A Class of TVD Type Combined Numerical Scheme for MHD Equations With a Survey About Numerical Methods in Solar Wind Simulations

It has been believed that three-dimensional, numerical, magnetohydrodynamic (MHD) modelling must play a crucial role in a seamless forecasting system. This system refers to space weather originating on the sun; propagation of disturbances through the solar wind and interplanetary magnetic field (IMF), and thence, transmission into the magnetosphere, ionosphere, and thermosphere. This role comes as no surprise to numerical modelers that participate in the numerical modelling of atmospheric environments as well as the meteorological conditions at Earth. Space scientists have paid great attention to operational numerical space weather prediction models. To this purpose practical progress has been made in the past years. Here first is reviewed the progress of the numerical methods in solar wind modelling. Then, based on our discussion, a new numerical scheme of total variation diminishing (TVD) type for magnetohydrodynamic equations in spherical coordinates is proposed by taking into account convergence, stability and resolution. This new MHD model is established by solving the fluid equations of MHD system with a modified Lax-Friedrichs scheme and the magnetic induction equations with MacCormack II scheme for the purpose of developing a combined scheme of quick convergence as well as of TVD property. To verify the validation of the scheme, the propagation of one-dimensional MHD fast and slow shock problem is discussed with the numerical results conforming to the existing results obtained by the piece-wise parabolic method (PPM). Finally, some conclusions are made. This revised version was published online in August 2006 with corrections to the Cover Date.     

挤压油膜阻尼器的热平衡分析

利用变分有限元法对挤压油膜阻尼器（简称ＳＦＤ）的热平衡问题进行了分析计算。文中根据雷诺边界条件，通过联立求解ＳＦＤ的雷诺方程、能量方程得到了ＳＦＤ的压力分布、滑油流量等参数。为ＳＦＤ的设计与计算提供了更为可靠的理论依据。     

关于大学生人格培育的几个问题

近几年来，高校大学生中出现越来越多的问题，常常令人担忧，其中大学生人格方面尤为突出，已成为高校大学生教育的难点。本文通过凋研和评析大学生人格现状，探讨出人格培育及养成的主要途径为：关爱学生主体，教师人格影响，社会实践锤炼，规范行为养成。     

Relativistic MHD Simulations of Jets with Toroidal Magnetic Fields

This paper presents an application of the recent relativistic HLLC approximate Riemann solver by Mignone & Bodo to magnetized flows with vanishing normal component of the magnetic field. The numerical scheme is validated in two dimensions by investigating the propagation of axisymmetric jets with toroidal magnetic fields. The selected jet models show that the HLLC solver yields sharper resolution of contact and shear waves and better convergence properties over the traditional HLL approach.     

曲率和挠率对圆截面螺旋管道粘性流动的三阶作用

利用Ｇｅｒｍａｎｏ的曲线正交坐标系下的完全Ｎ－Ｓ方程,采用摄动方法求解了圆截面螺旋管道内的粘性流动,得到完全三阶摄动解,研究了曲率和挠率对二次流动和轴向速度的一阶、二阶和三阶作用。在曲率一阶项的作用下,截面上形成方面相反的两个二次涡,轴向速度最大值移向外侧;曲率的二阶项使二次涡的中心移向外侧;在曲率和挠率的高阶项（二阶和三阶）的共同作用下,靠近下半截面的涡增加,同时,二次涡的中心和轴向速度最大值移     

一种TVD方法在三维非结构网格中的应用

以三维非结构网格的显式有限体积法为基础,采用了一种TVD方法求解三维Euler方程,使用Roe通量来计算网格单元边界处的守恒量通量.为了验证方法的可行性,用该方法模拟三维爆炸问题,得出的结论是我们的方法可行,稳定且有效.     

小型固定点装置温坪性能研究

给出了锡点、锌点和铝点三个小型固定点装置的垂直温场调节方法和温坪复现方法,并对调节前后的温屏曲线进行了比较。该小型固定点装置温坪曲线特性满足现有国家计量检定规程对于检定二等标准铂电阻温度计和精密级铂电阻温度计的要求。     

大口径反射镜在平行光管中的安装方法

文章介绍了3种平行光管中大口径反射镜的安装方法，并通过力学分析进行比较，给出了各自的优缺点。     

稀疏拟谱最优控制法求解Goddard火箭问题

提出了一种新的基于直接转化法的求解基于常微分方程(ODE)和微分代数方程(DAE)的最优控制问题的数值方法.该方法通过Legendre-Gauss拟谱法同时离散化状态变量和控制变量,把最优控制问题转化为一个非线性规划问题,并利用改进的多相处理方法避免优化无控段,同时基于稀疏矩阵探索其一阶导数信息.数值结果表明,与传统的直接转换法相比,该方法是一种通用高效的精度较高的ODE/DAE最优控制直接数值求解法.最后,从工程观点出发,应用该方法成功求解了终端自由有路径约束的奇异最优控制问题Goddard火箭问题.     

改进跨音速位势方法的讨论

 简要地回顾并讨论了传统位势方法之不足。对改进传统位势方法的两种必要的修正(熵修正和涡修正)的量级在小扰动条件下作了分析和估值。结果表明涡修正是更高阶小量,因而作为第一步修正可采用非等熵位势流来近似。采用熵修正激波算子来计及非等熵的激波突跃条件,并考虑了由熵修正带来的尾迹条件的变化。算例表明非等熵位势方法能得到预期的改进位势方法的效果。