查询词典 numerical algorithm

It firstly did numerical simulation towards pulsed liquid jet pump's throat pipe when it was working on different area ratio, different length of throat pipe, different working situation. Then it analyzed and proposed the optimization length of throat pipe on pulsed liquid jet pump; In chapter 5, it did experimental study on the fundamental performance of steady and pulsed liquid jet pump, then compared the experiment result with numerical simulation result, this approximately agreed with each other.

首次对脉冲液体射流泵在不同面积比、不同喉管长、不同工况下的喉管内部流场进行了数值模拟，分析提出了脉冲液体射流泵的最优喉管长度范围；第五章对恒定、脉冲液体射流泵的基本性能进行了试验研究，对比试验结果和数值模拟结果，二者吻合较好。

The experimental results are basically identical with that of numerical solutions, which confirms that the numerical model for the helical gear EHL problem is reasonable and reliable.

这也说明本文所建立的斜齿轮弹流润滑数值分析模型的合理性。

In recent years, numerical simulation technology has been widely used to analyze problems of wrinkle, fracture, et al. during the forming of sheet metals, which lays foundations for obtaining FLD via numerical simulation.

近年来板材成形中开始广泛使用数值模拟技术来分析板材成形中的起皱、破裂等问题，为数值模拟获得成形极限图奠定了基础。

Therefore, the essence of the numerical modeling of geology structural deformation is to adopt the wellestablished numerical methods of multidisciplinary acknowledge including mathematics, physics and mechanics to solve the relevant geological problems scientifically.

因而，地质构造变形数值模拟是采用数学物理方法对相关地质学问题的科学描述，并采用理论分析和数值模拟实验方法，对所描述的相关地质学过程进行定量化求解。

Validating the numerical model for thermoelectric cooler established in theory research by comparing the numerical results with the experimental data and pointing out that Thomson effect must be taken into account in multi-stage TEC.

将实验得到的数据和理论计算数据进行了比较分析，验证了理论分析中建立的半导体制冷系统传热模型和得到的理论计算公式的正确性，同时指出：在半导体多级制冷中，汤姆孙效应是必须要考虑的。

This paper reviews and summarizes the progress in this field as follows: the mathematical model and the difficulty of the analytical solutions is introduced; discusses the latest progress of the numerical solutions is discussed; the finite difference method, the Godunov method, the Boltzmann method, and the KFVS method of one-dimensional dam-break problem are introduced; the TVD method, the discontinuous finite element method, the finite volume method and characteristic method of two-dimensional dam-break problem are discussed; the applicability, the advantage and the disadvantage of each method are analyzed; and the progress in the numerical calculations of flow of fluid with free surface are presented.

回顾和总结了国内外对溃坝水流演进问题的研究进展：介绍了溃坝水流的数学模型及解析解法存在的困难，进而讨论了数值解法的最新进展；论述了求解溃坝水流一维问题的有限差分法、近似黎曼解的Godunov格式法、Boltzmann法、KFVS法和二维问题的TVD格式法、间断有限元法、有限体积法、特征线法，并分析了各种方法的适用范围和优缺点，及讨论了限制函数的使用；介绍了利用自由水面追踪方法计算溃坝水流的研究进展，并根据目前存在的不足和实际工程的需要，提出了进一步研究的方向和发展趋势。

The numerical algorithm based on theories of projecting and Laguerre,such as homology,circular points and ω of absolute conic is established,an iterative elimination method is applied to boost the nonlinear problem solving.

通过调和射影及Laguerre定理的推论求解出平面圆环点的共轭虚像，利用平行六面体照片存在的三对圆环点的虚像，构造对无穷远平面绝对二次曲线的像ω的约束，使用辗转相除法求解非线性问题。

Experimental results in TiGems7.0 illustrate that this algorithm is independent of the numerical error accumulated in intersection computation, and can implement the data exchange of IGES B-rep model built by different CAD systems such as SolidWorks and Pro/E.

在TiGems7.0系统中的实验结果表明，该算法不依赖于求交运算中造成的数值误差，具有较好的鲁棒性，能够实现IGES的边界表示格式在SolidWorks，Pro/E等系统中的数据交换功能。

A novel direction of arrival and polarization estimation of electromagnetic vector sensors mounted on the airframe is proposed based on biquaternion. The signal processing model for EM-sensor mounted on the airframe is made by biquaternion and then the eigenvalue decomposition of spectral matrix is obtained by means of the EVD of its quaternion adjoint matrix. The memory requirement for data is reduced, and more accurate estimation result is gotten by deducing the stronger orthogonality constraint between the sin- gal and noise subspaces on the field of biquaternion. The performance of the new algorithm is confirmed through numerical examples.

针对机载电磁矢量传感器阵列DOA和极化参数估计问题，提出了一种基于复四元数估计方法，该算法利用四元数建立机载电磁矢量传感器阵列信号处理模型，然后利用四元数联合矩阵的特征分解得到阵列数据相关矩阵的特征分解，一方面使得计算过程中数据的贮存量大大减少，另一方面通过推导得到信号子空间和噪声子空间在四元数域上的正交性从而使DOA和极化参数佑计的精度更高，仿真证实了本算法的有效性。

The finite difference is used to approximate differential operation; the reflectance map equation described by the first order nonlinear differential equation is transformed into an algebraic equation about the unknown surface heights, and then the objective equation is constructed by the reflectance map equation and gradient information of image. Moreover, the Newton iterative algorithm is utilized to obtain the numerical solution and 3D shape of the surface.

采用有限差分近似微分运算，将一阶非线性微分方程所描述的反射图方程转化为关于未知表面高度的代数方程，再由反射图方程和图像梯度信息构造目标方程，进而用Newton迭代算法求出该方程的数值解，得到表面三维形状。

A backer of an Afghan law that critics say legalizes marital rape has rejected the international outcry as foreign meddling.

饱受批评的一项法律的拥护者说合法化的婚内暴力不会受国际舆论的干涉。

Years ago, a ancient Egyptian fleet went to the Land of punt for seeking a kind of flavor named "myrrh", and aromatic plants which has dense exotic style for the queen Hatshepsut.

3500年前的一个古埃及的舰队到&彭特之地&寻找一种叫没药的香料。