查询词典 numerical system

A third order ENO finite volume method for hyperbolic conservation laws on unstructured triangular mesh is introduced.In order to obtain the third order accuracy on spatial discretization,a weighted quadratic interpolation is constructed on every triangular mesh.Two point Gauss quadrature formula is also used on each edge of every triangular mesh and the third order TVD Runge-Kutta method is used for time discretization.The numerical order of convergence and the numerical result of a mesh 3 wind tunnel with one step are given.

摘 要 基于双曲型守恒律方程，对非结构三角形网格给出了一种ENO(Essentially Nonoscillatory Scheme)型有限体积格式，方法的主要思想是先对每一个三角形单元构造一个加权的二次插值多项式，而在计算交界面的流通量时采用了两点高斯积分公式以保证格式的整体精度，时间离散采用三阶TVD Runge-Kutta方法。

Under the one-dimensional situation, it introduces mainly the Newton-Cotes formula, the Gaussian quadrature formula, the numerical integration rule of sharp oscillatory function, the numerical integration rule by the methods of sampling and so on.

在一维情形下，主要介绍了Newton-Cotes公式，Gauss型求积法则，急速振荡函数的数值积分法则，抽样法求数值积分的法则等。

With the knowledge of linear algebra, general formula for arbitrary order Taylor finite difference has been derived. In this paper, the analysis of spectral property and computational error of arbitrary order TFD is presented in detail. Then it is applied into the numerical solution of Maxwell's equations. Stability condition and numerical dispersion relation are derived.

本文借助于采样定理，详细分析了不同阶Taylor中心差分格式的谱特性以及计算误差，并将任意阶Taylor中心差分格式用于数值求解麦克斯韦方程中，严格导出了稳定性条件和数值色散关系的表达式，引入了新的误差定义来衡量算法的好坏。

This paper analyzes the characteristics of graphical solution method, analytical equation method and numerical method, then discusses finite element method and forward step method of the numerical method.

分析了图解法、解析法和数解法等水力解析方法各自的特点，并着重比较了有限元法和Hathoot前进法等数解法的优点和局限性。

Finally numerical examples with three shape functions are analyzed in detail. The numerical examples show that the modifying generalized moving least squares approximation has high accuracy not only for function value but also one or higher orders derivative.

最后，通过多个数值算例的计算比较了三种形函数的计算结果，结果显示本文提供的MGMLS方法关于函数值和各阶导数值都具有很高的精度。

To assess our numerical method, several cavitating flows over the hydrofoil were computed and the numerical results were compared with experimental results.

通过将半球圆柱的计算结果与实验数据和前人的计算结果进行对比，验证了所发展的数值方法的可靠性。

To provide theory foundation for inverted deduction work, numerical simulation for propagating in highway-surface with exceptional block and inanition and crack has been performed. The numerical simulation results show that the BEM is an effective method for the elastic-waves propagating in highway-surface concrete medium.

利用边界元法能够很好的描述弹性波在砼介质中传播的特性，正演模拟异常石块、脱空和裂缝对波的传播的影响，为进一步的反演工作提供理论依据。

The authors make basic research for the numerical calculation of cooling waters flow in the engines, on the bases of research results obtained with numerical method of incompressible fluid.

本文在作者已完成的不可压缩流体三维流动数值模拟研究的基础上，对发动机冷却水三维流动的数值模拟方法进行了基础性研究。

This paper develops a numerical simulation software for the numerical solutions of the three-dimensional incompressible viscous flows.

为较好地满足连续性条件的基础上得到光滑的压力解，对压力Poissom方程离散式采用了一种修正方法。

Numerical calculation of FEM and experimental investigations are used in the present research. The influence of loading condition and size of indenter on the tensile strength of rock has been investigated. The results obtained by numerical calculation and experiments show that tensile strength of rock will increase with the increase of indenter size.

通过有限元数值计算与理论分析相结合的方法，对不同载荷接触条件和接触面宽度角下的岩石抗拉强度进行了深入分析，结果表明，在圆弧形和平台加载条件下计算的岩石抗拉强度随载荷接触宽度角α的增大而增大。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。