数值方程

In terms of Navier-Stokes equations and LES model, the SIMPLEC algorithm with the body-fitted coordinate and tetrahedroid grid system is applied in the solution of the discretization governing equations.

本文基于N-S方程和大涡模拟模型，采用贴体坐标和四面体网格系统和SIMPLE算法，较准确地对混流式水轮机内部三维非稳定湍流流动及其尾水管内的旋涡压力脉动进行了数值模拟。

In terms of Navier-Stokes equations and LES model, the SIMPLEC algorithm with thebody-fitted coordinate and tetrahedroid grid system is applied in the solution of the discretization governing equations.

本文基于N-S方程和大涡模拟模型，采用贴体坐标和四面体网格系统和SIMPLE算法，较准确地对混流式水轮机内部三维非稳定湍流流动及其尾水管内的旋涡压力脉动进行了数值模拟。

Poincaré inequalities play an important role in the research of many fields such as in harmonic analysis and in theory and numerical method of differential equations.

Poincar 不等式在调和分析、微分方程理论及其数值方法等领域的研究中具有极其重要的作用。

It has the advantage of both the simplicity of the top-hat pdf model and reasonability of the clipped-Gaussian pdf model, and is used in the numerical simulation of Li /SF〓 gas-liquid submerged combustion.

以上述基本方程和多点δ-PDF模型为基础，在物理平面内实现了Li／SF〓气液浸没燃烧的单流体模型的数值模拟。

The differential phase shift changes as the change in the thickness of the ferrite phase shifter is calculatedwith the transcendental equation.

根据超越方程对单环非互易铁氧体移相器的差相移随铁氧体厚度的变化进行了数值计算。

A simplified numeric algorithm expression for solving transcendental equation of optical constants was obtained by analyzing the test principle of ellipsometer. A Microsoft Windows based calculating program for optical constants of thin films with "Solve Block" module of MathCAD by ellipsometer was developed. It can be used to calculate refractive index and thickness of thin films with little absorption or even no absorption as its feature.

通过对椭圆偏振仪测试原理的分析，得到求解薄膜光学常数超越方程的数值算法简化公式，并利用MathCAD的"Solve Block"模块开发了基于Windows系统的椭圆偏振测量薄膜光学常数的计算程序，该程序可用于单层有吸收薄膜或无吸收薄膜折射率和厚度的计算。

A simplified numeric algorithm expression for solving transcendental equation of optical constants was obtained by analyzing the test principle of ellipsometer. A Microsoft Windows based calculating program for optical constants of thin films with "Solve Block" module of MathCAD by ellipsometer was developed.

通过对椭圆偏振仪测试原理的分析，得到求解薄膜光学常数超越方程的数值算法简化公式，并利用MathCAD的"Solve Block"模块开发了基于Windows系统的椭圆偏振测量薄膜光学常数的计算程序，该程序可用于单层有吸收薄膜或无吸收薄膜折射率和厚度的计算。

On the basis of kinematics analysis and model transformation, an error equation of the robot kinematics parameter is established with numerical optimization, and the optimal design for kinematics parameter is realized, which effectively increases the repositioning precision of the robot.

在运动学分析和模型变换的基础上，运用数值优化技术建立了机器人运动学参数的误差方程，实现了运动学参数的优化设计，有效提高了机器人的重复定位精度。

The basic idea of the proposed method is : At first, to obtain the fundamental solution of the governing equation through variables transformation and make the anisotropy remain in the numerical scheme;Then to apply the MFS to solve the problems in both spatial and time domains directly.

该方法的基本思路是，先通过变量变换得到控制方程的基本解，使各向异性继续保留在数值格式中，然后用基本解方法直接在整个时间空间区域上对问题进行求解。

From the theory of phase transformation and thermal elastoplastic, and based on experimental data of laser quenching, a non linear coupling heat conduction equation considering phase transformation, temperature field and variable physical properties can be estabilished.

从相变理论和热弹塑性理论出发，并结合激光淬火实验资料，建立了考虑相变过程、温度场和变物性系数的非线性耦合热传导方程；建立了相变组织与材料性能的数值计算模型。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。