共查询到20条相似文献,搜索用时 15 毫秒
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Chih-Hao Liu Kuen-Hau Lin Hao-Chueh Mai Chao-An Lin 《Computers & Mathematics with Applications》2010,59(7):2178-2193
Consistent 2D and 3D thermal boundary conditions for thermal lattice Boltzmann simulations are proposed. The boundary unknown energy distribution functions are made functions of known energy distribution functions and correctors, where the correctors at the boundary nodes are obtained directly from the definition of internal energy density. This boundary condition can be easily implemented on the wall and corner boundary using the same formulation. The discrete macroscopic energy equation is also derived for a steady and fully developed channel flow to assess the effect of the boundary condition on the solutions, where the resulting second order accurate central difference equation predicts continuous energy distribution across the boundary, provided the boundary unknown energy distribution functions satisfy the macroscopic energy level. Four different local known energy distribution functions are experimented with to assess both this observation and the applicability of the present formulation, and are scrutinized by calculating the 2D thermal Poiseuille flow, thermal Couette flow, thermal Couette flow with wall injection, natural convection in a square cavity, and 3D thermal Poiseuille flow in a square duct. Numerical simulations indicate that the present formulation is second order accurate and the difference of adopting different local known energy distribution functions is, as expected, negligible, which are consistent with the results from the derived discrete macroscopic energy equation. 相似文献
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R. Yu. Lukianova 《Mathematical Models and Computer Simulations》2017,9(6):708-715
Modeling the global distribution of the electric potential in the Earth’s ionosphere is based on the solution of a 2D continuity equation in the ionospheric-magnetospheric current circuit. The potential distribution is described by the boundary value problem for an elliptic system of partial differential equations on the spherical shell approximating the ionosphere, which is divided into three subregions with nonlocal boundary conditions. Implementation of the boundary conditions, which reflect the continuity of the common current circuit and potential equalization at the boundaries of the polar caps, is leading to the mutual dependence of the potential distribution within the northern and southern caps and their influence on the potential distribution in the midlatitude region. The problem is solved by an iterative method with a regularizing operator which is inverted using the separation of the variables and the fast Fourier transform with respect to the azimuthal variable and the sweep method with respect to the latitudinal one. 相似文献
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Graphene doped with nitrogen exhibits unique properties different than perfect graphene. The temperature distribution in nitrogen-doped graphene (N-graphene) and in the graphene with grain boundary is investigated using molecular dynamics simulations. The temperature distribution in nitrogen-doped graphene nanoribbon, containing two types of grain boundaries, was found to be sensitive to the number of dopants and grain boundary. We also found that there is a remarkable temperature gap in the temperature profile of N-graphene nanoribbon-containing a grain boundary. For any doping ratio N/C we found that the nitrogen atoms enhance roughness of N-graphene and decrease thermal conductivity. 相似文献
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We are interested in the finite element solution of elliptic problems with a right-hand side of the single layer distribution type. Such problems arise when one aims at accounting for a physical hypersurface (or line, for bi-dimensional problem), but also in the context of fictitious domain methods, when one aims at accounting for the presence of an inclusion in a domain (in that case the support of the distribution is the boundary of the inclusion). The most popular way to handle numerically the single layer distribution in the finite element context is to spread it out by a regularization technique. An alternative approach consists in approximating the single layer distribution by a combination of Dirac masses. As the Dirac mass in the right hand side does not make sense at the continuous level, this approach raises particular issues. The object of the present paper is to give a theoretical background to this approach. We present a rigorous numerical analysis of this approximation, and we present two examples of application of the main result of this paper. The first one is a Poisson problem with a single layer distribution as a right-hand side and the second one is another Poisson problem where the single layer distribution is the Lagrange multiplier used to enforce a Dirichlet boundary condition on the boundary of an inclusion in the domain. Theoretical analysis is supplemented by numerical experiments in the last section. 相似文献
