多圆柱上μBloch空间之间的加权Cesàro算子

分别给出了多圆柱上μ-Bloch空间βμ之间、βμ,0空间之间的加权Cesàro算子Tg为有界算子和紧算子的充要条件.     

高阶辛算法的稳定性与数值色散性分析

利用Maxwell方程的哈密尔顿函数,导出对应的欧拉-哈密尔顿方程.利用辛积分技术与高阶交错差分技术,建立求解三维时域Maxwell方程的高阶辛算法;结合电磁场中的物理概念,借助矩阵分析和张量分析理论,获得高阶时域方法及高阶辛算法的稳定性和数值色散性的统一处理新方法.用数值结果证实方法的正确性,与FDTD算法和其它时域高阶方法相比,高阶辛算法具有较大的计算优势,为电磁计算提供了新的途径.     

Terahertz coherent transition radiation based on an ultrashort electron bunching beam

The experimental result of terahertz (THz) coherent transition radiation generated from an ultrashort electron bunching beam is reported.During this experiment,the window for THz transmission from ultrahigh vacuum to free air is tested.The compact measurement system which can simultaneously test the THz wave power and frequency is built and proofed.With the help of improved Martin-Puplett interferometer and Kramers-Krong transform,the longitudinal bunch length is measured.The results show that the peak power of THz radiation wave is more than 80 kW,and its radiation frequency is from 0.1 THz to 1.5 THz.     

2013年“菲特”台风暴雨数值模拟中微物理方案的对比试验

利用TRMM（热带测雨雷达）搭载的TMI（微波成像仪）反演廓线资料,分析“菲特”台风登陆前、后云团内部水凝物的分布种类,依此选择WRF区域中尺度模式下符合条件的6个云微物理过程参数化方案（Lin,WSM6,Godgce,WDM6,Morrison以及Thompson方案）,模拟2013年10月6~8日的台风过程.从降水落区、强度,水凝物及风场垂直分布,台风路径及强度等方面对预报性能进行对比,结果表明,选用的6个云微物理方案都较好地模拟了浙江暴雨的范围和强度.结合Ts评分,降水量级越大,模拟效果对云微物理方案选择越敏感,其中,Lin方案效果最佳,尤其对极端降水的模拟,其次为WSM6、WDM6及Thompson方案,Morrison和Godgce方案相对较差.结合水凝物平均值廓线分布发现,除WDM6方案外,其他方案对暖雨过程的模拟基本一致,而对冰相过程的模拟6个方案差别较大;同时,各方案对风分量的模拟结果较水凝物廓线差别小,说明对于动力因素模拟不敏感.另外,6个方案对于台风强度的模拟整体偏弱,相较之下,Lin方案较好地模拟了强度变化趋势.     

二氧化钛在钙钛矿太阳电池中的应用

纳米TiO₂由于具有合适的禁带宽度、良好的光电化学稳定性、制作工艺简单等特点,目前广泛应用于染料敏化、量子点和钙钛矿等太阳电池中。作为电池的重要组成部分之一,纳米TiO₂晶体尺寸、颗粒大小和制备方法等明显影响电池的光伏性能,相关研究工作一直是染料敏化、量子点和钙钛矿等太阳电池方面的重点。本文综述了纳米TiO₂作为致密层和骨架层在钙钛矿太阳电池中的应用研究进展,主要讨论了纳米TiO₂的不同形貌、制备方法以及结构等对电池光电性能的影响,并针对纳米TiO₂在后续对电池性能提升方面进行了展望。     

Compressible simulations of bubble dynamics with central-upwind schemes

This paper discusses the implementation of an explicit density-based solver, that utilises the central-upwind schemes for the simulation of cavitating bubble dynamic flows. It is highlighted that, in conjunction with the Monotonic Upstream-Centered Scheme for Conservation Laws (MUSCL) scheme they are of second order in spatial accuracy; essentially they are high-order extensions of the Lax–Friedrichs method and are linked to the Harten Lax and van Leer (HLL) solver family. Basic comparison with the predicted wave pattern of the central-upwind schemes is performed with the exact solution of the Riemann problem, for an equation of state used in cavitating flows, showing excellent agreement. Next, the solver is used to predict a fundamental bubble dynamics case, the Rayleigh collapse, in which results are in accordance to theory. Then several different bubble configurations were tested. The methodology is able to handle the large pressure and density ratios appearing in cavitating flows, giving similar predictions in the evolution of the bubble shape, as the reference.     

Derivative artificial compression method for conservation laws with multi-dimensional extension

A new resolution-enhancing technique called derivative artificial compression method is developed with multi-dimensional extension. The method is constructed via applying high-resolution difference schemes on derivative equations of conservation laws. In this way, one could overcome the defect of accuracy decay at extreme points that has plagued almost all high-resolution schemes. The new method has high resolution, low dissipation and low diffusion properties, and could enhance the resolution (of numerical solution) both at discontinuities and at extreme points. Numerical experiments are implemented using initial value problems of single conservation law, one-dimensional shock-tube problem, two-dimensional Riemann problems, double Mach reflection problem, and a shock reflection from a wedge. Resolutions of discontinuities, extremes and fine structures are compared between the original TVD scheme, TVD scheme with artificial compression method and TVD scheme with derivative artificial compression method.     

一种高精度的修正Hermite-ENO格式

设计一种基于三单元具有六阶精度的修正Hermite-ENO格式（CHENO）,求解一维双曲守恒律问题.CHENO格式利用有限体积法进行空间离散,在空间层上,使用ENO格式中的Newton差商法自适应选择模板.在重构半节点处的函数值及其一阶导数值时,利用Taylor展开给出修正Hermite插值使其提高到六阶精度,并设计了间断识别法与相应的处理方法以抑制间断处的虚假振荡;在时间层上采用三阶TVD Runge-Kutta法进行函数值及一阶导数值的推进.其主要优点是在达到高阶精度的同时具有紧致性.数值实验表明对一维双曲守恒律问题的求解达到了理论分析结果,是有效可行的.     

A comparison of spatial discretization schemes for differential solution methods of the radiative transfer equation

A comparison of discretization schemes required to evaluate the radiation intensity at the cell faces of a control volume in differential solution methods of the radiative transfer equation is presented. Several schemes developed using the normalized variable diagram and the total variation diminishing formalisms are compared along with essentially non-oscillatory schemes and genuinely multidimensional schemes. The calculations were carried out using the discrete ordinates method, but the analysis is equally valid for the finite-volume method. It is shown that the S schemes of the genuinely multidimensional family perform quite well, particularly in problems with discontinuous radiation intensity fields. However, they are time consuming, and so they do not always become more attractive regarding the trade-off between accuracy and computational requirements, in comparison with other high-order schemes that, although being less accurate, are also more economical.     

解非定常不可压缩N-S方程的迭代压力Poisson方程法

１．引 言 数值求解不可压缩流体流动问题可以采用原始变量的方程作为控制方程,也可以用涡量一流函数方程作为控制方程．直接求解原始变量的不可压缩 Ｎａｖｉｅｒ—Ｓｔｏｋｅｓ方程存在一个主要困难：速度向量在每一时刻都必须满足零散度约束条件,即不可压缩性连续方程．用涡量一流函数方程求解时,连续方程自动满足,所以不存在约束条件的问题,但涡量的边界条件比较难处理,且不易应用于三维问题和带有自由表面或其它流体交界面的问题． 解决上述速度向量必须满足零散度约束条件的困难的方法有：人工压缩法［３,１７］;压力Ｐｏｉｓ…