欧拉方程

本文是在欧拉方程求解器的基础上，通过加入粘性（耗散）项，把流场的主控方程由欧拉方程（Euler）改为NS方程，然后引入两方程湍流模型，使其封闭。

The NS solver is developed from Euler equation code by adding viscous terms and two-equation turbulence models .

在非结构网格中用LUSGS隐式算法求解欧拉方程时，两个近似分解因子的项数可能相等，为平衡；

Solving the Euler equation with LU-SGS implicit algorithm on unstructured grids , mesh reordering will bring on imbalance .

三维欧拉方程的求解采用非结构网格有限体积伽辽金法（FiniteVolumeGalerkinMethod）。

The 3 D Euler equations are numerically resolved on unstructured grids using Finite Volume Galerkin Method .

由拉格朗日欧拉方程得到了θ（x，z）满足的微分方程。

The differential equation that is satisfied by θ( x , z ) is got by Euler-Lagrange equation .

欧拉方程间断Galerkin有限元方法初步研究

Pilot Study of Discontinuous Galerkin Methods for Euler Equations

求解多维欧拉方程的二阶非结构网格混合旋转Riemann求解器

A Second-order Hybrid Rotated Riemann Solver for Multi-dimensional Euler Equations on Unstructured Meshes

为了弥补托宾Q模型的不足，本文还采用了欧拉方程进行稳健性检验，即采用两个不同的投资模型来计算企业的非效率投资水平。

To compensate the shortage of Tobin Q Model , Euler Equation is used to conduct robustness examination . That is two different investment models are adapted to calculate companies ' non-efficient investment level .

文中第二章在概括性地予以评述之后，系统地介绍了SPH方法的基本原理，推导出欧拉方程的SPH形式。

In chapter two , SPH is comment ed synoptically , its fundamentals is reviewed , and SPH formulae of Euler Equations are derived .

在假设气相为无黏不可压的条件下，求解了体积平均后的欧拉方程，并利用离散单元法（DEM）模拟了颗粒间的碰撞及颗粒与壁面间的碰撞过程。

The gas phase was assumed as inviscid and incompressible , and the volume-averaged Eulerian equations were solved . The particle-particle and particle-wall collisions were modelled using the discrete element method ( DEM ) .

采用有限体积法和Harten推导出来的TVD（英文totalvariationdiminishing的简写，即总变差减少）格式求解轴对称欧拉方程的方法对隧道出口的微压波现象进行了模拟。

The finited volume method and a total variation diminishing ( TVD ) numerical scheme were used to solve the axisymmetric Euler equation , which was utilized to simulate the micro-pressure wave .

欧拉方程的微分算子级数解法四元数下欧拉方程实时R-K法求解误差分析

Analysis of the Error Result from Single Step of Runge-Kutta for the Euler Equation with Quaternion Method

本文基于线路积分原理，用LDV测量三维机翼周围的速度场，然后把它们作为已知量代入到雷诺方程、欧拉方程和贝努利方程中去求解压力。

The principle of pressure distribution calculation based on the measured velocity field along the path of integration is presented by RANS equation for a 3-D wing .

首先用D-H法对蛇形机器人进行运动学分析，然后利用牛顿-欧拉方程对蛇形机器人进行了动力学分析并建立其动力学模型。

We first make a kinematic analysis about the snake-like robot based on D-H algorithm , then made the dynamic analysis and modeling based on Newton-Euler equation .

利用Jameson有限体积法求解空间流场的欧拉方程，采用笛卡尔网格技术分别对2种气动外形进行了气动力对比仿真计算。

Jameson finite volume method is applied to solve the flow field of Euler sets of equations . An equally spaced Cartesian mesh structure is adopted to do the aerodynamic calculation .

其基本方法是，采用Euler法描述流体动力学方程，利用水平集方法捕捉多介质流的运动边界，通过高分辨率、高精度的总变差递减（TVD）格式求解欧拉方程。

In detail , the Level Set method is used to capture the interface and the high-resolution Total Variation Diminishing ( TVD ) is adopted to solve the Euler equations for inviscid and compressible fluid .