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现有粗糙K-means聚类算法及系列改进、衍生算法均是从不同角度描述交叉类簇边界区域中的不确定性数据对象,却忽视类簇间规模的不均衡对聚类迭代过程及结果的影响.文中引入区间2-型模糊集的概念度量类簇的边界区域数据对象,提出基于区间2-型模糊度量的粗糙K-means聚类算法.首先根据类簇的数据分布生成边界区域样本对交叉类簇的隶属度区间,体现数据样本的空间分布信息.然后进一步考虑类簇的数据样本规模,在隶属度区间的基础上自适应地调整边界区域的样本对交叉类簇的影响系数.文中算法削弱边界区域对较小规模类簇的中心均值迭代的不利影响,提高聚类精度.在人工数据集及UCI标准数据集的测试分析验证算法的有效性. 相似文献
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Luca Heltai 《Computers & Structures》2008,86(7-8):598-617
The immersed boundary (IB) method is a mathematical formulation for fluid–structure interaction problems, where immersed incompressible visco-elastic bodies or boundaries interact with an incompressible fluid.The original numerical scheme associated to the IB method requires a smoothed approximation of the Dirac delta distribution to link the moving Lagrangian domain with the fixed Eulerian one.We present a stability analysis of the finite element immersed boundary method, where the Dirac delta distribution is treated variationally, in a generalized visco-elastic framework and for two different time-stepping schemes. 相似文献
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基于边界点词性特征统计的韵律短语切分 总被引:10,自引:6,他引:4
由于基于规则方法的文本处理系统在系统建立时需要总结大量的规则,而且很难保证它在处理大规模真实文本时的强壮性,因此本文在使用统计方法进行韵律短语切分方面做了一些有益的探索。先对文本进行自动分词和自动词性标注,然后利用从已经经过人工标注的语料库中得到的韵律短语切分点的边界模式以及概率信息,对文本中的韵律短语切分点进行自动预测,最后利用规则进行适当的纠错。通过对一千句的真实文本进行封闭和开放测试,
词性标注的正确率在95%左右,韵律短语切分的召回率在60%左右,正确率达到了80%。 相似文献
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Wechsler H Kidode M 《IEEE transactions on pattern analysis and machine intelligence》1979,(3):272-280
We consider the problem of texture discrimination. Random walks are performed in a plain domain D bounded by an absorbing boundary ? and the absorption distribution is calculated. Measurements derived from such distributions are the features used for discrimination. Both problems of texture discrimination and edge segment detection can be solved using the same random walk approach. The border distributions and their differences with respect to a homogeneous image can classify two different images as having similar or dissimilar textures. The existence of an edge segment is concluded if the boundary distribution for a given window (subimage) differs significantly from the boundary distribution for a homogeneous (uniform grey level) window. The random walk procedure has been implemented and results of texture discrimination are shown. A comparison is made between results obtained using the random walk approach and the first-or second-order statistics, respectively. The random walk procedure is intended mainly for the texture discrimination problem, and its possible application to the edge detection problem (as shown in this paper) is just a by-product. 相似文献
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已知流形学习算法都假设数据分布于一个单流形,而现实中大部分数据都分布在多流形上,因此限制算法的实际应用.基于此种情况,文中提出基于边界检测的多流形学习算法,通过检测流形的边界处理分布于多流形的数据,并且可以较好地保持流形内、流形间的测地距离.算法首先检测流形边界,再分别降维处理各流形,最后将各低维坐标重置于一个全局坐标系中.在人工数据集和真实数据集上的对比实验表明文中算法的可行性和有效性. 相似文献
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In this paper, we propose a new feature extraction method for feedforward neural networks. The method is based on the recently published decision boundary feature extraction algorithm which is based on the fact that all the necessary features for classification can be extracted from the decision boundary. The decision boundary feature extraction algorithm can take advantage of characteristics of neural networks which can solve complex problems with arbitrary decision boundaries without assuming underlying probability distribution functions of the data. To apply the decision boundary feature extraction method, we first give a specific definition for the decision boundary in a neural network. Then, we propose a procedure for extracting all the necessary features for classification from the decision boundary. Experiments show promising results. 相似文献
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针对基于ZigBee技术的井下定位区域内定位误差在边界处定位节点会从网络外部向网络内部发生一定偏移,致使定位误差相对较大,但正负方向固定不变的分布规律,定义了定位边界效应,并提出了针对边界效应的优化方法。利用最小二乘法对边界区域的平均误差做二次函数拟合,并通过改进的BP神经网络预测针对不同节点间距对应的网络模型的边界区域补偿函数。实验结果表明,由BP神经网络预测的补偿函数可大幅改善边界区域的定位精度,使边界区域定位误差达到1m以下。 相似文献
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无边缘活动轮廓CV模型对于边界模糊以及背景灰度分布不均匀的图像缺乏良好的分割效果。基于此,对该模型进行了如下改进。对边界指示函数进行修改,将改进后的边界指示函数融入CV模型的长度项中。引用双阱势的距离正则项来避免水平集重新初始化,从而得到了一个梯度与区域信息相结合的水平集演化方程,并应用变分法中的有限差分法对方程进行求解。对木材虫眼、活节和死节图像进行了数值仿真模拟,仿真结果表明该模型对背景分布不均匀的图像具有良好的分割效果。 相似文献
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粒子-边界作用模型是粒子模拟中非常重要的一类边界条件,主要包括镜面反射、回弹反射和热边界等.本文详细介绍了这几类边界条件,重点分析讨论了几种模型中涉及的Maxwell分布和偏Maxwell分布以及它们在计算机模拟中的实现方式,并用硬球对流体做了模拟测试.模拟结果表明,对于热平衡状态下的流体,壁面反射粒子速度用Maxwell分布模拟的流体温度比边界要低,二维情况下只有壁面温度的约0.70,三维情况下则约为0.77.并且流体温度不是处处相等,靠近壁面处比其他地方要显得更低,而用偏Maxwell分布模拟的流体状态则与实际情形吻合的很好. 相似文献
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