一类拟线性椭圆型方程的CHOQUARD-PEKAR问题

讨论了一类拟线性椭圆型方程的CHOQUARD-PEKAR问题在无界区域中的非平凡解的存在性,对于极小问题Iλ和I∞λ,得到了对于每个λ0,存在α∈(0,λ],使得Iα和I∞α可以达到.     

非结构网格二维理想MHD绕流逆风格式解法

在非结构网格上发展了针对二维理想磁流体方程组的逆风格式求解方法.控制方程中的对流项采用AUSM格式处理,时间推进采用显式5步龙格-库塔方法.为了消除计算中产生的磁场散度的影响,引入了双曲型散度清除方法.通过对磁流体激波管问题的求解验证了该方法对激波的捕捉能力,对有均匀磁场干扰下的喷管流动情况进行了数值模拟,并与文献中结果进行了对比.计算结果显示了磁场对磁流体流动的干扰效应,该结果与参考文献中的数值模拟结果相吻合.     

交会对接绕飞段双冲量控制方法研究

在设计交会对接绕飞段的制导方案时,除考虑燃耗因素外,轨迹安全性设计指标也应予以满足。本文基于C-W方程的经典双冲量控制策略应用于绕飞段,在以往固定时间的双冲量控制研究的基础上,分别以燃耗、轨迹被动安全性、任务恢复执行能力和初始状态偏差作为独立约束条件,利用MATLAB计算机寻优,得到逐个独立约束下的控制时间的范围,同时采取逐层缩小的方式,最终获得了满足绕飞段轨迹安全性的设计要求以及满足多种约束条件的一种可以作为绕飞段优选的控制策略的双冲量控制方法。     

基于非结构重叠网格的二维N-S方程求解与应用研究

本文发展了非结构重叠网格技术.通过构造任意单元类型网格重叠的网格间边界确定算法、宿主单元搜索算法以及网格间插值算法,把非结构重叠网格推广应用于求解NS方程,并结合湍流模型模拟二维湍流流场.N-S方程的求解采用有限体积法,通量计算采用Osher格式,湍流模型采用SA模型.为验证本文方法的正确性和有效性,模拟了RAE2822翼型和某三段翼型绕流湍流流场,结果表明采用非结构重叠网格模拟复杂外形湍流流场不但网格生成效率高,而且容易推广应用于具有相对运动的非定常问题,具有较高的工程应用价值.     

几何代数域内的光流场改进算法

提山了一种新的光流场计算方法：首先,在几何代数域内推导了光流约束方程的新形式;然后,在速度场平滑的基础上,通过求解关于初值问题的热传导方程求解光流场;最后,给出光流场的数值解和仿真结果。实验证明此方法是有效的。     

基于遗传算法的旋转机翼飞机机翼优化设计

将基于实数编码的遗传算法与能准确描述翼型粘性流动的NS方程以及旋翼气动分析模型结合起来,以旋翼最大悬停效率作为优化设计的目标对旋转机翼飞机的机翼进行优化设计,设计结果表明通过优化设计旋翼的气动性能得到了提高,达到了优化设计的目的,旋翼优化设计方法是可行的.     

多传感器组合导航系统的改进多尺度滤波算法

多尺度滤波算法在多传感器组合导航系统中已得到成功应用，然而该算法用到多个时刻的量测向量，导致算法计算量过大，并影响系统的实时性。针对上述问题，首先利用分块技术与小波变换将时域内描述的系统原始状态方程转换为块状态方程，然后将实时得到的当前时刻的量测向量表达为块状态向量的形式，最后结合常规卡尔曼滤波技术与序贯滤波的思想，提出了一种改进的多传感器组合导航系统多尺度滤波方法。将该算法应用于GPS/SST/SINS多传感器组合导航系统，仿真结果验证了该算法不仅具有较好的实时性，而且相对于传统算法,系统的定位精度提高1倍以上。     

Super rogue wave catalysis in Titan’s ionosphere

Super rogue ion-acoustic waves are proposed as a physical catalyst for the heavy hydrocarbon ions formation in the Titan ionosphere. We justified that analytically and numerically by probing a Titan referenced plasma system, consists of the most abundant positive ions and superthermal electrons. A solution of the nonlinear Schrödinger equation (NLSE) has provided us by the plasma (un) stable regions at altitude 900–1200 km from the Titan surface with superthermal parameter values, relative ion to electron densities, and temperature ratio variations. Our results are not only agreed with the Cassini data but also predict a chemistry independent approach for the heavy hydrocarbons’ formation conditions.     

Comparison of convergence time and positioning accuracy among BDS,GPS and BDS/GPS precise point positioning with ambiguity resolution

Precise point positioning (PPP) usually takes about 30?min to obtain centimetre-level accuracy, which greatly limits its application. To address the drawbacks of convergence speed and positioning accuracy, we develop a PPP model with integrated GPS and BDS observations. Based on the method, stations with global coverage are selected to estimate the fractional cycle bias (FCB) of GPS and BDS. The short-term and long-term time series of wide-lane (WL) FCB, and the single day change of narrow-lane (NL) FCB are analysed. It is found that the range of GPS and BDS non-GEO (IGSO and MEO) WL FCB is stable at up to a 30-day-time frame. At times frame of up to 60?days, the stability is reduced a lot. Whether for short-term or long-term, the changes in the BDS GEO WL FCB are large. Moreover, BDS FCB sometimes undergoes a sudden jump. Besides, 17 and 10 stations were used respectively to investigate the convergence speed and positioning errors with six strategies: BDS ambiguity-float PPP (Bfloat), GPS ambiguity-float PPP (Gfloat), BDS/GPS ambiguity-float PPP (BGfloat), BDS ambiguity-fixed PPP (Bfix), GPS ambiguity-fixed (Gfix), and BDS/GPS ambiguity-fixed (BGfix). The average convergence speed of the ambiguity-fixed solution is greatly improved compared with the ambiguity-float solution. In terms of the average convergence time, the Bfloat is the longest and the BGfix is the shortest among these six strategies. Whether for ambiguity-float PPP or ambiguity-fixed PPP, the convergence reduction time in three directions for the combined system is the largest compared with the single BDS. The average RMS value of the Bfix in three directions (easting (E), northing (N), and up (U)) are 2.0?cm, 1.5?cm, and 5.9?cm respectively, while those of the Gfix are 0.8?cm, 0.5?cm, and 1.7?cm. Compared with single system, the BDS/GPS combined ambiguity-fixed system (BGfix) has the fastest convergence speed and the highest accuracy, with average RMS as 0.7?cm, 0.5?cm, and 1.9?cm for the E, N, U components, respectively.     

石油钻井井身轨道设计的优化计算方法

在井眼轨道设计中．假设井眼轨道上的每一段都是空间平面圆弧或直线段，相互之间在连接处相切。根据这一假设，建立了描述井眼参数之间相互关系的非线性方程组，并采用数值优化理论求解非线性方程组的方法来进行井身轨道参数的数值计算。