Using the perturbation method we have got the fourth order of approximation of the velocity potential to the problem .

运用摄动方法，给出了 速度 势的四阶近似，然后得到了圆柱表面的无量纲的压力系数和阻力系数。

The accurate velocity potential equation is chosen as a mathematical model of the problem .

选用精确 速 势方程作为问题的数学模型。

Complex Numbers Finally we give as an example the calculation of complex velocity potential for a twisted duct with square cross-section .

最后给出了一个方形扭曲管的复 速度 势计算实例。

While a vehicle flying near surface waves flow fields are analyzed based on ground ( water ) - effect vehicle 's features and the concept of corrective terms of unsteady velocity potential flow affected by vehicle-wave coupling is presented by means of a linear superposition principle .

针对地（水）面效应飞行器的特点，分析了近水面波飞行时的流场特征，利用线性叠加原理，提出了飞行器与水面波耦合影响的非定常 速度 势修正项概念。

While the added-mass damping coefficient as well as exciting force and moment are the each coefficient of the lateral coupled equations that Salvesen derived by the section velocity potential .

其中附加质量、阻尼系数和扰动力及力矩利用赛尔维逊由剖面 速度 势导出的横向耦合运动方程组中的各个系数。

Numerical Calculation of Velocity Potential and Fluid Dynamic in Time domain

时域 速度 势和流体动力的数值计算

For subsonic aerodynamic analysis Linearized Velocity Potential Theory is used to evaluate the aerodynamic coefficient and we can get subsonic aerodynamic model of vehicle by Regression Analysis .

在进行亚音速气动分析时，应用线化 速度 势理论计算运载器的气动力系数，而后进行回归分析，得到运载器亚音速飞行时的气动特性模型。

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 .

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 system of fluid-structure interaction is analyzed by the method of dry modes of ship 's hull and the velocity potential of fluid motion is solved by the direct boundary integral equations of two - dimensional boundary element method .

流固耦合系统采用干模态分析方法，流体运动 速度 势采用二维边界元的直接边界积分方程求解。

Using the spectral method presented by 1 w_1544 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 .

本文以平均 速度 势表示的Boussinesq方程为控制方程，采用文献1w_1586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。

In this paper the velocity potential exited by wave-current on a cylinder is divided into three parts-the double model velocity potential the steady current exiting wave potential and the unsteady diffraction wave potential .

本文将波流共同对圆柱作用的 速度 势分成合模势（无自由表面的绕流速度势）、流兴波势和非定常波势三部分。

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 .

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。

Application of the Velocity Potential Model to Penetration Study

基于 速度 势侵彻模型的应用研究

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 .

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。

In the method a new analytical expression for the diffraction velocity potential is obtained first by use of an eigenfunction expansion method and then the wave excitation force is calculated by use of the known incident wave potential and the diffraction potential .

对该方法首先采用特征函数展开法得到绕射 速度 势的一种新解析式，然后直接由绕射势和入射势来计算波浪激励力。

An Accurate Solution Method of Stream Function and Velocity Potential from the Wind Field in a Limited Area

用有限区域风速场准确求解流函数和 速度 势场的方法

In order to analyze the influence of fins a low-order panel method based on velocity potential was used to predict the steady hydrodynamic performance of a podded propeller with fins .

为了分析鳍对吊舱推进器水动力性能的影响，用基于 速度 势的低阶面元法预报附鳍吊舱推进器的定常水动力性能。

This paper has adopted the low-order surface panel method based on velocity potential to predict the unsteady performance of propeller .

本文采用基于 速度 势的低阶面元法进行螺旋桨非定常性能的预报。

The Application of Transonic Velocity Potential Equation with Higher Order Approximation for Computing the Pressure Distribution over the Blunt Leading-edge Airfoil

应用跨音速高级近似扰动 速 势方程计算钝前缘翼型的压力分布

The accurate velocity potential equation is made discrete by the finite difference scheme ( using central difference scheme in subsonic region and using rotated difference scheme in supersonic region ) in the computational space .

在计算空间中，用有限差分格式（亚音速区用中心差分，超音速区用旋转差分）对精确 速 势方程离散化。

Based on the analysis of linear wave making theory the velocity potential and free surface wave profile were formulated for a 3 D bound vortex translating under the near free surface . The required numerical methods were implemented and the example computations were carried out .

基于段涡的线性兴波理论分析，给出了段涡的线性兴波 速度 势和自由表面波形的计算公式，提供了数值计算方法并且给出了相应的数值计算结果。

The hydrodynamic performance of propeller-rudder and rudder ball system was calculated by using the surface panel method theory which is based on velocity potential .

运用基于 速度 势的面元法理论对桨-舵和舵球干扰的水动力性能进行理论计算。

This paper firstly analyses the limitations of traditional potential field methods in dynamic environment and based on this analysis the traditional potential field is improved by introducing the concept of velocity potential field .

分析了传统势场法在动态环境下的不足，并在此基础上引入了 速度 势 场的概念，改进了传统的势场 函数，推导出 新 的 引力 函数 和 斥力 函数。

Based on potential flow theory current velocity and ferrying velocity is considered . Confirmative conditions of the velocity potential are established by means of transforming coordinates .

该方法基于势流理论，考虑门桥的漕渡速度和水流速度，通过坐标变换，确定了 速度 势的适定性条件。

Under certain hypotheses Stokes waves on uniform current are still Stokes waves with variant parameters . The effects of current on wave parameters are obtained by the conservation of mass momentum energy and dispersion relation . So the velocity potential of wave-current field can be determined .

在一定假设下，利用均匀流上Stokes波仍为Stokes波和波流作用前后质量、动量、能量守恒及色散关系，求出水流中波要素的变化和波 流场 势函数。

Based on the hydroelastic response theory the motions of the VLFS are analyzed in the dissertation and then the velocity potential of fluid and the velocity potential of deflection wave of VLFS are solved .

本文在水弹性响应理论的基础上对超大型浮体结构的运动进行了分析，并求解出流体的 速度 势和浮体挠曲波速度势。

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 .

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。

In this method the velocity potential is separated into steady and unsteady parts and the linear complex partial differential equation with spatially variable coefficients for the unsteady velocity potential of small disturbances is solved using transonic relaxation procedure .

其中 速度 势被分解为定常和非定常小扰动两部分，并用跨音松弛法求解关于非定常扰动速势的空问变系数线性复变量微分方程。

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 .

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。

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

忽略流体的压缩性可以引入 速度 势理论，流体满足Laplace方程。