无界区域上波导问题的有效谱迦略金方法(英文)

旨在求解二维无界区域上的波导问题.通过在人工边界施加精确非反射边界条件(nonreflecting boundary condition,NRBC),可以将无界问题截断为有界问题,然后,给出了在空间上用傅里叶谱迦略金方法、时间上用Newmark格式和Richardson外插技巧的数值格式来求解该有界问题.介绍了一个快速的时间行进格式来处理包含在NRBC中的时间方向的卷积.提出的算法在空间和时间上都可以达到高阶精度.另外,也证明了该截断问题的适定性.     

半无界非线性热传导方程的Laguerre拟谱方法

以Laguerre-Gauss-Radau节点为配置点,利用拟谱方法求数值解,逼近半无界非线性热传导方程非齐次Neumann边界条件的正确解.给出算法格式和相应的数值例子,表明所提算法格式的有效性和高精度.这里所用方法也可用于求解其他非线性问题.     

Controllability of the Heat Equation with a Control Acting on a Measurable Set

The paper deals with the controllability of a heat equation.It is well-known that the heat equation yt y = uχE in(0,T)×Ω with homogeneous Dirichlet boundary conditions is null controllable for any T > 0 and any open nonempty subset E of Ω.In this note,the author studies the case that E is an arbitrary measurable set with positive measure.     

Sharp Observability Inequalities for the 1-D Plate Equation with a Potential

This paper deals with the problem of sharp observability inequality for the 1-D plate equation wtt + wxxxx + q(t,x)w = 0 with two types of boundary conditions w = wxx = 0 or w = wx = 0,and q(t,x) being a suitable potential.The author shows that the sharp observability constant is of order exp(C q ∞27) for q ∞≥ 1.The main tools to derive the desired observability inequalities are the global Carleman inequalities,based on a new point wise inequality for the fourth order plate operator.     

Simulation of the Second Grade Fluid Model for Blood Flow through a Tapered Artery with a Stenosis

We analyze the blood flow through a tapered artery, assuming the blood to be a second order fluid model. The resulting nonlinear implicit system of partial differential equations is solved by the perturbation method. The expressions for shear stress, velocity, flow rate, wall shear stress and longitudinal impedance are obtained. The physical behavior of different parameters is also discussed, as are trapping phenomena.     

螺旋线行波管注波互作用时域理论

研究了螺旋线行波管中电子注与高频场互作用的时域理论.电子对场的作用由高频场方程和空间电荷场方程模拟,场对电子注的作用由运动方程模拟.在螺旋导电面模型下利用安培环路定理和法拉第电磁感应定律得到了时域高频场方程.利用空间电荷波模型处理空间电荷场,得到了空间电荷场方程.将高频场和空间电荷场代入洛伦兹力方程,得到了运动方程.利用耦合阻抗处理高频场方程的激励源,使得高频场方程的求解能够借助诸如HFSS或HFCS等高频模拟软件来实现,增强了时域理论的灵活性.基于上述理论,编写软件数值模拟某螺旋线行波管,验证了时域理论的可行性.     

BaFe0.4Sn0.6O3/BaBiO3负温度系数复合热敏陶瓷阻抗分析

以BaBiO₃为导电相,BaFe_0.4Sn_0.6O₃为高阻相,采用固态反应法制备了不同BaBiO₃含量的BaFe_0.4Sn_0.6O₃/BaBiO₃负温度系数(NTC)热敏复合陶瓷.为获得在渗流阈值(即BaBiO₃含量为12 mol%)前后复合陶瓷的内部导电机理,对复合陶瓷进行了阻抗分析.分     

脉冲变压器充电过程中次级线圈匝间电压的分布

实验发现线绕的螺旋形脉冲变压器在充电期间存在击穿的现象,有时甚至在原边刚导通的时刻就发生击穿,而此时副边并无电压输出。为解释这种实验结果和避免击穿,提高耐压水平,利用简化的多导体传输线方法,在忽略了充电过程中的位移电流情况下,给出了变压器在不同时刻次级绕组层间电压分布。结果表明:变压器层间电压分布随时间变化,且与电路外部参数如失谐、原边电容电压等存在关系。失谐系数较小时,可能在充电的初始时刻就发生变压器击穿。可以利用这些特性来改进螺旋形线绕变压器的设计,使电压分布尽可能均匀,提高耐压强度。     

1MV低阻抗加速器主开关优化设计

介绍了一种1 MV低阻抗加速器的结构及其对主开关系统的要求,并对确定使用的油介质开关进行了优化设计与模拟。优化后的结果显示,开关工作在1 MV时,放电电感约100 nH,分布电容约150 pF,充电电感约360 nH;开关的放电参数不会对波形造成过大的不良影响,充电参数不影响Marx发生器给形成线的充电时间,开关内部电场安全,变压器油与尼龙交界面不会发生闪络。设计后的开关与其它部件搭建起低阻抗加速器进行调试,加速器输出约700 kV,70 kA、脉宽150 ns的电子束,开关满足实验需求。     

Preliminary analysis of resonance effect by Helmholtz-SchrSdinger method

The Helmholtz SchrSdinger method is employed to study the electric field standing wave caused by coupling through a simple slot. There is a good agreement between the numerical results and the resonant conditions presented by the Helmholtz-Schrodinger method. Thus, it can be used in similar cases where the amplitude of the electric field is the important quantity or eigenfunctions of the Schrodinger equation are needed for complicated quantum structures with hard wall boundary conditions.