速度势

本文假定R.基于低速与量级假定，将总速度势Φ分为合模势（？）

Based on R. The total velocity potential Φ is divided into two parts , the double-model potential (?)

用几何独立的B样条高阶面元法进行多体水动力分析，速度势用任意阶的B样条函数近似，物面可以用任意的分片连续函数表示。

A geometry-independent higher-order panel method is applied to multiple-body hydrodynamic analysis in this paper , the velocity potential is approximated by B-splines of arbitrary order and the geometry is represented by any piecewise continuous functions .

基于三维速度势场的AUV局部避碰研究

An AUV Obstacle-Avoidance Method Based on Three-dimensional Velocity Potential Field

用解析方法计算V形贯底式防波堤在波浪绕射作用下周围流域任意点的速度势，研究波浪作用在V形贯底式防波堤上的波浪力。

An analytical method is developed to study wave potential in the fluid domain around V-shaped bottom-mounted breakwater in order to determine the wave pressure exerted on it in this paper .

以势场方法的思想为出发点，提出一种基于速度势场的AUV局部避碰仿真方法。

A local obstacle avoidance approach for AUV based on velocity potential field is presented with the idea of potential methods .

忽略流体的压缩性可以引入速度势理论，流体满足Laplace方程。

As a result , the velocity potential can be introduced , which satisfies the Laplace equation when the compressibility of the liquid is ignored .

物体表面的控制参数通过最小二乘原理确定，速度势控制参数通过Galerkin理论确定。

The expansion coeffients for the body geometry are determined by the Least Square Method , and the coefficents for velocity potentials by the Galerkin Method .

在建立三维流场轴对称情况下，利用轴对称的性质，由STOKES流函数推导出三维流线，流函数与速度势的关系。

By using the symmetry of three-dimensional flow as the theoretical foundation , stokes stream function can be used to infer the relationship among the streamline , stream function and velocity potential .

根据AUV的特点建立了空间碰撞危险区域和由水平面速度势场和垂直面速度势场组成的三维速度势场。

According to the characteristics of AUV , the collision field and three-dimensional velocity potential field are built , and the latter is composed of horizontal and vertical velocity potential fields .

在Dan发生发展的不同时期，由大尺度水汽通量流函数和速度势表示的水汽通量输送和辐合也有明显的变化，表明水汽输送和辐合在Dan的发生发展及消亡过程中有一定作用。

During different periods of Dan , there was great water vapor change as indicated by stream function , velocity potential and vapor budget , which showed the importance of water vapor in the development of typhoon Dan .

首先将速度势函数Ф在自由液面处作波高函数η的Taylor级数展开，从而导出自由液面运动学和动力学边界条件非线性方程组；

First , the Taylor series about wave elevation function η in the liquid free surface of velocity potential function was derived , and the nonlinear equations of free surface kinetic boundary condition and dynamic boundary condition was gained .

自由面的位移是Hamilton意义下的正则变量，其对偶变量是上层流体在自由面上取值的速度势与密度的乘积。

The displacement of free surface is canonical variable in Hamilton 's sense , and its conjugate variable is the product of the velocity potential evaluated at the free surface and the density of the upper fluid .

本文以平均速度势表示的Boussinesq方程为控制方程，采用文献[1]中所提出的谱方法，研究孤立波在变水深下对直立大圆柱的绕射。

Using the spectral method presented by [ 1 ] , the diffraction of a solitary wave around large vertical cylinder is investigated by solving the Boussinesq equations which are expressed by depth-averaged velocity potential .

为采用Rankine源方法求解水动力问题提供前提条件。2.基于三维线性势流理论，建立有航速船体扰动流场速度势的定解条件。

It provides precondition for the application of Rankine panel method . Secondly , based on the 3-D linear potential flow theory , the definite conditions of velocity potential of the disturbance flow field around the ship with forward speed are established .

采用自由面高度和自由面上速度势构成的Hamilton正则变量表示骑行波的动能密度，并在未受扰动波的自由面上作一阶展开。

The pair of Hamilton canonical variables formed by the height of the free surface and the velocity potential on free surface was used to express the density of kinetic energy of riding waves , and was expanded to the first order on the free surface of the unperturbed waves .

首先从速度势波动方程和Neumann边界条件出发，运用Laplace变换推导了全息面声压到重建面声压之间的脉冲响应函数，并阐述了基于该脉冲响应函数的声压重建过程。

The impulse response function between sound pressure on the hologram plane and sound pressure on the reconstruction plane was first deduced by Laplace transform from the wave equation of velocity potential and Neumann boundary condition , and then based on it the reconstruction process of sound pressure was shown .

Tuck提出的渐近匹配展开法，可以得到定深度扰动速度势的摄动方程。对水深缓慢变化的海底，舰船的绕流不再是定常的，根据A。

The Subcritical potential flows of a slender ship moving over a constant and slowly varying depth in wide shallow waters can be analyzed by the methods of matched asymptotic expansions and multiple scales , and the perturbation equations on constant and varying depth can be obtained .

从100hPa流场形势、低层到高层速度势和流函数的上下配置、辐合辐散风场以及涡旋风场的高低空配置等不同方面讨论了南亚高压对华北夏季降水的影响机制。

The atmospheric circulation at 100 hPa , the stream function and the velocity potential at different heights are composed and discussed in order to depict the mechanism of the influence of the South Asian High on precipitation in North China .

最早由Ursell（1949）提出的多极展开法是一种在极坐标和球坐标系下解析求解海洋工程水动力学问题的方法，可提供深水中速度势有效精确的表达形式。

The multipole expansion method , first proposed by Ursell ( 1949 ), is an analytic method for solving hydrodynamic problems in ocean engineering in polar coordinates and spherical coordinates , which will provide an effective and accurate form of the velocity potential in deep water .

时域速度势和流体动力的数值计算

Numerical Calculation of Velocity Potential and Fluid Dynamic in Time domain

无锚固储液罐流体速度势及简化模型

Fluid velocity potential and simplified model for unanchored liquid storage tank

用基于速度势的低阶面元法对螺旋桨非定常空泡进行了预报分析，并对数值分析中的几个重点问题进行了分析讨论。

Propeller unsteady cavitation prediction is carried out based on surface-panel method .

三维移动脉动源速度势的数值研究

Numerical Studies on Potential of A 3-D Pulsating Source in Uniform Stream

用基于速度势的面元法预估导管桨的非定常性能

Prediction of unsteady performance of ducted propellers by potential based panel method

基于速度势侵彻模型的应用研究

Application of the Velocity Potential Model to Penetration Study

基本函数是速度势。

The basic fuc-tion is the velocity potential .

有限水深二维绕射问题的二阶速度势和水动力

Second order potentials and forces for two dimension diffraction problem of finite water depth

一种基于速度势场的局部在线避碰方法

One obstacles avoidance method by velocity potential field

无界域中常用面元上分布奇点的诱导速度势和诱导速度

On the Calculation of Induced Potentials and Velocities by Some Most Used Singularity Panels

水面下均流中空间任意方位马蹄涡之诱导速度势

Induced Velocity Potential of an Arbitrary Horseshoe Vortex in the Uniform Flowfield with Free Surface