Gridless Method for the Simulation of Transonic and Supersonic Flows; THE AERODYNAMIC PERFORMANCE COMPUTATION OF WINGS USING TRANSONIC FULL POTENTIAL EQUATION 无网格方法在跨音速、超音速流场数值模拟中的应用跨音速全位势方程的机翼气动性能计算
The potential equation had figured in the eighteenth-century work on gravitation. 位势方程在十八世纪关于引力的研究中已显露头角。
Four-Dimensional Covariant form of Constitutive Relationship and Potential Equation in Moving Medium and Retarded Solution; 在真空中麦氏方程组四维协变形式的基础上,推导出介质中麦氏方程组的四维协变形式。
The aerodynamic performance computation of wings using transonic full potential equation 跨音速全位势方程的机翼气动性能计算
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
When the double and array dipoles are put in the conductive media, the formula of radiation field of them have been derived from vector potential equation of single dipole. 利用电偶极子辐射场的矢势导出了阵列偶极子在导电媒质中辐射场的一般形式,所给出的公式不仅适用于近区、感应区,而且还适用于远区。
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。
The large computed electric fields given by simplified model in literature [ 6] are greatly different from those by solving the electric potential equation, which cause the great difference of the flow parameters, such as pressure and velocity. 文献[6]给出的线化电场模型和本文得到的电场相比,具有较大的差别,该差别引起了流动参数显著差别。
A three-dimensional potential equation is deduced with the non-orthogonal curvilinear coordinates for the inviscid region. A corresponding general boundary layer differential equation is deduced for viscous region. 推导出了非正交曲线坐标形式的三维势函数方程与相应的两类流面通用的边界层微分方程。
The electric field was simulated by electric potential equation. 电场由电势方程近似反映,只考虑周向自感应磁场。
A transonic axisymmetrical potential equation with large disturbance in the free stream direction and small disturbance in the transverse direction is solved by using the Murman-Cole schemes of finite differences. 应用Murman-Cole的有限差分法,求解具有纵向大扰动而横向小扰动的跨音速轴对称速势方程,由此计算旋转体跨音速零升力时的压力分布和波阻力,以及激波位置。
In this paper, numerical computed results are presented for 10 °, 20 ° cone-cylinder, using a mixed finite difference scheme for the transonic small disturbance potential equation, and using a rotational difference scheme as well as a simple difference scheme for the full potential equation. 对于10°、20°锥柱体,用跨肯速小扰动位势流的混合有限差分格式,用跨音速完全位势流的旋转差分格式与简易差分格式,做了数值计算。
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。
The full potential equation is solved by the time-accurate approximate factorization algorithm and internal Newton iterations, and the Euler equation by the finite-volume resolution scheme and dual-time stepping. 对全位势方程采用精确隐式近似因式分解差分格式、牛顿内迭代算法。对Euler方程采用有限体积法和双时间推进。
The nodal potential equation deduced from the generalized circuit may be expressed as follows: The augmented matrix of node potential equation of a generalized circuit is equal to the sum of all the part-matrixes of the circuit elements. 从广义电路上导出的节点电位方程可表述为:广义电路上节点电位方程的增广矩阵等于各单元电路的分矩阵之和;
In order to widen the scope of application of the equation, a thermodynamical enthalpy potential equation of the LHSS equation was derived according to the thermodynamical relation of universality of the enthalpy, and it has been used for calculating the process of adiabatic throttle. 为拓宽该方程的适用范围,文章从热焓的普适性热动力学关系出发,推导了该方程的热力学焓差方程式,并把它应用于绝热节流计算过程。
In this paper, a method for the transonic shock-free airfoil design, based on the full potential equation, using "fictitious gas" assumption, is presented. 本文采用全位势方程,在超音速区采用虚拟气体假设,给出了跨音速无激波翼型设计的一种方法。
Iterating it with the classical potential equation may solve the non-isentropic transonic flowfield conveniently. 与经典势函数方程迭代,可以方便地求解非等熵跨声速流动。
The alternating-direction characteristic finite element method is given. Electric potential equation is approximated by mixed finite element methods, electron and hole concentration are approximated by alternating-direction characteristic finite element method, temperature equation is approximated by the alternating-direction finite element method. 提出交替方向特征有限元方法,对电场位势方程采用混合元格式,对电子,空穴浓度方程采用交替方向特征有限元格式,对温度方程提出交替方向格式。
The inviscid flow is obtained by the numerical solution of fully potential equation. 跨声速无粘流用全速势方程模拟。
Then basing on the free-vortex equation, potential equation and stream function of flow are achieved by mathematical analyze, and solving these equations gives flow fields. 从自由涡运动方程出发,推导出管内流场的势函数和流函数方程,获得了管内流场的数学分析解;
Potential Equation for Transonic Steady Flow with Large Longitudinal Disturbance and Line Relaxation 跨音速纵向大扰动定常流的速势方程与线松弛
The flow solver is based on Reynolds averaged Navier Stokes equations which provide more accurate models of the flow field than previously employed full potential equation or Euler equations, so the reliability of optimization results is greatly enhanced. 粘性流场分析采用了雷数平均NS方程,这比过去翼型设计中使用的全速势方程或Euler方程更能模拟流动的本质,因而设计结果的可靠性大大提高了。
Computation of Compressible Flows past the Wing with Sideslip Using Full Potential Equation 用全位势方程计算侧滑机翼的跨声速绕流特性
The fully potential equation is chosen as the mathematical model. 选用全势方程作为数学模型。
Combined many years of field experiences, the paper discusses partition basis of fractured gas well at different flowing period and curves property, percolation characteristics and foundation of mathematical model and the method of potential evaluation to get practical gas well production potential equation for various flowing stages. 结合多年实际经验,就压裂气井不同流动阶段的划分依据和曲线特征、渗流特征及数学模型的建立完善及产能评价方法进行分析探讨,得到不同流动阶段的实用气井产能方程。
Two-layer flow of magnetic and non-magnetic fluids was simulated in two-dimensional Cartesian coordinate. The continuity equation, two momentum equations, the kinematic equation, and the magnetic potential equation were solved numerically. 采用二维笛卡儿坐标系,数值求解了磁性液体和非磁性液体体系的连续性方程、双动量方程、运动方程以及磁势方程,模拟了磁性液体-硅油的两层流动。
An integral equation method for solving the full potential equation which is described by Prandtl Glauert operator is developed for wing body combinations in transonic flows. 用积分方程方法求解Prandtl-Glauert算子表示的全位势方程,并计算了翼-身组合体跨音速绕流。
The wing is modeled structurally by vibrational modes, which are used as amplitude of motion by a finite element analysis. Conservative full-potential equation and three dimensional unsteady Euler equation are used to compute the unsteady transonic flows around airfoil and wings under simple harmonic motion. 以给定机翼模态分布下机翼上各点的模态值作为运动幅值,以三维非定常全位势方程和三维非定常Euler方程为控制方程,求解三维机翼简谐运动下的非定常气动力。
By contrast, the surface potential based model is more accurately characterize the transistor physical essence which can add new physical effects to model and surface potential equation. 相比之下,基于表面势的物理模型可不断加入新物理效应的表征,将各种物理效应直接引入表面势方程,这样模型能更加精确的描述器件的物理本质。