针对无网格并行计算的基于模糊均值聚类的分区方法*

针对国际上普遍采用的基于回归几何二分的分区方法的缺陷,提出了基于模糊均值聚类的均匀模糊均值聚类分区算法。采用该方法对不同类型的无网格几何模型进行了分区,并根据分区信息对三维实体模型进行了并行计算。通过与基于回归几何二分法的比较,充分验证该算法的有效性和可行性。     

轴流式转轮三元粘性流动数值计算

为进一步提高轴流式转轮的设计精度与性能,采用时均Navier-Stokes控制方程,标准k-ε湍流模型及SIMPLEC算法,对一轴流定浆式水轮机转轮内三元粘性流动进行了数值模拟。提出了水力损失计算方法,获得了转轮的预测效率。分析了转轮内部流场分布规律,建立了叶片表面压力在包角范围内的变化曲线,有助于认识转轮内真实流动现象,为改善设计提供可视化数据支持。     

UPFC系统的变压器差动保护分析

并联变压器和串联变压器是统一潮流控制器(UPFC)的核心交流器件,差动保护作为这两类变压器的主保护,受UPFC特殊的运行工况影响,在不同的运行条件和不同类型的故障下会表现出不同的特性。为分析评估UPFC中各类故障对差动保护的影响,文中以实际UPFC工程的控制系统为基础,讨论了各类故障下可能对并联、串联变压器差动保护灵敏性及可靠性产生影响的因素;根据变压器区内外典型故障的仿真结果,分析了差动保护在此类故障下的行为特征,形成差动保护的适应性分析,验证了保护配置的有效性;从保护设备的角度出发,讨论了阀控制保护与交流继电保护的关系,从防误和防拒两方面为UPFC工程的交流继电保护实施提供技术参考。     

一种四自由度并联机构的标定技术

运动学标定就是对实际几何参数的估计过程，通过标定来减少动平台的位姿误差。本文对并联机构的标定技术进行了介绍，并对一种四自由度并联机构的标定过程以两种标定方法进行了说明，给出了仿真结果。     

一种新的变轴数控机床标定方法

本文论述了国内外并联数控机床所采用的标定方法，选择了序列法进行了标定试验。但在实际标定过程中，出现了部分数据误差较大的问题，本文针对所面临的问题，提出了数值逼近法，并应用到实际机床的标定中，获得了机床的相关参数。之后，通过数学模型的计算值和实际测量值对比，验证了数据的可靠性，从而验证了方法的可行性和正确性。     

Variance analysis of identified linear MISO models having spatially correlated inputs,with application to parallel Hammerstein models

This contribution concerns variance analysis of linear multi-input single-output models when the inputs are temporally white but where different inputs may be correlated. An expression is provided for the variance of a linearly parametrized estimate of the frequency response function from one block, i.e. from one input to the output. In particular, this expression reveals that the variance increases in one block when the number of estimated parameters in another block is increased, but levels off when the number of parameters in the other block reaches the number of parameters in the block in question. It also quantifies exactly how correlation between inputs affects the resulting accuracy and a graphical representation is provided for this purpose. The results are applicable to parallel MISO Hammerstein models when the nonlinearities are known and generalize an existing variance expression for this type of model.     

FracSym: Automated symbolic computation of Lie symmetries of fractional differential equations

In this paper, we present an algorithm for the systematic calculation of Lie point symmetries for fractional order differential equations (FDEs) using the method as described by Buckwar & Luchko (1998) and Gazizov, Kasatkin & Lukashchuk (2007, 2009, 2011). The method has been generalised here to allow for the determination of symmetries for FDEs with n$n$ independent variables and for systems of partial FDEs. The algorithm has been implemented in the new MAPLE package FracSym (Jefferson and Carminati 2013) which uses routines from the MAPLE symmetry packages DESOLVII (Vu, Jefferson and Carminati, 2012) and ASP (Jefferson and Carminati, 2013). We introduce FracSym by investigating the symmetries of a number of FDEs; specific forms of any arbitrary functions, which may extend the symmetry algebras, are also determined. For each of the FDEs discussed, selected invariant solutions are then presented.     

Particle-in-Cell algorithms for emerging computer architectures

We have designed Particle-in-Cell algorithms for emerging architectures. These algorithms share a common approach, using fine-grained tiles, but different implementations depending on the architecture. On the GPU, there were two different implementations, one with atomic operations and one with no data collisions, using CUDA C and Fortran. Speedups up to about 50 compared to a single core of the Intel i7 processor have been achieved. There was also an implementation for traditional multi-core processors using OpenMP which achieved high parallel efficiency. We believe that this approach should work for other emerging designs such as Intel Phi coprocessor from the Intel MIC architecture.     

CUDA programs for the GPU computing of the Swendsen–Wang multi-cluster spin flip algorithm: 2D and 3D Ising,Potts, and XY models

We present sample CUDA programs for the GPU computing of the Swendsen–Wang multi-cluster spin flip algorithm. We deal with the classical spin models; the Ising model, the q$q$-state Potts model, and the classical XY model. As for the lattice, both the 2D (square) lattice and the 3D (simple cubic) lattice are treated. We already reported the idea of the GPU implementation for 2D models (Komura and Okabe, 2012). We here explain the details of sample programs, and discuss the performance of the present GPU implementation for the 3D Ising and XY models. We also show the calculated results of the moment ratio for these models, and discuss phase transitions.