关于循环矩阵逆平方根矩阵的计算

利用矩阵分块降阶的方法给出了计算循环矩阵逆平方根矩阵的两种方法.可以证明这两种算法与已有的方法相比,在减少运算量方面具有较大的优势.     

人民币汇率波动对我国出口价格的传递效应研究——区分持久性与暂时性汇率变动的不同影响

实体经济的变化和货币政策与金融市场的扰动,分别造成汇率的持久性变动与暂时性变动。为了研究这两种不同的汇率变动对出口价格产生的影响,本文通过研究不完全竞争市场中出口企业的定价行为,建立理论分析框架,并使用Blanchard-Quah方法对汇率变动进行分解,得出两种不同的汇率变动。基于VEC模型,采用1997年1月至2012年12月我国的出口价格数据进行实证分析,结果表明:人民币实际有效汇率的持久性变动和暂时性变动对我国出口价格的传递系数分别为0.84和0.67。因此,加快出口行业的转型与升级以及维持好货币政策与金融市场的稳定,对降低汇率波动对我国出口企业的影响具有重要的意义。     

Generalized and Unified Families of Interpolating Subdivision Schemes

We present generalized and unified families of $(2n)$-point and $(2n-1)$-point $p$-ary interpolating subdivision schemes originated from Lagrange polynomial for any integers $n ≥ 2$ and $p ≥ 3$. Almost all existing even-point and odd-point interpolating schemes of lower and higher arity belong to this family of schemes. We also present tensor product version of generalized and unified families of schemes. Moreover, error bounds between limit curves and control polygons of schemes are also calculated. It has been observed that error bounds decrease when complexity of the scheme decrease and vice versa. Furthermore, error bounds decrease with the increase of arity of the schemes. We also observe that in general the continuity of interpolating scheme do not increase by increasing complexity and arity of the scheme.     

Comparative Analysis of Nonlinear Dispersive Shallow Water Models

The results of comparative analysis of some nonlinear dispersive models of shallow water are presented. The aim is to find their individual properties relevant for the numerical solution of some model problems of long wave transformation over submerged obstacles The study considers basic properties of the listed models and their numerical implementation. Computations are obtained compared with the analytical solution and experimental data. Attention is primarily focused on the models suggested by Peregrine (1967); Zheleznyak and Pelinovsky (1985); Kim, Reid, Whitakcr (1988): Fedotova and Pashkova (1997). Also classical equations of shallow water are considered in both linear and nonlinear approximations.     

A Flow feature detection framework for large-scale computational data based on incremental proper orthogonal decomposition and data mining

ABSTRACT

A framework based on incremental proper orthogonal decomposition (iPOD) and data mining to perform large-scale computational data analysis is presented. It includes iPOD to incrementally reduce data dimensions and decouple dynamic flow structures in massive CFD data; data mining to classify and identify candidate global regions of interest (ROIs) for focused analysis; feature detection to capture key flow features and ultimate ROIs (UROIs); and targeted data storage and visualisation. Quantitative results show that iPOD is able to process large datasets that overwhelm the batch-POD, leading to 4–16× data reduction in the temporal domain. Data mining and feature detection algorithms, respectively, identify 50–70% of the spatial domain with high probability of flow feature occurrence and only 2–30% containing key flow features. The UROI and associated data can be selectively stored and visualised. In contrast to batch-POD, iPOD reduces memory usage by more than 10× and time by up to 75%.     

Free-form deformation,mesh morphing and reduced-order methods: enablers for efficient aerodynamic shape optimisation

ABSTRACT

In this work, we provide an integrated pipeline for the model-order reduction of turbulent flows around parametrised geometries in aerodynamics. In particular, free-form deformation is applied for geometry parametrisation, whereas two different reduced-order models based on proper orthogonal decomposition (POD) are employed in order to speed-up the full-order simulations: the first method exploits POD with interpolation, while the second one is based on domain decomposition. For the sampling of the parameter space, we adopt a Greedy strategy coupled with Constrained Centroidal Voronoi Tessellations, in order to guarantee a good compromise between space exploration and exploitation. The proposed framework is tested on an industrially relevant application, i.e. the front-bumper morphing of the DrivAer car model, using the finite-volume method for the full-order resolution of the Reynolds-Averaged Navier–Stokes equations.     

金属有机分解法制备无铅K0.5Bi0.5TiO3铁电薄膜

采用金属有机分解法(MOD)在p型Si(111)衬底上制备了K0.5Bi0.5TiO3(KBT)薄膜.用X射线衍射技术研究了薄膜的结构和结晶性.同时还研究了薄膜的绝缘性和存储性能.结果发现在740°C下退火4min的KBT薄膜呈钙钛矿结构;在0～8V范围内,薄膜的漏电流小于1.5×10-9A;在-12～+8V的偏压范围内,C-V记忆窗口宽度为10V.     

Stability of P_2 Methods for Neutron Transport Equation

In this paper the P_2 approximation to the one-group planar neutron transport theory is discussed. The stability of the solutions for P_2 equations with general boundary conditions, including the Marshak boundary condition, is proved. Moreover, the stability of the up-wind difference scheme for the P_2 equation is demonstrated.     

基于温度变化Fourier展开的惯导航向效应补偿

航向效应对高精度空间稳定平台式惯性导航系统具有致命的影响。根据系统变航向导航试验数据,分析了变航向引起温度及平台漂移变化的作用机理,讨论了平台漂移变化与温度变化的相关性,进而提出基于温度变化Fourier展开的航向效应补偿方法。采用滑动最小二乘拟合导航误差的方法提取平台常值漂移的变化,并以此为观测量标定平台漂移的温度系数。最后,利用多组变航向试验数据对所述补偿方法进行验证,结果表明:平台常值漂移变化与温度变化基波分量的幅值具有强相关性,该补偿方法可将温度变化引起的航向效应误差降低40%~90%,具有较强的工程应用潜力。     

草酸根作用下Co3O4八面体的控制合成

在草酸根的作用下,采用水热法合成了暴露八个(111)晶面的Co3 O4八面体.采用XRD、SEM、TEM和HRTEM等手段对产物进行了表征和分析,结果表明该Co3 O4八面体呈立方晶相且具有很高的结晶性.详细研究了反应时间、反应温度、草酸根浓度等反应条件对Co3 O4形貌的影响.研究表明草酸根可选择吸附在Co3 O4的(111)晶面,通过其较大的空间位阻限制(111)晶面的生长,从而使该晶面得以最终暴露.由于(111)晶面具有较高的能量,该Co3 O4八面体具有良好的高氯酸铵(AP)催化热分解性能.