涡度方程

将涡度方程及绝热方程分离变量，化成非线性常微分方程组，以Runge-Kutta法在电子计算机上进行数值积分。

The vorticity equation and adiabatic equation are converted into a set of nonlinear ordinary differential equations which have been integrated on the electronic computer by using the Runge-Kutta method .

用一个带有地形项的f平面准地转正压涡度方程，实施5组积分时间长度为72h的试验，研究了中尺度地形对涡旋自组织的影响。

In order to investigate the effect of meso-scale topography on vortex self-organization , five numerical experiments , whose integral time is 72 hours , are performed using a f-plane quasi-geostrophic barotropic vorticity equation model with a topographic term .

并且用该全型涡度方程严格证明了倾斜涡度发展（SVD）理论。

Based upon this equation , the theory of Slantwise Vorticity Development ( SVD ) proposed by Wu et al .

本文首先设计了一个极坐标系正压涡度方程的半谱模式、一个准地转格点模式对涡旋Rossby波传播和热带气旋强度变化进行了较为系统的研究。

Firstly , this paper designs a polar coordinate barotropic vorticity equation semi-spectral model and a quasi-geostrophic grid model in order to research the propagation of vortex Rossby waves and tropical cyclone intensity change entirely .

从含Ekman摩擦的二层非线性准地转斜压涡度方程出发，提出了一种新的广义能量作为Lyapunov函数，导出了非线性斜压亚临界稳定性判据。

Starting from a two-layer nonlinear quasi-geostrophic baroclinic vorticity equation containing Ekman friction , a new generalized energy is proposed to act as Lyapunov function and thus a new criterion of nonlinear baroclinic subcritical instability containing two inequalities is obtained .

但在经向超长波时，则涡度方程中存在辐散项，这一结果与Matsuno得到的在热带存在Rossby波和惯性-重力波混合的情况是一致的。

While for meridional ultra-long wave the vorticity equation has a divergence term . This result agrees with that of Matsuno who obtained the mixed Rossby-gravity wave in the dry tropical atmosphere .

三维涡度方程单向周期初边值问题的拟谱&有限差分方法

Pseudospectral-Finite Difference Method for Three-Dimensional Vorticity Equation with Unilaterally Periodic Boundary Condition

求解流函数涡度方程的特征线&差分方法

Characteristics-difference method for solving the stream - function vorticity equations

滞弹性系统中对称扰动的涡度方程的特征分析

Analysis of symmetrically disturbed vorticity equation in anelastic system

本文用无辐散正压涡度方程模拟非线性临界层。

By a nondivergent barotropic vorticity equation , the nonlinear critical layer is simulated .

正压涡度方程中考虑粘性项与平滑过程的一些意见

Some opinion for considering frictional term and smoothing process in the barotropic vorticity equation

本文积分了球面函数展开的正压涡度方程。

In this paper the barotropic vorticity equation , expanded with spherical harmonics is integrated .

涡度方程的时空客观分解与副热带高压的突变与分岔

Space-Time Objective Decomposition of the Vortex Equations and the Mechanism Analysis of the Subtropical High Abnormal Activities

利用正压涡度方程计算波动能量通量时，它的形式将不同于直接利用运动方程所求得的通量，这是一个于六十年代初所提出的问题。

The energy flux derived from the barotropic vorticity equation differs from that obtained directly from the momentum equation .

考虑到地球的旋转，对前半节获得的涡度方程作出修正。

Modified the vorticity equation obtained in the first half of the class to include the earth 's rotation .

本文利用正压涡度方程讨论了旋转平行流的稳定性问题。

The stability problem of rotating parallel flows was discussed by use of the barotropic vorticity equation . A stability .

三维涡度方程单向周期问题的谱-差分混合格式及其误差估计

The Hybrid Spectral-Difference Schemes for the Three-Dimensional Vorticity Equation with One Periodic Direction in Space and it 's Error Estimation

全型涡度方程中各主要项之间的相互平衡不仅发生在长时间尺度，同样的相互适应的趋势也发生在短时间尺度。

The balance trend among the major items in CVE is not only in the long time scales but also in the short time scales .

本文对线性无辐散正压涡度方程模式进行了正规模态分析，讨论了解的性质。

In this paper , a normal mode analysis is made of the linear nondivergent barotropic vorticity equation model with characteristics of the solutions discussed .

本文用准地转位势涡度方程，在基本气流随时空缓变的条件下将其线性化。

The quasi-geostrophic potential vorticity equation used in this paper is linearized under the conditions that the basic atmospheric currents vary gradually with time and space .

其次，从β平面上的正压涡度方程出发，在一定条件下导出了非纬向流扰动波速表达式。

Further , expression of the disturbance wave velocity in non-zonal current is obtained by use of the barotropic vorticity equation on the β - plant .

采用准地转正压涡度方程模式，对地形强迫和陆地摩擦作用下登陆热带气旋的路径和强度进行了模拟研究。

A quasi-geostrophic barotropic vorticity equation model is used to simulate the influences of topographic forcing and land friction on landfall tropical cyclone track and intensity .

在简要回顾经典涡度方程和全型涡度方程推导的基础上，比较了两种涡度方程的异同。

After a brief review on the deductions of the complete form vorticity equation and traditional vorticity equation , comparisons between the two equations are made .

在两种边界条件下用正压大气非线性位势涡度方程模拟了强迫、耗散和非线性共同作用下大气运动的若干特征。

Some characteristics of barotropic atmosphere are illustrated by numerical modeling , basing on a potential vorticity equation with forcing , dissipation , and non-linear interaction .

同时还对同时期热带赤道地区强对流活动区域进行了涡度方程诊断分析，将其涡旋环流场的维持机制与夏季高原地区进行了比较。

The physics mechanisms of maintaining the stable circulation fields are de - tailed , and compared with the status in the tropical strong convective activity areas .

涡度方程分析还表明，对于涡度倾向变化的贡献中，水平涡度平流的贡献最大、β效应的贡献最小；

In the vorticity equation , the contribution to the vorticity trend from the horizontal advection term was the maximum , and the one from the Beta effect the minimum .

从强迫耗散无辐散正压涡度方程出发，用不同方案模拟试验得到它的数值解，它与方程解析解的特征较为一致。

Using the forced dissipative nondivergent nonlinear barotropic vorticity equation and by means of various schemes , we get its numerical solution , which accords with the attribute of its analytical solution .

本文是对第一部分的数值试验结果进行涡度方程以及位能、散度风动能和旋转风动能之间的能量转换函数诊断分析，并讨论了地形动力作用和潜热加热影响西南低涡形成和发展的物理过程。

This paper applies the numerically simulated results of paper [ 1 ] to diagnose vorticity equation and the energy conversion function among potential energy , divergent wind energy and rotational wind energy .

本文利用正压涡度方程模式研究了热带不同经度位置异常强迫激发的中纬响应类型与北半球冬季基本气流定常波结构的关系。

In this paper , a barotropic vorticity equation model is used to investigate the relationship between midlatitude response of tropic forcing from different longitudinal positions and Northern winter stationary waves of basic flow .

其次考虑在涡度方程中加上粘性项后对微分方程解的影响，讨论如何选取适当的粘性系数。

Secondly we study the influence on the solution of the differential equation by adding frictional term in the vorticity equation , and then show how to choose suitable frictional coefficient in this case .