XNAV中的相对论效应(II)——光线弯曲和引力延缓

详细讨论了XNAV基本方程中的广义相对论效应之一:脉冲星到观测者的光线弯曲和传播时间的引力延缓。计算出1PN度规下的光线弯曲轨迹和时间延缓以及2PN度规下的引力延缓,文中得到的结论是对现行公式的修正。     

虚拟战场中坦克的快速碰撞检测算法

为了使虚拟战场中的坦克仿真运动有较高的真实性,必须处理坦克与场景中的物体及地形的碰撞问题。提出了碰撞检测的简化包围盒算法及地形匹配算法,分别解决这两种碰撞问题。在地形匹配算法中,依据地形平均曲率划定地形范围,地形平缓的地带采用两点匹配法,变化较为剧烈的地带采用三点匹配法。这两种简化的处理方法降低了系统的计算要求,满足了系统仿真的真实性需求。     

一类带配送中心运输问题的容量扩张模型研究

运输问题一般采用表上作业法来解决,考虑一类带配送中心的运输问题,若仍采用表上作业法,会使问题复杂化.文中采用一种构造辅助网络的方法:在运输网络中将每个配送中心均拆分成两个点,连接两点形成新弧,构造出新的网络,并给每条弧赋予参数,将此类运输问题转换为最小费用流模型来解决,可以使问题模型和运算简单化.在此基础上,考虑运输网络中配送中心和边的容量扩张问题.     

磁悬挂天平偏航电磁场的二维有限元分析

在磁悬挂天平偏航控制中,偏航线圈中的电流变化对模型姿态变化影响十分显著.为了提高天平的偏航控制精度,有必要对天平偏航电磁场进行更为精确的分析.该文采用有限单元法对磁悬挂天平偏航电磁场进行了分析,得到了比传统计算方法更为准确的结果,并在实验中进行了验证,从而为磁悬挂天平的偏航控制提供了参考.     

Simulation of the plasticizing behavior of composite modified double-base (CMDB) propellant in grooved calendar based on adaptive grid technology

The frequent occurrence of safety accidents during the calendering process is caused by the flammable and explosive properties of composite modified double-base (CMDB) propellant. Optimization of process parameters with the aid of fluid simulation technology could effectively ensure the safety of the calendering process. To improve the accuracy of the simulation results, material parameters and model structure were corrected based on actual conditions, and adaptive grid technology was applied in the local mesh refinement. In addition, the rheological behavior, motion trajectories and heat transfer mechanisms of CMDB propellant slurry were studied with different gaps, rotational rates and temperatures of two rollers. The results indicated that the refined mesh could significantly improve the contour clarity of boundaries and simulate the characteristics of CMDB propellant slurry reflux movement caused by the convergent flow near the outlet. Compared with the gap, the increased rotational rate of roller could promote the reflux movement and intensify the shear flow of slurry inside the flow region by viscous shear dragging. Meanwhile, under the synergistic effect of contact heat transfer as well as convective heat exchange, heat accumulated near the outlet and diffused along the reflux movement, which led to the countercurrent heat dissipation behavior of CMDB propellant slurry. The plasticizing mechanism of slurry and the safety of calendering under different conditions were explored, which provided theoretical guidance and reference data for the optimization of calendering process conditions. Based on the simulation results, the safety of the CMDB propellant calendering process could be significantly improved with a few tests conducted during a short research and development cycle.     

非定常超音速流动数值计算方法比较

为适用于非定常流场计算 ,在保证时、空二阶精度的前提下 ,通过引入变系数残值光顺技术 ,提高了四步Runge Kutta方法的计算效率 ;并针对球锥简谐振动过程 ,数值比较Runge Kutta多步法和“双时间法”的计算精度。     

等离子体粒子模拟中的电磁场边界条件

针对等离子体粒子模拟中电磁场边界条件的选取问题 ,对简单吸收边界条件、Lindman边界条件、超吸收边界条件等进行了详细的讨论。结果表明 ,简单吸收边界条件计算量最小、误差最大 ,超吸收边界条件计算量最大、误差最小 ,Lindman边界条件误差较小且其反射系数对入射角的依赖性不大     

用多重网格TVD方法求解三维高超音速粘性流场

本文采用时间相关法求解了三维Ｎ－Ｓ方程。在计算中，对于压力和对流项采用Ｒｏｅ的通量差分分裂技术和Ｏｓｈｅｒ－Ｃｈａｋｒａｖａｒｔｈｙ的ＴＶＤ格式，对于粘性项，采用了中心差分格式。通过数值模拟得到了钝头双锥体高超音速层流流场在不同攻角下的数值解。计算的重点放在壁面热流率的预测。在攻角为４°和１２°的状态下，Ｓｔａｎｔｏｎ数的计算值与实验值进行了比较，二者吻合较好。为了加快收敛速率，计算时采用了多重网格方法。     

用数域筛法分解大整数

随着Ｆｅｒｍａｔ数Ｆ７和Ｆ９被分解，一个新的算法被提了出来，那就是Ｊ．Ｐｏｌａｒｄ提出的“数域筛法”（ＮＦＳ）．Ａ．Ｋ．Ｌｅｎｓｔｒａ等人对数域筛法进行了深入的研究，已经使数域筛法从原来对一些特殊整数的分解发展到对一般整数的分解。本文试图对数域筛法理论及其运行作简要的论述。