非定常Navier-Stokes方程基于完全重叠型区域分解的有限元并行算法

基于完全重叠型区域分解技巧,提出三种求解非定常Navier-Stokes方程的有限元并行算法.其基本思想是首先对空间施行完全重叠区域分解,然后各个处理器使用向后Euler格式独立并行求解关于时间t的常微分方程;对于非线性的对流项,分别采用半隐格式和全隐格式进行处理.算法中每个处理器所负责的子问题是一个全局问题,它定义在整个求解区域上,但绝大部分自由度来自其所负责的子区域,从而使得算法实现简单,通信需求少.数值算例验证了算法的有效性及其良好的并行性能.     

基于邻菲咯啉的反应型三元铕配合物的合成与荧光性质

以二苯甲酰甲烷(HDBM)为第一配体,5-丙烯酰胺基-1,10-菲咯啉(Aphen)为活性第二配体,制备了新的反应型三元铕配合物Eu(DBM)₃Aphen。通过元素分析、红外光谱和热分析对配合物进行了组成确定,采用紫外光谱、荧光光谱、荧光寿命和荧光量子产量研究了配合物的光物理性能。结果表明,在紫外光激发下,配合物Eu(DBM)₃Aphen能发射Eu3+的特征荧光,其荧光发射强度、单色性、荧光寿命和荧光量子产率等均显著高于文献报道的丙烯酸配合物Eu(DBM)₂AA的相应数值,表明配合物Eu(DBM)₃Aphen不仅可作为潜在的红色发光材料,还可作为反应型的配合物,为制备具有优异发光性能的稀土聚合物提供了一条新的途径。     

N-型四能级系统的EIT和MOLLOW谱分析

构建双耦合场作用下的N-型四能级系统,详细讨论系统的探测吸收特性随两个耦合场Rabi频率取不同值时的变化规律,得到EIT、Mollow和Autler-Townes双峰效应及其它们之间的相互转化规律。通过找出N-型四能级系统中的多个跃迁通道,将系统按跃迁通道拆分成多个子系统,不同的拆分方法实现了不同跃迁通道之间的量子干涉,从而使系统呈现出三种产生条件和物理本质不同的非线性效应。     

基于光导开关的Blumlein型PFN能量转换效率

为了驱动低能重复频率高阻抗X光管,采用低感陶瓷电容构建了一套电长度约33.5 ns、阻抗约8 的Blumlein型脉冲形成网络（BPFN）,在匹配负载条件下研究了采用GaAs光导开关（PCSS）作为脉冲输出开关时PCSS工作场强、激光触发能量与能量转换效率的关系。实验表明:PCSS截止场强为3.21～4.94 kV/cm,在工作场强高于20 kV/cm时,截止场强引起的能量损失对能量转换效率的影响不大;PCSS较高的导通电阻是影响PFN能量转换效率的主要因素,随着工作场强、激光触发能量的上升,能量转换效率呈指数上升趋势。     

Stability analysis and control synthesis of uncertain Roesser-type discrete-time two-dimensional systems

We study the stability analysis and control synthesis of uncertain discrete-time two-dimensional(2D) systems.The mathematical model of the discrete-time 2D system is established upon the well-known Roesser model,and the uncertainty phenomenon,which appears typically in practical environments,is modeled by a convex bounded(polytope type) uncertain domain.The stability analysis and control synthesis of uncertain discrete-time 2D systems are then developed by applying the Lyapunov stability theory.In the processes of stability analysis and control synthesis,the obtained stability/stabilzaition conditions become less conservative by applying some novel relaxed techniques.Moreover,the obtained results are formulated in the form of linear matrix inequalities,which can be easily solved via standard numerical software.Finally,numerical examples are given to demonstrate the effectiveness of the obtained results.     

New initial condition of the new agegraphic dark energy model

The initial condition Ω_de(z_ini)=n²(1+z_ini)^-2/4 at z_ini=2000 widely used to solve the differential equation of the density of the new agegraphic dark energy (NADE) Ω_de, makes the NADE model be a single-parameter dark-energy cosmological model. However, we find that this initial condition is only applicable in a flat universe with only dark energy and pressureless matter. In fact, in order to obtain more information from current observational data, such as the cosmic microwave background (CMB) and the baryon acoustic oscillations (BAO), we need to consider the contribution of radiation. For this situation, the initial condition mentioned above becomes invalid. To overcome this shortage, we investigate the evolutions of dark energy in the matter-dominated and the radiation-dominated epochs, and obtain a new initial condition Ω_de(z_ini)=n²(1+z_ini)^-2(1+√F(z_ini)²/4 at z_ini=2000, where F(z)≡Ω_r0(1+z)/[Ω_m0+Ω_r0(1+z)] with Ω_r0 and Ω_m0 being the current density parameters of radiation and pressureless matter, respectively. This revised initial condition is applicable for the differential equation of Ω_de obtained in the standard Friedmann-Robertson-Walker (FRW) universe with dark energy, pressureless matter, radiation, and even spatial curvature, and can still keep the NADE model being a single-parameter model. With the revised initial condition and the observational data of type Ia supernova (SNIa), CMB, and BAO, we finally constrain the NADE model. The results show that the single free parameter n of the NADE model can be constrained tightly.     

精确简洁解析的原子组态相互作用波函数的计算

使用广义Laguerre类型轨道,在组态相互作用框架内,发展并完善了一套精确、简洁、解析的原子(离子)波函数从头计算的Fortran程序,计算原子中电子的结构.通过对指定能态能量求其最小值实现对波函数节点位置和空间范围的优化,从而求出最优波函数.作为例子,计算了⁵G态下的Ti的能量最小值和优化波函数.     

电流并联负反馈放大器实验的研究

用实验的方法，研究电流并联负反馈对放大器性能的改善，提出电流型、并联型负反馈放大器性能参数的测量方法。     

一种反射型全光纤氢气传感器的设计EI北大核心CSCD

介绍了一种基于光子晶体光纤(PCF)干涉仪的新型氢气传感器。该传感器采用反射式光路设计,在氢气传感单元中引入一段PCF。该PCF的一端以及一部分包层外壁在真空条件下蒸镀了一层金属钯膜,另一端接入光路,构成一套全光纤氢气传感系统。实验中记录了氢气浓度(体积分数)从0到5%变化时传感单元对应的干涉谐振波长的变化,谐振波长最大的移动可达1.2nm,相比大多数基于布拉格光栅的光纤氢气传感器,相同条件下灵敏度有很大的提高。整套传感系统未引入任何分立的光学元件,在兼顾了全光纤光路的条件下,实现了较高的检测灵敏度。     

四杆型射频四极场加速器的极间电压调谐及测定北大核心CSCD

为了提高射频四极场加速器(RFQ)的束流传输效率,需要对纵向分布不均匀的极间电压进行补偿,并且准确测量束流实验中极间电压的绝对数值。考虑到极间电压分布不均匀是由于分布电容和端部效应造成的,而采用调谐块可以调节分布电感,通过电磁场数值模拟研究了调谐块对极间电压分布的影响,最终极间电压的平整度被调整到优于95%。在束流实验中,通过测量轫致辐射谱测定了极间电压的数值,通过束流动力学模拟研究了多能峰产生的原因,并最终标定了70kV极间电压对应的输入功率值284kW。