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数值技术

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The unique advantage of this halfanalytical numerical method is that the analytical process of Conformal Mapping can transform an irregular area into a regular one such as a rectangle. Therefore, the discretization error of numerical methods on the boundary can be avoided, and the numerical algorithm can be implemented more easily, with the computing efficiency improved.

这种保角变换的半解析数值方法的突出优点是:利用前期的保角变换解析处理将不规则的场域转化为规则的矩形域,从而避免了纯数值技术对复杂边界的离散化误差,降低了后期数值计算的算法复杂度,并提高了计算效率。

Based on application of 3D body-fitted numerical grid with a curvilinear coordinates system and the theories about turbulent flow and the laminar flow, the new techniques that the independent variables were expressed by co-variable velocities were applied to solve the problems about flow around a high-speed car body for the first time.

采用当今数值新技术,较为全面和深入地研究了高速汽车车身绕流问题。本文依据k-ε双方程湍流模型和附面层理论,采用先进的曲线坐标系下的贴体与边界正交数值网格技术,首次把以协变速度分量作为独立变量的数值技术运用于汽车车身绕流问题的求解。

As a new technique, the manifold method, proposed by Genhua, Shi in 1990s is based on the concept of topology manifold and differential manifold in mathematics.

其中尤以数值流形方法最为突出,以其新颖的数值思想、先进的数值技术得到了学术界的广泛关注。

The main objective of this dissertation was to develop methodologies with capability of engineering application for simulating flow in fractured rock using discontinuum models. The study work includes three parts. In the first part, numerical methodology of three-dimensional discrete fracture network model casing on hybrid BEM-channel was presented, and the technique for improve the model's computing efficiency was also studied. Firstly in this part, computer simulation methodology based on the Baechermodel for generating network of discrete fractures was presented, which includes the follow details: probability distributions of fracture density,orientation, trace length, size, and aperture and estimation of their statistical parameters; stochastic models of fracture network; Monte-Carlo's simulation method; numerical simulation procedure and technicality.

给出了离散裂隙网络模型所依据的基本假定;发展了基于Baecher模型的离散裂隙网络计算机随机生成技术:详细地推导了单裂隙渗流和多裂隙相交网络渗流的边界单元法公式,发展了离散裂隙网络中稳态渗流的边界元数值技术,并且讨论了相关的具体数值技术细节,如角点的处理方法,单元的自动剖分等:描述了混合边界元—管流模拟方法及其数值实现;研究了裂隙网络的简化方法,并针对裂隙网络边界元法的特点提出了一种改进的分块三角分解法。

The analytic expressions for the displacement components and stresses at any point of an infinite micropolar orthotropic elastic medium with an overlying elastic half space as a result of moving inclined load of arbitrary orientation were obtained.

在无限大微极正交各向异性弹性介质上覆盖弹性介质的弹性半空间的任意点上,作用着任意方向倾斜的移动荷载,给出了位移分量和应力的解析表达式·假设倾斜荷载是法向荷载和切向荷载的线性组合·利用Fourier变换采用特征值方法,并利用数值技术反演了Fourier变换·给出了铝环氧树脂复合材料的数值结果图形

Discontinuous deformation analysis method is a newly developed numerical method that can be used to perform deformation analysis of jointed rock mass.

非连续变形分析方法是近年来发展起来用于分析裂隙岩体的一种较好的数值计算,其以新颖的思想、先进的数值技术,得到了学术界的认可和广泛关注。

According to super-sparse characteristics of this generalized model,a large common and efficient computational software package is developed.

根据模型的超稀疏性等特点,引进多种先进而复杂的数值技术,研制了通用有效的大型计算软件包。

Gridless smooth particle hydrodynamic numerical technique of AUTODYN-2D hydrocode is used to simulate the impact behavior of spherical and cylindrical space debris on-orbit impacted at a velocity of 10km/s.

采用AUTODYN-2D无网格SPH数值技术,对碰撞速度10km/s下的球形及柱状空间碎片在轨碰撞超高速作用行为进行数值模拟,给出了不同节点处的速度变化规律。

Different from the imbricated or overlay discrezed numerical technique, an isoparametric map is proposed for the numerical code programming of this nonlocal model.

不同于迭盖离散数值技术,文中设计了实现非局部模型数值编码的等参映射方法。

Numerical simulation based on DEM was used on bearing characteristics of single pile setup in sand by different methods.

采用基于离散单元法的颗粒流数值技术对砂土中设置就位后单桩在使用阶段的承载特性进行了数值模拟。

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