数值方程

We first got the PML equations by making the radius complex, and then proved that the sesquilinear form in the weak formulation of the PML problem satisfies the Grding inequality under the hypothesis of the absorption factor, and further could prove the existence and uniqueness of the solutions of the PML problem, finally, we gave the numerical experiments which show that this method is feasible to a certain extent.

首先通过复化极径得到PML方程，然后在关于吸收参数的假设下，证明了PML问题变分形式中的半双线性形式满足Grding不等式，进而证明了PML问题解的存在惟一性，并给出了数值实验。实验结果表明，该方法有一定的可行性。

We first got the PML equationsby making the radius complex, and then proved that the sesquilinear form in the weak formulation of the PML problem satisfies the Garding inequality under the hypothesis of the absorption factor, and further could prove the existence and uniqueness of the solutions of the PML problem, finally, we gave the numerical experimentswhich show that this method is feasible to a certain extent.

首先通过复化极径得到PML方程，然后在关于吸收参数的假设下，证明了PML问题变分形式中的半双线性形式满足Garding不等式，进而证明了PML问题解的存在惟一性，并给出了数值实验。实验结果表明，该方法有一定的可行性。

To investigate the thermal protection effects of a heat sinking vest with phase-change material in high-temperature and high-humidity environment and the feasibility of numerical computation of heat transfer to the vest,based on the analysis of heat and mass transfer characteristic about the accouterments,a thermodynamic model was set up with the enthalpy method.

为了研究相变材料降温服在高温高湿条件下的热防护性能和相变材料数值计算方法应用于降温服传热计算的可行性，在分析服装传热传质特点及计算方法的基础上，利用焓值分析法对服装中的相变材料建立传热模型，在整个区域建立统一的能量方程，在区域结点进行离散，并进行隐式求解，得到焓的分布。

To investigate the thermal protection effects of a heat sinking vest with phase-change material in high-temperature and high-humidity environment and the feasibility of numerical computation of heat transfer to the vest, based on the analysis of heat and mass transfer characteristic about the accouterments, a thermodynamic model was set up with the enthalpy method. The uniform energy equation was constructed for the whole domain, and the implicit difference equation was used in every node, the distribution of enthalpy was solved by numerical method.

为了研究相变材料降温服在高温高湿条件下的热防护性能和相变材料数值计算方法应用于降温服传热计算的可行性，在分析服装传热传质特点及计算方法的基础上，利用焓值分析法对服装中的相变材料建立传热模型，在整个区域建立统一的能量方程，在区域结点进行离散，并进行隐式求解，得到焓的分布。

This program can be three-dimensional numerical simulation of acoustic wave equation, but only in homogeneous isotropic media.

详细说明：这个程序可以实现三维声波方程的数值模拟，但是只是在均匀各向同性介质中。

In pre-equilibrium fission fields, n＋~(238)U and p＋~(208)Pb reactions are studied by numerical solution of Smoluchowski equation, and their results can be extended to the fission reactions of those nuclei in actinium and sub-actinium family.

关于预平衡裂变，主要通过数值解Smoluchowski方程，对两个典型核反应n＋~(238)U和p＋~(208)pb的裂变过程进行了研究，并把结论推广到锕系核和重核的情况。

Based on the early works, the C program language and the least square method were used to obtain the thermal viscoplastic constitutive equation.A mechanical thermal coupled model was created and DEFORM-2D was used to analyze the thermal and mechanical parameters' changing during the process of adiabatic shearing.

我们在所作的前期工作及国内外的研究成果的基础上，应用C语言程序实现了最小二乘法拟合热一粘塑性本构方程中待定参数的求解过程；在此基础上应用DEFORM 2D 有限元分析系统对，Ti-6A1-4V绝热剪切过程中的热一力变化历史进行了分析；在数值模拟结果的基础上，进行了再结晶动力学的分析与计算。

In this paper a genetic algorithm four-dimension data assimilation system was applied to the more complex MM5 model, we verify the performance of the genetic algorithm assimilation system, we take the a heavy rainfall process during 04-05, July, 2003 as the experimental research object, and carry out data assimilation experiment of actual observation data, compare the experimental results of the genetic algorithm assimilation system and MM5 adjoint model assimilation system with the experimental results without assimilation, the following is the result:genetic algorithm assimilation system is used not only in a barotropic primitive equation but also in the complex model, MM5, for example, in the ideal experiment the result of the genetic algorithm assimilation system is better than the MM5 adjoint model assimilation system, in the assimilation experiment of actual observation data, whichever assimilation system is used, the initial field of numerical prediction model is effectively improved and the prediction effect of physical field and rainfall are somewhat enhanced.

本文将遗传算法的四维同化系统运用到更复杂的MM5模式中，在理想实验中验证遗传算法同化系统的性能，并以2003年7月4日"南京暴雨"作为研究对象，进行了实际观测资料的同化，并将遗传算法同化系统和MM5伴随模式同化系统得到的结果跟未同化的结果进行了比较，结果如下：遗传算法同化系统不仅可以用在正压原始方程模式上，同样也可以用在MM5等复杂模式上，理想实验证明了遗传算法同化系统优于MM5伴随同化系统，在实际观测资料同化中，采用两种方法的同化系统都能有效地改善数值预报模式的初始场，能在一定程度上提高物理量场和降水量的预报效果。

The followings are studied in this paper:(1) The orbit is evaluated according to a three-dimensional numerical model of the aerated water jet.

根据掺气水舌入水喷溅特性，建立了水滴在重力、浮力、空气阻力、水舌风及环境风的作用下的水滴随机运动的微分方程，给出了数值计算模型求解降雨强度的计算方法。

Two-equation turbulence model is used in numerical simulation for the side-air burner, compared with the practical measures and tests, good accordance achives. This method can bring great convenience in analyzing aerodynamical field of boiler. Secondly the method of XRD is used in analyzing the phase transformation in the course of dynamic slagging test, so we can describe the process of slagging comparatively accurately. Last this paper introduces a kind of fuzzy mathematics model which comprises an assemblage combined by seven change factor.

本文首先采用k—ε双方程模型对水煤浆侧边风燃烧器进行了数值模拟，并与实际锅炉燃烧器冷态调试试验结果对比，结果吻合较好，这为我们分析炉内空气动力场特性提供了参考；其次对锅炉结渣动态特性试验，采用XRD的分析方法，较为准确的描述了实际锅炉结渣的过程；最后为了准确的判断出水煤浆的结渣倾向，本文对锅炉结渣的七个影响因素提出了模糊综合判断模型，正确的反映出了该水煤浆的结渣倾向。

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