基于非结构重叠网格的二维外挂物投放模拟

本文发展了基于非结构重叠网格的动态网格技术,并提出了新的相邻单元搜索算法。非结构重叠网格集非结构网格和重叠网格的优点于一身,适合处理复杂外形和多体相对运动问题。新的相邻单元搜索算法在碰到物面时能继续搜索下去,搜索效率大大提高。非定常Euler方程的求解,采用有限体积法,时间上采用双时间步长推进。为验证算法的有效性,先对绕振荡NACA0012翼形的流动进行了模拟;然后通过耦合求解刚体三自由度运动方程,模拟了二维外挂物投放过程,结果表明非结构重叠网格在处理多体相对问题时具有优越性。     

双曲守恒型方程的二阶摄动有限差分格式

对双曲守恒型方程，将其一阶迎风格式空间差商的常系数摄动展开为时间步长和空间步长的幂级数，通过确定幂级数系数而获得二阶精度的摄动有限差分(PFD)格式。进而从双曲守恒型方程的通量分裂型一阶迎风格式出发，通过类似的摄动展开方法，获得空间精度为二阶的通量分裂形式的摄动有限差分(FPFD)格式。这两类格式保留了一阶守恒迎风格式的简洁结构形式，使用三节点即可达到二阶精度，又避免了三点二阶格式的非物理数值振荡。并将这两类格式推广应用到双曲守恒型方程组，最后通过模型方程和一维激波管流动的数值算例验证了格式的高精度、高分辨率性质。     

旋转坐标系下三维MUSCL格式的构成

MUSCL格式是近年来新发展的许多高分辨率格式之一，但直接将该格式应用到旋转坐标系时，会使计算发散或得到非物理解，不能计算旋转机械的内部流场。本文在原有MUSCL格式的基础上，根据旋转坐标系下雷诺平均N－S方程，重新构成了MUSCL格式，并且与原有MUSCL格式进行了比较，分析了两者相同与不同之处，利用该格式对两个典型算例（旋转直管和跨音速压气机）进行了计算，通过与试验结果对比表明，重新构成的MUSCL格式能够计算包括跨音速气机在内的复杂旋转机械流场，从而扩展了MUSCL格式的应用范围。     

实双对称矩阵的特征值问题及其反问题的降阶法

本文将实双对称矩阵的特征值问题化为阶数减半的实对称矩阵的特征值问题。并利用这个结果来求解斜对称Jacobi矩阵的特征值反问题,即构造一个斜对称Jacobi矩阵A,使之具有预先指定的特征值{λ_i}_(i=1)~n或预先指定的特征对(λ_1,x_1)和(λ_2,x_2)。     

平面斜边界问题的边界元分析

本文对处理斜边界问题的边界元法的方程进行了推导和分析,通过引入局部坐标系,建立局部坐标与总坐标间的变换关系,使边界元法在处理结构斜边界问题中更为简捷方便。通过几个算例及某发动机叶片燕尾形榫头的应力分析,证明结果是令人满意的,尤其在计算边界应力时,边界元法比有限元法更为精确。     

关于矩阵方程AX-XB=C的解

本文导出了矩阵方程AX-XB=C的解的有限代数表达式,在此基础上,给出了一种新的直接的算法。     

对称矩阵反问题解的稳定性

考虑如下对称矩阵反问题：问题Ⅰ：给定Ｘ，Ｂ∈Ｒ（ｎ×ｎ），求Ａ∈ＳＲ（ｎ×ｎ）使得ＡＸ＝Ｂ，其中ＳＲ（ｎ×ｎ）＝｛｛Ａ｜Ａ∈Ｒ（ｎ×ｎ），ＡＴ＝Ａ｝。问题Ⅱ：给定，求使得其中是矩阵的Ｆｒｏｂｅｎｉｕｓ范数，ＳＡ表示问题Ⅰ的解集合。本文讨论问题Ⅰ解的稳定性，给出问题Ⅱ解的扰动界。     

计算空气动力学的三维流场可视化

本文介绍了一个用于计算空气动力学三维流场可视化的软件系统,它包括复杂的计算网格显示、几何外形显示、流线显示、迹线显示和各种物理量的等值线显示等几个子模块,该系统在先进的图形工作站上研制,具有良好的用户接口,能很好地描述气动力计算中随时间和空间变化的物理现象。     

A combined application of micro-vortex generator and boundary layer suction in a high-load compressor cascade

In the current study, the effects of a combined application between micro-vortex generator and boundary layer suction on the flow characteristics of a high-load compressor cascade are investigated. The micro-vortex generator with a special configuration and the longitudinal suction slot are adopted. The calculated results show that a reverse flow region, which is considered the main reason for occurring stall at 7.9° incidence, grows and collapses rapidly near the leading edge and leads to two critical points occurring on the end-wall with the increasing incidence in the baseline. As the micro-vortex generator is introduced in the baseline cascade, the corner separation is switched to a trailing edge separation by the thrust from the induced vortex. Meanwhile, the occurrence of failure is delayed due to the mixed low energy fluid and main flow. The synergistic effects between the micro-vortex generator and the boundary layer suction on the performance of the cascade are superior to the baseline at all the incidence conditions before the occurrence of failure, and the sudden deterioration of the cascade occurs at 10.3° incidence. The optimal results show that the farther upstream suction position, the lower total pressure loss of the cascade with vortex generator at the near stall condition. Moreover, the induced vortex with a leg can migrate the accumulated low energy fluid backward to delay the occurrence of stall.     

Modeling PSBL high speed ion beams observed by Cluster and Double Star

On October 8, 2004, the Cluster and Double Star spacecraft crossed the near-Earth (12–19 R_E) magnetotail neutral sheet during the recovery phase of a small, isolated substorm. Although they were separated in distance by ∼7 R_E and in time by ∼30 min, both Cluster and Double Star observed steady, but highly structured Earthward moving >1000 km/s high speed H⁺ beams in the PSBL. This paper utilizes a global magnetohydrodynamic (MHD) simulation driven by Wind spacecraft solar wind input to model the large-scale structure of the PSBL and large-scale kinetic (LSK) particle tracing calculations to investigate the similarities and differences in the properties of the observed beams. This study finds that the large-scale shape of the PSBL is determined by the MHD configuration. On smaller scales, the LSK calculations, in good qualitative agreement with both Cluster and Double Star observations, demonstrated that the PSBL is highly structured in both time and space, on time intervals of less than 2 min, and spatial distances of the order of 0.2–0.5 R_E. This picture of the PSBL is different from the ordered and structured region previously reported in observations.