非数值计算

Based on depth averaged mathematic model of flow and pollutant tr ans portation in non orthogonal curvilinear coordinates , the k-ε double equat ions' turbulence model and the coupling arithmetic of velocity water depth are a dopted, which are applied to the numerical simulation of the flow and the contam ination diffusion transportation.

基于非正交曲线坐标下水流与污染物扩散输移的深度平均数学模型，采用k -ε双方程湍流模型和速度—水深耦合算法，应用于实验室连续弯道的水流及污染物扩散输移的数值模拟，分别计算了流场及岸边和中心污染物排放的浓度场，得到与实测值吻合良好的计算

The analyses show that the order of the general LMM may be reduced when the LMM is used to calculate piecewise smooth dynamics systems, and the precision of LMM is decreased.

分析表明，在计算非光滑的机械动力系统时，线性多步法类的数值积分方法出现降阶现象，计算精度会大大降低。

Comparing the unsteady flow fields obtained by CFD with the measurement results with SPIV, it can be found that the CFD results can capture the main characteristics of the flow fields observed in the experiment results, however, the precision of the CFD needs to be further improved, and to predict the detail flow structures, such as the tip leakage vortex in the compressor rotor, by CFD still has some difficulties, thus, some work should be done to improve the turbulence model for more accuracy prediction of the flow fields by CFD for the complex flow in turbomachinery.

定常计算结果和非定常计算结果都不能很好地反映出转子叶尖泄漏流，转子尾迹和泄漏流在静子通道中的演化，及其与静子的相互作用等复杂流动情况。开展叶轮机适用的湍流模型研究，对于提高叶轮机内部复杂流动数值模拟的准确性具有非常重要的价值。

Firstly, we collected and sorted out the GPS data, established the uniform velocity field for the Chinese mainland and the surrounding regions, and the horizontal deformation field relative to the Eurasia plate; Secondly, we established a motion model for the entire rotation and homogeneous strain of the first and second level blocks in Chinese mainland, analyzed the motion pattern and strain behavior of active blocks in Chinese mainland, as well as the motion pattern of principal fault zones in Chinese mainland; Thirdly, considering the heterogeneity of strain distribution inside a block and supposing that the strain tensor inside the block is the linear function of location, we derived and established an equation for the entire rotation and linear strain of block and a motion model for the entire rotation and linear strain of principal blocks in Chinese mainland; We also calculated the principal strain field and the maximum shear strain field in Chinese mainland and the surrounding regions, analyzed the basic characteristics of strain field in Chinese mainland, as well as the relationship between the spatial distribution of strain field and large tectonic zones; Finally, we established the 2-D geotectonic model and digital model for Chinese mainland and the surrounding regions, calculated the stress field in Chinese mainland and the surrounding regions, and analyzed the basic features of stress field in Chinese mainland and the principal driving force for the motion and deformation in Chinese mainland.

收集整理了已有GPS资料，建立了中国大陆及周边地区统一的速度场以及相对欧亚板块的水平形变场；建立了中国大陆一、二级地块整体旋转与均匀应变的运动模型；分析了中国大陆活动地块的运动状态，应变状态，以及中国大陆主要断裂带的运动状态；考虑到一个块体内部应变张量空间分布的非均匀性，假设块体内部的应变张量是位置的线性函数，推导建立了块体整体旋转与线性应变方程，建立了中国大陆主要地块整体旋转与线性应变的运动模型；计算了中国大陆及周边地区的主应变场与最大剪应变场，分析了中国大陆应变场的基本特征，以及应变场的空间分布与大型构造带的关系；建立了中国大陆及周边地区二维的地质构造模型和数值模型，计算了中国大陆及周边地区的应力场，分析了中国大陆应力场的基本特征以及中国大陆运动、形变的主要驱动力。

For the first patern, elastic dynamics is adopted to study the steady state rolling contact, elastic dynamics incorporating with rigid dynamics is adopted to study the non-steady state. For the steady state, the analytical solution is obtained, and for the non-steady state, the variational formulation to solve the problem numerically is derived For the later patern, the function type friction coefficient is introduced. On the basis of the quasi-stastic theories of constant friction coefficients, both the exact theory and the simplified theory of the function type friction coefficient are established, the computer programms for both the theories are also made out. Using the function type friction coefficient, Shen-Hedrick-Elkins theory's application range is extended to large creepage .

对于速度对接触体力学特性的影响，本文采用弹性动力学方法和弹性动力学与刚体动力学相结合的方法分别对稳态和非稳态两种情况进行了研究，得到了稳态情况的解析解，给出了对非稳态情况进行数值求解的变分公式；对于速度对相关物理量的影响，本文主要讨论了速度对摩擦系数的影响，在滚动接触准静态理论的基础上引进了函数型摩擦系数，建立了函数型摩擦系数的滚动接触准静态精确理论和简化理论，并分别编制了相关的计算程序，还用函数型摩擦系数将简便的Shen-Hedrick-Elkins理论的适用范围扩展到大蠕滑区。

It is proved that the dual time step algorithm is efficient in the simulation of unsteady flow with the prediction of vortex shedding over circular cylinders and shock buffeting over bicircular airfoils.

在非定常流动的数值模拟中引入隐式双重时间步方法，并对2种经典的非定常流动现象进行计算，取得令人满意的结果，证明双重时间步方法具有较好的精度和较快的收敛速度。

It is theoretically demonstrated that the influences of terrain height and orographic heterogeneity are important on the flux of surface long wave radiation over a large scale grid area.

摘要从理论和数值试验两个方面证明地形的非均匀性对网格区地面长波辐射通量的计算有重要影响，海拔高度场的区域平均值及其变差系数是影响网格区地面长波辐射通量的主要因素，仅仅用地表均匀假定下的区域平均参量（如平均海拔高度和平均温度）所计算的网格区地表有效辐射通量值与其真实值之间存在着一定的误差。

Based on forerunner's calculation of resistance pressure drop of two-phase flow, the paper utilized the method of combining horizontal straight tube resistance equation and crankled tube resistance equation to get the velocity of the two-phase flow and solid concentration,According to this thought, experiments were held to validate the idea if it can wok .

本文在应用前人关于管道气固两相流动阻力计算实践的基础上，利用直管段和弯管段的阻力压降计算式联立求解，得到管道内气固两相流的流速和固相浓度的计算式，在此基础上，进行了试验，通过在气固两相流试验台上试验及数值模拟计算，表明该法在线检测气固两相流固相浓度和流动速度是可行的，具有方法简单、非侵入、响应速度快等优点，具有很好的工程应用价值。

Based on the simulation of 3D unsteady muzzle brake flow field, computed the force given to the barrel while the powder flow through the muzzle brake, calculated the max backlash velocity, and lastly got the efficiency of muzzle brake.

该方法以带炮口制退器三维非定常流场的数值模拟为基础，通过计算火药气体流经制退器时火炮身管的受力，计算出身管在火药气体作用下的最大自由后坐速度，进而根据制退器效率的定义得到炮口制退器的效率。

According to the process of the mutual reaction of the population number at each energy level of the un-equilibrium mixed gases flowing in flow laser and the intensive emission reaching the stable oscillation, and the numerical simulated calculation results of the corresponding 3-dimensional distribution states, the simplified calculation formulae of the basic properties of the corresponding oscillator and amplifier are developed.

根据流动激光腔中流动的非平衡混合气体各能态布居数和强辐射相互作用达到稳定振荡的过程和相应的三维分布状态的数值模拟计算结果，发展了相应的振荡器和放大器基本特性的简化计算公式。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。