Topologically Mixing and Hypercyclicity of Tuples

In this paper,we characterize conditions under which a tuple of bounded linear operators is topologically mixing.Also,we give conditions for a tuple to be hereditarily hypercyclic with respect to a tuple of syndetic sequences.     

CFD-simulation of a circulating fluidized bed riser

In the current work,a model of the fluid mechanics in the riser of a circulating fluidized bed(CFB)has been implemented using computational fluid dynamics(CFD).The model developed shall be used in future as the basis of 3D-reactor model for the simulation of large scale CFB combustors.The two-fluid model(TFM)approach is used to represent the fluid mechanics involved in the flow.The computational implementation is accomplished by the commercial software FLUENT.Different closure formulations are tested on a simplified geometry.Two different turbulence formulations,namely the swirl modified RNG k–εmodel and the Realizable k–εmodel,are tested in combination with two different approaches to solid phase turbulence,namely the dispersion and per phase approach.One focus of the current work is put on the study of different drag correlations.Besides the drag correlations by Syamlal et al.[Syamlal,M.,Rogers, W.,O’Brien,T.J.(1993).MFIX documentation theory guide.Technical Report DOE/METC-94/1004,U.S. Department of Energy(DOE).Morgantown Energy Technology Center:Morgantown,WV]and Gidaspow [Gidaspow,D.(1994).Multiphase flow and fluidization.New York:Academic Press]the EMMS model has been used to determine the momentum exchange between the two phases.The resulting formulation is then used to simulate a 1-m×0.3-m cold CFB setup and is validated by experimental results[Schlichthrle, P.(2000).Fluid dynamics and mixing of solids and gas in the bottom zone of circulating fluidized beds. Unpublished doctoral dissertation,Technische Universitaet Hamburg-Harburg,Shaker Verlag:Aachen].     

非紧集上的Stampacchia向量均衡问题

在拓扑向量空间中,利用著名的Fan-KKM定理,得到非紧集上Stampacc ia向量均衡问题的解,推广和发展了近期的一些研究结果。     

基于离散余弦变换和支持向量机的多光谱纹理图像的茶叶分类研究

提出一种利用多光谱图像纹理特征进行茶叶分类的新方法。图像由MS3100-3CCD光谱成像仪获得,光谱成像仪提供近红外(NIR)、红色(R)和绿色(G)的3个波段的图像。首先对原图像的NIR波段图像提取均方值,然后应用离散余弦变换算法,构造出8个带通和高通滤波器对NIR通道的图像进行滤波并提取均方差值,最后应用支持向量机技术,分别对原图像的NIR提取的均方差值和用8个滤波器滤过的图像提取的均方差值进行建模。茶叶样本总共为240个,训练和预测各为120个,每种训练样本和预测样本各为20个。结果表明经过8个滤波器处理图像的识别率为100%,而没有经过滤波处理的纹理图像识别率只有73.33%,说明离散余弦变换算法设计的滤波器是一种非常有效的纹理识别技术,此实验同时也为茶叶的分类提供一种快速和无损的新方法。     

Comparison of Two Mathematical Models for 3D Groundwater Flow: Block-Centered Heads and Edge-Based Stream Functions

Traditionally, groundwater flow models, as well as oil reservoir models, are based on the block-centered finite difference method. Well-known models based on this approach are MODFLOW (groundwater) and ECLIPSE (oil and gas). Such models are well proven and robust; their underlying principles are well understood by hydrologists and petroleum reservoir engineers. Nevertheless, the desire to improve the block-centered finite difference paradigm has always been alive, for instance, to be able to apply deformed grid blocks, or to model anisotropy that is not aligned along the coordinate axes. This article introduces the edge-based stream function as a potential alternative to the paradigmatic model, not only to mitigate the above mentioned limitations, but especially for its promise to inverse modeling. Computer programs have been developed for the discrete analog equations of the stream function method and the conventional method. The two methods are tested by using synthetic forward modeling problems of uniform and radial flow. The theoretical formulation and the numerical results show that the two methods are algebraically equivalent and yield the same flux output. However, for rectangular grid blocks and anisotropy aligned along the coordinate axes, the block-centered method is shown to be computationally more efficient than the edge-based stream function method. The major advantage of the stream function method is that it is linear in the resistivities, proving it an ideal candidate for direct inverse modeling. Moreover, any arbitrary specification of stream functions yields a solution that satisfies the mass balance.     

