear and1inear theories are discussed。

文章对对称不稳定理论及其应用的现状进行了全面的评述,这里是该文的第二部分。主要讨论非线性理论,这包括非线性对称不稳定的一般研究方法(能量积分法,奇异摄动法,气块质点法,分岔和突变理论,数值试验),二维定常非线性对称环流的稳定性等问题。最后讨论了线性理论和非线性理论在实际应用方面的差异。

 
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