查询词典 nine point finite difference scheme

According to the computational stability analysis conducted to the linear term time difference scheme in simple harmonic motion equation, one new semi-implicit integration scheme also is designed. By adopting a kind of revised time-explicitdifference scheme to these linear terms still included in spectral model governing equations, this defect of spectral model only partly used in semi-implicit integrating scheme, can be overcome to some degree.

以简谐振动方程中线性项时间差分格式对其计算稳定性影响为理论依据，本文设计了一种新谱模式半隐式时间积分方案，此方案通过对一般谱模式求解框架中那些隐含的线性项采用了一种显式修正的差分格式，可有效克服其国际谱模式半隐式时间求积方案实质上只是部分应用了半隐式差分格式的问题。

The existing points and lines would form a closed geometric shape. If we put the new point Z outside the closed geometric shape at first and later then found that the point Z has neighboring relationship with the existing point A which is inside the closed geometric shape, we could not link point Z and A directly because that would bring line crossing. If we rearrange the point Z into the closed geometric shape, that also would cause a lot of work to do. With the help of Exclave, all problems could be solved easily. We use point X outside the closed geometric shape as the Exclave of the point A. Then the line between point Z and X could demonstrate the neighboring relationship of the point Z and A.

原有的各点和相邻线段往往会形成一个封闭的几何图形，如果我们把新增点 Z 设在原有的封闭几何图形外部，后来又发现该点 Z 和位于封闭几何图形内部的点 A 存在相邻关系，这时不能直接将两点连接因为那将产生交叉，而如果将点 Z 重新设在封闭图形内部也将导致大量的调整工作；此时借助外飞地的概念，可以轻松地解决上述问题，即在封闭几何图形外部设置点 X 作为点 A 的外飞地，两点使用同样的颜色，用点 Z 和点 X 的相邻线段表示点 Z 和点 A 之间的相邻关系。

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Through examining and analyzing of the crack in corbel of bridge of Dangtu road in Hefei, a strengthening scheme to paste the steel plate is put forward. The theory of non-linear finite is adopted to analyze the scheme with three dimensional finite element. The result of stress at the crack point which has been reinforced is also made clear.

通过对合肥市当涂路桥牛腿裂缝诊断分析，提出外贴钢片的加固方案，并基于非线性有限元法基本理论，对加固方案进行三维数值分析，给出了片材加固后的牛腿裂纹尖端应力的效果分析。

The plane adopts the joint method of both the finite element and the finite difference to divide plane domain by means of irregular triangular net in order to fit topography and coastal line complicated sea zone; Vertical application σcoordinate conversion and the finite difference method.

平面采用有限元法和有限差分法相结合的方法，用不规则三角形网格剖分计算域，以适应地形和岸线复杂的海区；垂向应用σ-坐标变换及有限差分法。

Within this context, four specific areas are addressed:(1) By means of finite integration technique, a new kind of the first order partial difference equation is derived from the original disperse transmission line equation of the uniform waveguide's. As it is the kind of one dimension Dirichlet's boundary problem, it is convenient for us to solve this equation from the leapfrog scheme. Because computation is carried out in one dimension, both high calculation efficiency and precision have been obtained in this method. Meanwhile, this method provide us a different selection to simulate the transient response of waveguide with non-simplical, for examples cylinder and elliptic waveguide, and avoid solving the second order equation, or using finite difference time domain to simulate a three dimension problem, sometimes the latter precision is not satisfied with the need, or low efficiency.

在这一研究内容下，主要研究四个方面的问题：(1)在完成金属波导传输线方程时域形式的基础之上，应用有限积分技术，把波导特征模式的色散传输线方程，化简为一组新的一阶偏微分方程组，该边值问题属一维Dirichlet边值问题，从而便于用蛙跳格式求解，由于是在一维中计算，该方法具有很高计算效率和精度，从而避免了以往为得到金属波导中特征模的时域响应特性，须要求解二阶方程，或用时域有限差分方法求解三维问题的方法，对于后者来说，计算有时是不准确的，或是很耗时的例如计算诸如圆波导、椭圆波导等其它复杂形状的波导。

But the finite difference methods require that the computational domain is regular, and usually people construct the finite difference scheme for one dimension and then extend it to two or three dimensions in a dimension by dimension fashion.