Study of size effects in thin films by means of a crystal plasticity theory based on DiFT

In a recent publication, we derived the mesoscale continuum theory of plasticity for multiple-slip systems of parallel edge dislocations, motivated by the statistical-based nonlocal continuum crystal plasticity theory for single-glide given by Yefimov et al. [2004b. A comparison of a statistical-mechanics based plasticity model with discrete dislocation plasticity simulations. J. Mech. Phys. Solids 52, 279-300]. In this dislocation field theory (DiFT) the transport equations for both the total dislocation density and geometrically necessary dislocation (GND) density on each slip system were obtained from the Peach-Koehler interactions through both single and pair dislocation correlations. The effect of pair correlation interactions manifested itself in the form of a back stress in addition to the external shear and the self-consistent internal stress. We here present the study of size effects in single crystalline thin films with symmetric double slip using the novel continuum theory. Two boundary value problems are analyzed: (1) stress relaxation in thin films on substrates subject to thermal loading, and (2) simple shear in constrained films. In these problems, earlier discrete dislocation simulations had shown that size effects are born out of layers of dislocations developing near constrained interfaces. These boundary layers depend on slip orientations and applied loading but are insensitive to the film thickness. We investigate the stress response to changes in controlled parameters in both problems. Comparisons with previous discrete dislocation simulations are discussed.     

一种磨损预测的优化算法研究

根据机械部件磨损机理复杂、磨损量预测难精确的特点,提出基于免疫粒子群参数优化的最小二乘支持向量机方法预测磨损量.该算法采用免疫粒子群优化最小二乘支持向量机建模参数,避免了算法陷入局部最优解,实现了精确度高、泛化能力强的磨损量预测模型.对轴承钢试件磨损进行了试验研究,试验数据分析结果表明,基于免疫粒子群的最小二乘支持向量机预测方法优于前向反馈神经网络算法、遗传算法及蚁群算法,预测误差较小,具有很好的预测能力.     

具连续偏差变元的向量抛物型方程的H-振动性

考虑一类具连续偏差变元的向量抛物型偏微分方程的振动性,利用Domslak引进的H-振动的概念及内积降维的方法,将多维振动问题化为一维泛函微分不等式不存在最终正解的问题,给出了该类方程在Robin边值条件下所有解H-振动的若干充分条件,这里H是R^M中的单位向量．     

类凸向量均衡问题解的最优性条件

在实的局部凸的Hausdorff拓扑线性空间中,考虑带约束的向量均衡问题,利用凸集分离定理,给出了带约束的类凸向量均衡问题的弱有效解,Henig有效解,全局有效解和超有效解的充分必要条件,并通过举例说明了锥类凸映射是比锥凸映射更弱的映射。     

Photoproduction of Vector Meson ø off Deuteron in QCD Inspired Model

Based on the quark-gluon contents of nucleon and strongly believing that the force mediators, Pomeron and its counterpart in the conventional approach of Regge theory, for high energy diffractive process would be the tensor glueball and Odderonrespectively, we discuss photo-production of vector meson ø off the deuteron at energy less than 3 GeV in the QCD inspired model in which the quark gluon degrees of freedom and glueball, Odderon exchange are taken into account. A calculation isperformed for γ+D → ø+D, and the theoretical predictions of the differential cross section dσ ^γD/dt, are presented and compared with available experimental data. Our QCD inspired model reproduces data quite well in the whole range of the experimental measurements up to |t|≌ 0.4~GeV. Our results can be used toextract γn →øn data, which cannot be measured in experiment.