数值方程

Numerical simulation of water injection into coal seam throughlong drill hole and determination of its reasonable parameters

用有限元数值模拟方法求解了煤层注水二维、三维非定常渗流方程，用该数值计算模型结合具体实例，主要分析了工艺参数中注水压力、时间和钻孔间距与湿润范围的动态变化关系，给出了选取合理的注水工艺参数的计算公式。

The power law scheme was used to calculate convective flux and diffusive flux,the over-relaxed correction approach was employed to calculate cross diffusion flux,and Rhie-Chow s momentum interpolation method along with SIMPLEC procedure was used to derive water level correction equation.

针对非结构网格下的潮流数值计算，采用有限体积法离散基本方程，对流-扩散项离散采用幂率格式，交叉扩散项引入超松弛校正方法，水位校正方程应用Rhie-Chow动量插值思想和SIMPLEC类算法导出。

According to the test results, the nonlinear creep equation of gypsum breccias is established based on genetic creep theory, which can describe the nonlinear and accelerated cr...

根据试验结果，按遗传蠕变理论建立了石膏角砾岩的非线性蠕变方程，该方程能描述石膏角砾岩的非线性及加速蠕变特性，通过回归分析，确定了蠕变参数数值。

The results show that the cavity can change the waves in combustors,and facilitate the mixing of hydrogen and air for easier combustion.

采用有限体积法求解可压缩N-S方程及组分方程，对三种不同结构的超声速燃烧室进行了数值研究。

The results achieved by the unsteady simulation on the basis of Reynolds averaged Navier-Stokes are fitted to the experiential wind profile well. The results indicate that the numerical simulation based on CFD provides a new solution to study the downburst wind characteristics under the current conditions without detailed full scale data.

数值结果表明，基于雷诺平均的Navier-Stokes方程进行的非定常数值模拟结果同根据实测数据提出的三种经验风剖面吻合良好，在目前实测资料稀少的情况下，有助于更好地研究下击暴流风的基本特征。

New factorized quasi-Newton equation not only uses the gradient information of the objection function ,but also uses the function information .

本文利用二次函数近似梯度的方法构造新分解拟牛顿方程，不仅利用到了目标函数的梯度信息，而且用到了目标函数值的信息，比传统的分解拟牛顿方程具有更高的二阶曲率逼近。

The flow-field around a hemisphere and a flat-nosed cylinder in the shock tube is simulated numerically by using non-equilibrium Navier-Stokes equations with an air chemical model of 5 species 17 reactions, and the catalytic rate constant of surface materials such as Pt, SIC:, Ni and a flight vehicle materials is determined by using the heat transfer rate of testing in the shock tube and the distribution of heat transfer rate along with the catalytic rate constants.

用5组分17个化学反应Durm-Kang空气化学模型和轴对称热化学非平衡Navier-Stokes方程，对激波管中球头和平头圆柱模型绕流流场进行了数值模拟，给出了驻点热流随催化速率常数变化的分布，并根据激波管实验测量的热流值确定了表面材料Pt、SiO2、Ni和某种飞船材料的催化速率常数，建立了数值分析高焓流动边界层催化特性的软件。

Based on the theoretical model coupling Maxwells equation with the rate equation of 4 level inverted population, the numerical simulation is made via the FDTD method and MATLAB programs. The simulation results show that 1. With the increase of the pumping rate, both the localization of the electric field and the spectrum mode numbers will change; 2. The lasing threshold decreases by increasing the size or concentration of the scatters; 3. The lasing threshold also decreases by increasing the size of samples or strengthening the sample randomness.

在理论和实验研究的基础上，利用麦克斯韦方程与四能级反转粒子数的速率方程相耦合的理论模型，采用时域有限差分方法和MATLAB程序对随机激光泵浦阈值特性进行了数值模拟与计算，模拟结果显示：随着泵浦速率的增大，出现了阈值前后电场强度局域态及频谱模式数的改变；随着散射体粒径的增大，浓度的增大，阈值呈现下降的趋势；随着样品长度的增大，随机强度的增强，阈值也呈现下降的趋势。

In the background of numerical simulation for the transonic flow about advanced transport aircraft with wing-mounted nacelles, great efforts have been made in this thesis for the improvement of the grid generation technique and the numerical methods for solving the Euler equations.

本文以民用飞机复杂外形跨音速绕流数值模拟及气动力分析为应用背景，在复杂空气动力外形网格生成技术，Euler方程数值求解方法的改进。。。

With wave equation, we performed crosswell wavefield modeling. Velocity model is constructed from two sonic logs. It is readily distinguished the different characteristics of timeversusdistance for direct, upgoing, and downgoing waves on the resulted section.

利用声波方程建立井间波场数值模拟计算公式，选取一对实际井的声波测井资料建立了速度模型，进行井间数值模拟，得到了合成记录，对记录波场进行分析，能够清楚地观察到上，下行反射波和直达波的时距特征。

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。