有限差分方法要求计算区域比较规则，随着工程问题的复杂化，计算区域也变得复杂，这对数值方法提出了新的挑战。

It is shown that in Jameson's algorithm is not an orthogonal stream-lines coordinate system, but a local stream-lines coordinate system instead. Nevetheless, because of the finite-difference discretization in Jameson's scheme is not carried out along the direction of s and n, but along the Cartesian coordinates, the analysis on all terms of the full potential equation in Cartesian coordinates reveals that his scheme does take a back-ward difference along the streamwise exactly at all points in the supersonic flow region.

表明其所采用的坐标系不是真正的正交流线坐标系，而是局部流线坐标系；同时由于Jameson方法并不对s，n进行差分离散，而是在原笛卡尔坐标系下作差分离散，对笛卡尔坐标系下的全位势方程中的各项的分析表明，Jameson方法恰好能做到在超音速点沿真正的流线方向作后差分。

The results showed:among the 7 isolates, five isolates of HY3、GY1－3、ZJ1－1、HP1、FC3 had same colony shape, irregular shape, liquidlike, slimy, opacity with smooth surface;the other two isolates had same shape, irregular shape, dry, opacity with coarse surface. By inoculating eucalyptus with the 7 isolates, the plants were infected apparently, and the young plants of eucalyptus in control experiment with tap water were not infected. By cultivating eucalyptus cuttings with the bacterial suspensions without EPS, the incidence of disease was very distinct,but compared with the former bacteria suspension,the incidence of disease has decreased at different degrees. By screening out two isolates of strong pathogenicity and two isolates of weak pathogenicity from the 7 isolates,making the bacterial suspensions with them to inoculate the young plants of eucalyptus, two treatments of cutlings and ramets with rats were set with 5 repetitions in every treatment, the results of data analysis showed: for the cutlings, the bacterial contents in upper and middle parts、upper and lower had significant difference;for ramets with roots, the bacterial contents in upper, middle parts, lower had significant difference between each other; For both the cutlings and ramets with roof, the bacterial contents in xylem and phloem had significant difference. The interaction between vertical and horizontal parts for the bacterial content had significant difference. For the two isolates of HY3 and 93B which were screened out at last,their activities of the cellulase were: 1.955ug/ and 1.288ug/ respectively, and had significant difference; the activities of pectase were: 1.325 ug/and 1.24ug/ respectively, and had no significant difference. The content of EPS extracted from the two isolates of HY3 and 93B was very different: 7.08x10-8ug/cell and 5.17x10-8ug/cell.

结果显示：7个菌株中，其中5个菌株HY3、GY1－3、ZJ1－1、HP1、FC3的菌落形态相同：不规则形状、流体、粘性、不透明、表面光滑；另外2个菌株93B、GN1菌落形态相同：不规则形状、干燥、不透明、表面粗糙；用7个菌株接种剪根桉树苗，发病情况非常明显，而自来水对照实验中桉树苗却不发病；无EPS菌悬液培养桉树剪根苗，发病率也很明显，但是相比原菌液，则发病率有不同程度的下降；从7个菌株中间筛选出来2个强致病性菌株和2个弱致病性菌株，用它们配制菌悬液培养桉树苗，设置剪根和不剪根两个处理，每个处理设置五个重复，数据分析结果显示：对于剪根苗，上部和中部、上部和下部的含菌量有显著的差异，中部和下部含菌量差异不显著；带根苗，上部、中部、下部含菌量彼此之间差异显著；不管是剪根苗还是带根苗，木质部和韧皮部含菌量之间的差异都非常显著；上中下与木韧交互作用中，含菌量差异非常显著；最后筛选出来的强弱2个菌株HY3和93B，它们的纤维素酶活性分别为：1.955ug/和1.288ug/，具有显著的差别；果胶酶的活性分别为：1.325 ug/和1.24ug/，没有显著的差别，而且HY3和93B两个菌株细胞分泌的胞外多糖的含量差异很显著，分别为：7.08×10-8ug/cell和5.17×10-8ug/cell。

We examine the super compact symmetric finite difference scheme and compare it with traditional difference methods and compact difference methods.

0引言在流体动力学领域，很多物理现象，如湍流，其空间和时间的尺度变化剧烈，要正确模拟这类问题需要高精度方法。

I want to be a big fish in a small pond.

我要做一条在小池塘里的大鱼。

While the software functioned well, we did not feel the same about their customer support!

虽然该软件运行良好，我们没有同样的感觉他们的客户支持！