The present study focuses on some important aspects of LES technology. It includes review of LES development, fundamental theory and equations and numerical implementation. The procedure of LES consists of filtering Navier-Stokes equation, modeling subgrid scale, closuring the set of equations and solving the numerical equations.
本文对大涡模拟的研究集中在以下几个方面：首先回顾了大涡模拟技术发展的历程，它的理论基础与滤波方程组，以及它在CFD程序中的数值模拟实现：包括滤波NS方程，模化亚网格量，封闭滤波方程，求解滤波方程。
Navier-Stokes equation is used to describe the fluid flow in fracture-cave reservoirs, named as N-S model here, which is established via using filled karst cave digital model.
利用充填溶洞的数字模型，建立了以Navier-Stokes方程为控制方程的N-S模型，模拟溶洞内流体的流动，并将模拟结果同渗流模型进行了对比分析。
Firstly, based on the method of pressure-velocity coupling introduced by SIMPLE algorithm and a revised method of solving the unsteady equation of stream function and vorticity on uniform grid, a special algorithm called primitive-variable-time-dependent approach is formed in the present study. In this algorithm the Navier-Stokes equation in primitive variable form is solved by using the time-dependent approach on non-uniform staggered grid system. The second-order accuracy finite difference is used for the first and second partial derivatives of all variables of the convective terms and diffusion terms.
首先，本文在SIMPLE算法系列处理速度与压力耦合问题的思路和均匀网格下改进的关于流函数涡量方程的数值求解方法的基础上，将非定常原始变量Navier-Stokes方程的求解推广至非等距交错网格剖分，形成了具有本文特色的原始变量时间推进方法，其中对流项和扩散项中各变量的各阶导数均采用二阶精度公式，包括温度在内的离散方程组采用ADI迭代方法求解。
The main research of this paper is how to simulate complicated flow by using Navier- Stokes equation.
本文的主要工作是研究如何运用非结构网格对复杂流场进行Navier-Stokes方程计算。
The derivation of the Navier-Stokes equation from Lattice Boltzmann equation is given in detail in this thesis.
本文给出了从格子玻尔兹曼方程出发到Navier-Stokes 方程的详细推导。
The model consisted of the Poisson-Boltzmann equation, the Navier-Stokes equation, and the energy equation coupled through temperature.
建立微细圆管内电渗流动的非稳态数学模型，模型通过温度将电渗流的Poisson-Boltzmann方程、动量守恒和能量守恒方程耦合起来。
They are theory base of physical model and mathematical model. Secondly, we should start with Navier-Stokes equation and equation of continuity.
首先，通过丁坝回流理论和回流计算公式的探讨，分析丁坝回流产生的原因以及回流强度的影响因素，为物理模型和数学模型的建立提供理论基础。
In mathematics, it can be boiled down to two equivalent forms of a kind of classical solutions to the general Navier-Stokes Equation of velocity fluctuations.
从数学而言，这一框架的理论基础可归结为描述不可压缩脉动场的Navier-Stokes方程的两个等价形式。
In this paper, we introduce a simple and efficient second order numerical method to solve Poisson equation with jump conditions in two-dimension (2-D). We also apply the method to simulate Stokes and unsteady Navier-Stokes flow dynamics.
本论文介绍计算有不连续条件的二维Poisson方程的一个简单快速的数值方法，并应用本方法来解Stokes方程和Navier-Stokes方程。
Continuous media model was presented to describe the penetration of liquid metal through porous media based on revised Navier-Stokes equation.
利用计算机模拟研究了液态金属在多孔介质中的流动，提出了多孔介质的连续介质模型。
To keep oil between axle and shaft for hydrostatic bearing system under some load, simply Navier-Stokes equation was solved, appropriate pressure in oil cavity on condition of the load was carried out, and oil-film velocity field and pressure field were obtained used finite element method and ANSYS software and subroutine.
为使静压轴承系统在特定负载下能使轴与瓦之间保持液体摩擦状态，采用有限元法，借助ANSYS软件和编制的子程序求解了N-S方程的简化形式———雷诺方程，计算得出一定负载下保持液体摩擦状态所需的油腔供油压力、流场的速度分布、压力分布。
To solve this equation and momentum equation, the free surface can be captured directly.
第三，基于垂向直接分层的平面为结构化四边形网格剖分的处理技术，建立了自由面流动问题的三维Navier-Stokes方程的半隐式有限差分动压模型。
Based on the Navier-Stokes equation of compressible viscosity fluid and thek-εturbulence model, turbulent flow around a TR maglev train with a speed of 430 km/h was investigated using the finite volume method, and the pressure and velocity distributions of slipstream around the train were gained.
根据可压缩粘性流体Navier-Stokes方程和k-ε两方程湍流模型，采用有限容积法对以430 km/h运行的 TR磁浮列车的湍流外流场进行了数值计算，得到了列车上部、侧面和下部的列车风场特性。
We also give a theoretical result for the stream function form of the Navier-Stokes equation in unbounded domains.
我们还建立了流函数形式的Navier一Stokes方程在无穷带状区域中的一类始边值问题的谱格式，证明了该格式的稳定性和收敛性。
A numerical method, where the pressure is used as a primary dependent variable, is presented for the solution of the two-dimensional steady Navier-Stokes equation in general curvilinear coordinates.
本文采用了求解压力速度耦合的SIMPLE算法，以压力为主要求解变量对Navier-Stokes方程进行数值求解。
Based on the gas-lubricated theory and Navier-Stokes equation of viscous fluids theory, all static parameters of gaseous film formed by available compressed air in the static balancer and related functional relation are determined by the analysis of static character of gaseous film suspending ESG rotator.
通过对支撑静电陀螺仪转子的气膜静态特性进行分析，并根据气体润滑理论和粘性流体动力学中的Navier-Stokes方程，确定了转子静平衡器中工作压缩空气气膜的各项静态技术参数以及函数关系，为静平衡器的设计提供了理论依据。
Comments on the validity of using Navier-Stokes equation solver for PPCVD are also presented at the end of the thesis.
在本论文中也评论使用Navier-Stokes equation solver求解PPCVD制程的效度。
Just as with other plasma fluid models, there are drift–diffusion approximations for ions, the quasi-neutrality assumption for electrons movements, reduced Maxwell equations for electromagnetic fields, electron energy equations for electron temperatures and the Navier–Stokes equation for neutral background gas.
正如其他的等离子体流体模型所示，在本模型中用漂移扩散近似描述离子，对电子运动用准中性假设，用简化的Maxwell方程计算电磁场，用电子能量方程求解电子温度，用Navier-Stokes方程来描述中性背景气体。
According to Newton`s three laws of motion (notice: Do not use Euler equation and Navier-Stokes equation of fluid mechanics), we need a centripetal force to drive the electrons, protons and ions move circularly.
根据牛顿的三个运动定律（注意：不要用流体力学中的Euler 方程和Navier-Stokes方程），我们需要一个向心力来驱使电子，质子和离子作圆周运动。
The Reynolds-Averaged Navier-Stokes equation was applied for the simulation of 3D flow field in bell-like, shaft tubular and dustpan shaped suction box of large pumping stations. The standard k-s turbulence model based on the Boussinesq hypothesis and SIMPLEC algorithm were adopted in the calculation.
基于三维紊流数值模拟，以大型计算流体力学软件Fluent为平台，采用时均N-S方程和κ-ε流模型，运用SIMPLEC算法，数值模拟了钟形、竖井贯流和簸箕形进水流道的内流场。