数值方程

By field and indoor test, the paper measures soil physical property, soilmoisture constant and soil water movement parameter, provides the soil specificgravity , the soil apparent density, the soil fraction, the soil field moisturecapacity, the soil saturated moisture capacity, the soil percent moisture content ofcom germination and seedlings emergence, the corn wilting point, and alsoestablishes the equation of soil water retention curves, the equation of soil waterdispersion coefficient and the relationship between pressure and soil apparentdensity, and so those provides the parameter for numerical simulation.

通过田间和室内试验，测定了供试土壤的物理性质、土壤水分常数和土壤水分运动参数，得到了该土样的比重、容重、机械组成、田间持水率、饱和含水率、玉米种子发芽出苗土壤含水率、玉米凋萎系数，给出了土壤水分特征曲线方程、土壤水分扩散系数方程及土壤容重与土壤压紧力的关系，提供了数值模拟过程中所需的参数。

Then,we study the equations and know that they\'re well-posed and smooth enough.

我们在第二章、第三章中会把得到的方程进行理论研究，解决了他们的正则性，这也为这类方程的数值模拟计算提供了理论基础。

The theoretical development of internal flow of turbomachinery is then summarized in terms of separation theory, vortex dynamics and flow pattern.

然后分别从分离流动理论、涡动力学和叶轮机械流型三个层次介绍叶轮机械内部流动理论的发展；从平面叶栅、环形叶栅、动态试验和试验技术等方面回顾叶轮机械试验研究进展；从控制方程、数值方法、网格生成等方面综述叶轮机械数值计算研究方法、研究内容及成果等，并概括改善叶轮机械气动性能的方法和现状。最后对叶轮机械内部流动研究进行展望。

Analysis of ship parametric rolling in head sea;2. A numerical simulation method based on ITTC recommendation was used to investigate the occurrence and magnitude of parametric rolling in longitudinal regular waves.

基于ITTC推荐的参数横摇运动方程，采用估算方法确定方程中的阻尼系数和复原力矩系数，数值模拟出船舶在规则波中的参数横摇情况，将上述方法具体应用于一艘滚装船船模的参数横摇预报，并与试验数据进行对比，验证了所采用方法的有效性。

Considerable progresses are made in terms of theoretical,experimental and numerical studies by using the shallow-water equation s.

滚波具有浅水长波的特征，因而利用一维浅水方程开展滚波问题的研究，取得了丰富的成果：如判定自由面稳定性的临界弗劳德数、演化方程的理论解及试验、数值研究等。

Results predicted by our model are compared to published data as well as results from Schred, a popular 1D numerical solver that solves the Poisson's and Schrdinger equations self-consistently.

将该模型计算结果与目前已发表的模型计算结果以及自洽求解一维泊松方程和薛定锷方程的数值模拟程序Schred的模拟结果进行了比较。

Results predicted by our model are compared to published data as well as results from Schred,a popular 1D numerical solver that solves the Poisson's and Schrodinger equations self-consistently.

将该模型计算结果与目前已发表的模型计算结果以及自洽求解一维泊松方程和薛定锷方程的数值模拟程序Schred的模拟结果进行了比较。

In NWFM,to solve self-consistently the set of DFT Kohn-Sham equations,nuclear weight function is employed for numerical solution of multicenter integra-tion,which decomposes the problem of three dimensional integration to a sum ofone-center,atomic-like integrations.

首先介绍如何利用线性组合的原子轨道方法求解密度泛函理论中的K-S方程；接着详细地说明了核权重函数的概念，并列出了两种常用的核权重函数形式，同时阐述了如何利用核权重函数求解包含多中心积分的矩阵元以及复杂的三维泊松方程以获得电子间库仑势的方法；然后给出了求解矩阵元、有效势以及体系总能的具体数值计算公式。

A quantum kinetic model based on two-dimensional (2D) non-equilibrium Green's functions solved self-consistently with Poisson's equations is developed to investigate the device behavior of nanoscale double-gate MOSFETs (metal-oxide-semiconductor field effect transistor).

采用一种量子动力学模型研究纳米MOSFET电流特性。该模型基于二维NEGF方程和Poisson方程自洽全量子数值解。

The thrust coefficients and propulsive efficiency of a two-dimensional flexible fin with heaving and pitching motion were computed using FLUENT. The effect of different locations of the pitching axis on propulsive performance was examined using three deflexion modes which are respectively, modified Bose mode, cantilever beam with uniformly distributed load and cantilever beam with non-uniformly distributed load.

利用FLUENT软件数值计算了二维柔性鳍作升沉纵摇运动时的推力系数及推进效率，探讨了修正Bose变形方程、均匀载荷和非均匀载荷悬臂梁变形方程等三种柔性模式下纵摇轴位置对摆动鳍推进性能的影响，其中纵摇轴在尾缘处能够获得更大的推力，而最高的推进效率分别对应修正Bose模式下纵摇轴距首缘1/3弦长处和悬臂梁柔性变形模型下纵摇轴距首缘2/3弦长处。

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。