文[1]中给出了常系数非齐线性微分方程当f具有特殊形状的两类特解形式，本文根据其推导思想给出了两类欧拉方程的特解表达式。

In paper [ 1 ] author gave the expression of special solution for constant coefficient nonhomogeneous linear equation while the form of f is special . In this paper , we by this way give the expression of special solution for two kinds of Euler equation .

本文首先从Maxwell方程组出发，推导了表征二维平面光波导中光电磁波传输的欧拉方程，得到进行有限元分割后的离散化模型。

In chapter two , we derive the field distribution functions of two-dimension planar optical waveguides from Maxwell functions , and then receive the Euler function , this is the basis of the finite element method for the analysis of two-dimension optical waveguide .

SF6高压断路器开断过程中灭弧室内的吹弧气体是一种非定常，可压缩流动。这种流动是用抛物-双曲型N-S方程或欧拉方程来描述的。

During the breaking process of SF6 high voltage circuit breaker , the gas blast in arc quenching chamber is a kind of time dependent 、 compressible flow of fluid described by a parabola-hyperboloid type N-S or Euler equation set .

本文的主要目的是并行快速求解欧拉方程数值解，是以Schwarz并行算法为理论依据，通过信息传递对内边界单元赋值，以得到总体流场的数值解。

The present thesis solves Euler equations with quick parallel Computing methods on grids . Based on Schwarz parallel algorithms , Collectivity flow field numerical value solver can be gained via evaluating interface boundary cells by passing information .

将计算流体动力学（CFD）与反设计技术相结合，通过数值求解欧拉方程，对翼型绕流流场作出数值模拟，再用几何和流动控制方程，反复迭代求得满足给定流场的翼型。

An aerodynamic inverse design method is developed which couples computational fluid dynamics ( CFD ) with numerical optimization . Starting from an initial baseline configuration , an airfoil shape which satisfies the given pressure distribution is found by solving the geometric and flow control equations using the CFD .

把界面捕捉等效方程、Level-Set方程和欧拉方程组耦合，在Stiffened状态方程下，采用高分辨率NND格式求解流体力学方程组并用Level-Set函数捕捉界面的位置。

Combining the interface-capturing equivalent equations , the Level-Set equation with Euler equations , a simple interface-capturing approach , namely high order accurate NND scheme , is applied to simulate the interface of inviscid compressible multi-component flow .

最后以蜿蜒运动为例进行了建模与仿真。其次，论文利用D-H法和牛顿欧拉方程对蛇形机器人的空间运动进行了动力学和运动学的分析和建模。

Then we make the serpentine locomotion as an example to do the experiment and simulation . Secondly , we analyzed and modeled the snake-like robot locomotion in the space based on the D-H method and New-Euler equations .

采用有限体积法和TVD性质的差分格式相结合求解轴对称欧拉方程的方法对高速列车通过隧道时在隧道出口区域产生的微压波问题进行了数值研究。

The finited volume method and a total variation diminishing ( TVD ) numerical scheme were used to solve the axisymmetric Euler equation , which was utilized to simulate the Micro Pressure Wave discharged from the tunnel exit when a train entered a tunnel at high speed .

我们首先讨论没有耗散项的准地转方程，它来自于在准地转速度场假设条件下具有自由边界的欧拉方程的近似模型，被称为Hasegawa-Mima-Charney-Obukhov方程。同样它也可以产生于等离子理论中。

We first consider the quasigeostrophic equation with no dissipation term which was obtained as an asymptotic model from the Euler equations with free surface under a quasigeostrophic velocity field assumption , it is called Hasegawa-Mima-Charney-Obukhov equation which also arise from plasmas theory .

克服欧拉方程奇异性的方法研究

Research on methods for overcoming the singularity of the Euler equation

克服欧拉方程奇异性的双欧法

The dual Euler method for overcoming the singularity of Euler equation

拉格朗日动力学方程欧拉方程计算气动力时的粘性修正研究

The Viscous Correction Research During the Aerodynamics Calculation Via Euler Equation

求一类二阶非齐次欧拉方程的特解

Special Solutions to A Kind of Second Order Non-homogeneous Euler Equations

两类欧拉方程的特解表达式

The Expression of Special Solution for Two Kinds of Euler Equation

一种求解欧拉方程改进的通量分裂方法

A Kind of Improved Flux-Split Method for Solving the Euler Equations