数值计算

The theoretical and computational results show that an important reason resulting in eccentric wear of the inner cylinder and the pumping rod lies in the nonuniformity of the stress distribution on the outwall of the inner cylinder which yields excentralization effect of the pumping rod when swabbing fluid flows in eccentric annuli with the pumping rod moving axially in a well.

在实验上，通过不同重量百分比浓度的HPAM水溶液在内管做轴向往复运动的偏心环空中非定常流实验，把由理论公式算得的时间平均流量与实验中测得的时间平均流量做了比较，验证了本文数值计算幂律流体在内管做轴向往复运动的偏心环空中非定常流方法的正确性；上述的理论与计算表明，抽油机井杆管偏磨的一个重要原因是，在聚驱工况下，抽汲液体在抽油杆做轴向运动的井筒中流动时，抽汲液体作用在抽油杆外壁上的压力分布的不均匀性所引起的抽油杆在井筒中的偏心效应。

When we use boundary element method to solve problems of fluid structure interaction, large amount of calculation of Green's function and its partial derivative is required.

Green函数及其偏导数的数值计算在水动力学中起着重要作用，当用边界元法求解流体结构相互作用问题时，需要大量的计算Green函数及其偏导数。

In consideration of the characters of solar radiant energy and inside structure of cars, obtains the optical parameters of window glazing and the interior materials by means of the electron multiplier phototube and colorimeter and theoretical analyses.

考虑太阳辐射和空调轿车车室结构的特点，采用光电倍增管和色度仪等实验手段，推导出车窗玻璃和结构材料的光学性能。采用蒙特卡罗法研究进入车室内的太阳辐射能量的再分配，即吸收、反射和透射等物理过程，编写了通用的计算软件，并以实际轿车空调车室模型作了数值计算。

The assumption of the variable tendency of slip-line in active zone is made based on the numerical results. Combining the slip-line equations and boundaries, the formula of bearing capacity is deduced which can consider the density of soil. The formula of bearing capacity of strip footing on ponderable soil is also deduced assuming that the slip-line field of ponderable soil is the same with that of weightless soil, which is proved to be an upper-limit solution, as its the same with that deduced by the upper-limit method in Prandtl mechanism.

在数值计算结果的基础上，对有重土地基主动区滑移线变化趋势进行了合理假设，根据边界条件和特征线方程求得了条形基础极限承载力的解析表达式，该表达式可以计算考虑土重度的条形基础的极限承载力；获得了不考虑重度对滑移线场影响时(即有重土在普朗特尔滑移线场下)极限承载力的解析表达式，该表达式与普朗特尔机动场对应的极限承载力上限解的表达式相同，这就从理论上证明了在土重度对滑移线场没有影响这一假定前提下得到的极限承载力是一个上限；(3)利用上限定理求解了极限承载力的最小上限。

In the numerical calculation of the tunneling transmission probability we adopt the multistep approximation to approximate the whole potential barrier.

在电子穿隧机率的数值计算上，使用多阶近似的方式成就整个位能障的穿隧机率之计算。

A Study on Fraunhofer Double-Slit Diffraction by Applying Simulation Technology;2. Based on Kirchhoffs theory,the approximate intensity formulas of double-slit diffraction of Gaussian Beam is derived under paraxial approximation with power series expansion methods.

依据基尔霍夫衍射理论，利用幂级数展开的方法推导出旁轴条件下高斯光束双缝衍射的近似光强计算公式，并通过数值计算对双缝衍射的基本特性进行了讨论，得出了与其他文献一致的结论，得出了高斯光束下的双缝衍射极小值点比平行光束双缝衍射的极小值点向外移，观察屏中心光能变小；光强分布可由激光斑在衍射屏处的参数调制的结论。

As a test problem, the steady flow fields and hydrodynamic forces of a 6:1 prolate ellipsoid at different incidence angle are computed. Computed results including surface pressure coefficient, surface friction coefficient, and body hydrodynamic coefficients, are compared with experimental and numerical ones of published papers, the agreement is satisfactory.

作为算例之一，给出了6：1椭球体在不同攻角下定常流场和水动力的数值计算结果，包括物体表面的压强系数、切应力系数的分布及物体所受升力系数、阻力系数和力矩系数随攻角的变化规律，并与国外文献的计算和实验结果进行了比较，符合程度令人满意。

Highly precise quadra order non-linear formula is set up, which gives the satisfactory density value of highly pure aluminum (99.999~99.99999 %) at 20 oC.Linear approximate formula for the density calculation of 99.75% primary aluminum (molten point in the range of 658.7℃～1100℃) derived f...

以Jagrangian插值的二次多项式和一次多项式导出的 99.75 %原铝(熔点 6 5 8.7℃～ 1 1 0 0℃)的密度计算的线性近似式、该式子较文献〔1〕所述的还要简单，而数值计算结果却高度吻合。

Numerical calculation of the specific roots of the quadratic equation, this is more important for engineering calculations.

详细说明：数值计算中的二次方程求根具体程序，这对于工程计算比较重要。

When both the foimulas obtained in this paperand Atabek's formulas are reduced to the representation of developed flows,both of them areco...

数值计算还表明，本文公式的理论结果无论是和Atabek等人的理论计算结果比较，还是和他们的实验结果比较，都是相当一致的。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新