数值方法

For the convenience of numerical computation, a hydrid model of normal mode method and ray method is suggested which combines the advantages of both methods.

为了便于数值计算，论文结合简正波方法和射线方法的各自优点，提出了对远场噪声源的贡献采用简正波方法和对近源采用射线方法的混合模型。

Based on the equations, a new method for the geometrical design of hypoid gears is presented.

在这组方程的基础上，提出了一种几何设计的新方法，以大轮的节锥角和节圆半径以及小轮的螺旋角这三个参数为自由变量，以准双曲面齿轮副的偏置角为中间变量，用数值求解方法能够非常方便可靠地确定节锥的参数。

It is found thatthe fractal dimension D=1.25 corresponds to the lowest criticalcoupling constant αc=1.9,D=1.73 corresponds to the highest criticalratio of dielectric constants ηc=0.163,and when D≤1.145 bipolaronscan not exist at any rate.In chap,4,we will propose a novelapproach to the calculation of the exciton ground-state energy for thestrong-coupling case.Different from all previous methods,the wavefunction of the phonon part is assumed to take a form related to thewave function of the relative motion.We obtain the exciton energy bysolving the derived integrodifferential equation rather than select ahydrogen-like form to minimize the energy expectation.

结果发现，分数维的维数D＝1.25对应最小的临界的电-声耦合常数(αo＝1.9)，D＝1.73对应最大的临界的介电常数比(ηc＝0.163)，当分数维的维数D≤1.145时，双极化子无论如何也不可能存在，在第四章中，我们将提出一种新颖的变分方法来计算强耦合的激子-声子系统的基态能，不同于以前所有的方法，我们取声子的波函数与相对运动波函数有关的形式，而不是假定一个固定的关于相对运动坐标r的函数形式，得到相对运动波函数所满足的非线性的微分积分方程，我们数值求解这个微分积分方程得到系统基态能，而不是选择一个类氢原子的波函数变分使得能量的期待值最小。

A coupled viscous/inviscid method for calculating multi-element airfoil flows is developed, which gives better accuracy and convergence.

采用基于流线网格的欧拉/附面层耦合求解的方法，形成了一种求解多段翼型等复杂流动问题的数值计算方法。

In this paper, orthogonal tests were conducted to study cut-tomato preservation with short-time microwave treatment. It was found that the vacuum packaged cut-tomato only reached low temperature of pasteurization after short-time microwave treatment, but it could be preserved for a long time under normal atmospheric temperature. The optimal treatment parameters were determined. The parameters are solution contains 0.12%vitamin C and microwave treatment time is 54 s; The image processing of samples were carried out to get color histograms and corresponding color mean, and effects of the method were explained with certain value. Effects of package on tomato were analyzed; it was considered that cut-tomato would be packaged with lightproof package.

通过正交试验对切分西红柿进行了微波处理常温保鲜的试验研究，得出了真空包装的切分西红柿在微波短时处理后只达到巴氏杀菌的低温杀菌温度，却得到能长期贮存的品质优良的样品的结果；确定了这种方法的最佳处理参数，其最佳参数为0.12％维生素C处理时间为54 s；对样品进行图像处理，得到色彩直方图和色彩均值，用确切的数值说明保鲜方法的保鲜作用；分析包装对西红柿保鲜的影响作用，认为切分西红柿应采用避光包装保存。

By numerical modeling of liquefiable slope, it is validated that the coupled method can save computing time than the simple meshless method, and be able to achieve a reasonable accuracy.

通过对可液化边坡模型的数值模拟，验证了该方法比单纯的无网格方法节约计算时间，并能够达到合理的精度。

For some rock slopes, which have not distinct failure surface, but have complicated structure or load on the top and so on, a stability analysis of this type slopes by finite element method is presented, the failure surface is defined by certain rule or strain zone from the computed model, and then the safety factor of the rock slope is abtained by finite element method and limit equilibrium methodAt last, using ANSYS , a famous commercial finite element analysis software, a example of high-steep slope which is bearing the load of the LongGe Mansion is presented, the stability of this slope is studied, as a paradign the the stability evalution of complicated high-steep slope under the action of load of building , the chapter gives some meritable reference in stability assessment of rock slopes using numerical simulation by three-dimension elastic-plastic finite element.

并用有限单元法建立边坡的具体模型，应用折减边坡岩体参数、逐级施加荷载等与边坡工作环境相似的方法进行模拟计算，根据计算结果，采用一定的判别准则或图形可视化方法，确定出边坡的滑裂面，再采用刚体极限平衡法或有限单元法计算其安全系数；最后，通过某一工程实例，用大型有限元程序对边坡在建筑物荷载作用下的稳定性进行分析研究，并以此作为计算分析复杂高边坡在高层建筑物作用下的稳定性评价的一个范例，在采用有限元弹塑性数值模拟岩质边坡稳定性方面提供一些有价值的参考。

The numerical results show that our method is effective. For the noncharacteristic Cauchy problem for 2-D and 3-D heat equation, we give the explicit H\"{o}lder type stability estimates by using weighted energy method. Especially,H\"{o}lder type stability estimate for discrete solutions of the heat equation is obtained through a fully discrete method. The numerical results are presented.

对于二维和三维的热传导方程的非特征Cauchy 问题，我们利用权函数方法，给出了一个显式的H\&{o}lder 型的稳定性估计，特别的，对于二维的非特征Cauchy问题，我们利用充分离散的方法，对二维问题的离散形式同样给出了H\&{o}lder 型的稳定性估计，同时，我们也给出了数值例子来说明我们的估计。

The third chapter talked about two different treatments of quantum decoherence in V〓 system. For one the decoherence factor is been expressed in the form of a random external field. And the mean density matrix is calculated to signal the decoherence by showing its nondiagonal elements to approach to zero. In another numerical work done by us, random interaction between system and environment is imposed to mimic the decoherence factor.

第三章讨论了V〓体系中量子相干性研究的两个工作，一个用随机外场来代表消相干因素，采用对系统的密度矩阵进行随机平均的解析方法得到一些结果，一个是我们用数值计算方法的处理，其中消相干因素考虑成系统和环境的相互作用。

The multiresolution time-domain algorithm based on the scaling function of the Daubechies wavelet is introduced, and the perfectly matched layer absorbing boundary condition for the algorithm is deduced. In order to overcome the difficulties due to the nonlocalized property of the MRTD basis functions, the pure scattered-field formulation is adopted. The method presented is applied to the scattering analysis of multiple conducting objects, and the numerical results are compared with those by the traditional finite-difference time-domain method. It is shown that the computational resource is reduced drastically without sacrificing much accuracy.

对基于Daubechies小波尺度函数的时域多分辨分析算法进行了详细论述，推导了MRTD算法的完全匹配层吸收边界条件，为克服传统MRTD方法中基函数存在着非局部性的缺点，在源的加入上采用了纯散射场方法；并应用该算法对多目标的电磁散射特性进行了分析，数值结果表明，MRTD算法与传统的时域有限差分法结果相吻合，大大节约了计算资源。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。