固体火箭发动机燃烧室三维流动数值计算

采用ｋε双方程湍流模型，以ＳＩＭＰＬＥ 计算程式求解翼柱型装药固体火箭发动机燃烧室内三维非定常不可压流ＮＳ 方程．在建立翼柱型装药简化模型的基础上采用边界标志法来表达燃面推移，采用从二维到三维的初场给定方法结合多重网格法求出了多个时间步的非稳态流场结构．计算结果表明燃烧室内旋涡运动呈现一定的空间与时间分布，周向加质导致燃气通道横断面上轴向速度分布的极不均衡．     

三维Euler方程组隐式LU分解的高性能并行计算

许多非定常无粘流体力学问题的数值模拟都需要利用Euler方程组来进行计算,而由于在隐格式下,所选取的时间步长可以比在显格式下时大得多,所以隐格式越来越受到重视,其中隐式LU分解是最常用的方法之一。对三维Euler方程组,采用隐式LU分解进行计算时,网格点所在的各个对角阵面之间存在数据依赖关系,本文分析了采用区域分解且边界上用显格式代替隐格式进行计算的高效性,在长方体建筑物内的爆炸模拟表明,在有112个CPU的某MPP巨型机上,并行计算效率超过60%。本文还分析了计算结果与串行计算时的差异,以及利用区域重叠减小这种差异的方法,同时考虑了对处理器进行合理的逻辑组织,将计算网格映射到处理器网格,以最大限度减少通信开销的方法。文中最后以一个爆炸毁伤的例子实际说明了所述方法的可行性与高效性。     

Friction moment analysis of space gyroscope bearing with ribbon cage under ultra-low oscillatory motion

This paper presents the model of calculating the total friction moment of space gyroscope ball bearings which usually work under ultra-low oscillatory motion and are very sensitive to the friction moment. The aim is to know the proportion of the friction moment caused by each frictional source in the bearing＇s total friction moment, which is helpful to optimize the bearing design to deduce the friction moment. In the model, the cage dynamic equations considering six degree-of-freedom and the balls dynamic equations considering two degree-of-freedom were solved.The good trends with different loads between the measured friction moments and computational results prove that the model under constant rate was validated. The computational results show that when the speed was set at 5 r/min, the bearing＇s maximum total friction moment when oscillation occurred was obviously larger than that occurred at a constant rate. At the onset of each oscillatory motion, the proportion of the friction moment caused by cage in the bearing＇s total friction moment was very high, and it increased with the increasing speed. The analyses of different cage thicknesses and different clearances between cage pocket and ball show that smaller thickness and clearance were preferred.     

曲线物面边界条件在DGM中的应用研究

基于二维非结构网格,采用高精度间断Galerkin有限元方法数值求解定常Euler方程。为了有效克服传统的反射物面边界条件在物面处易于生成伪熵降低计算精度的缺陷,提出一种曲线物面边界条件,从而实现对物理模型而不是数值模型进行数值模拟。对经典圆柱亚音速无粘绕流进行数值模拟,结果表明:采用曲线物面边界条件之后,流场解的精度得到很好的提高;此外,在非常稀疏的网格上,通过提高基函数的阶次仍可以得到高精度的数值解。     

拟压缩性方法数值模拟绕弹体的不可压缩层流脱体涡流动

本文应用在连续生方程中增加压力对时间导数项的拟压缩性方法，数值求解三维定常不可压缩Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程。数值求解过程采用隐式的Ｂｅａｍ－Ｗａｒｍｉｎｇ近似因式分解格式。计算绕尖头旋成柱体的大迎角脱体涡流动，得到与实验相符的结果。     

关于多项式系数二阶线性微分方程的可积性问题

主要探讨了实域上当ｇ（ｘ），ｈ（ｘ）是多基式，二阶变系数线性微分方程ｙ″＋ｇ（ｘ）ｙ‘＋ｈ（ｘ）ｙ＝０的可积性问题，沿袭了文」１「中算子矩阵理论的思想，得到了该方程要积的充分必要条件，且给出可积时的通解公式，并举例指出了文中「５，６」中收集的许多可积的二阶线性微分方程，其中相应的多项式系数的部分均是本文的特例。     

A FINITE ELEMENT SOLVER FOR NAVIER-STOKES EQUATIONS VIA VORTICITY AND VELOCITY

INTRODUCTIONThe stationary incompressible Navier- Stokesequations in the primitive variables( velocity uand pressure p)- vΔu + u . u + p =f . u =0u =g　inΩinΩonΓ( 1 )whereΩ is a set of R2 ,Γ its boundary,v thekinematic viscosity of the fluid,f a field of givenbody forces,and g a given field defined onΓ sa-tisfying the global conservation property∫Γg . n =0 ( 2 )n denotes the unit outer normal vector toΓ.The vorticity- velocity system of Eq.( 1 ) ,byintroducing the vorticityω…     

一类拟线性椭圆型方程分歧点的存在性

本文讨论了下面问题的分歧点的存在性：－ｐｘｉ〔（１＋｜ｕ｜２）ｐ２－１ｕｘｉ〕＝μｕ＋ｆ（ｘ，ｕ），ｘ∈ＲＮｕ（ｘ）→０，当｜ｘ｜→＋∞时，ｕ０，μ∈Ｒ１，Ｎ＞ｐ≥２｛证明了μ＝０是上述问题的分歧点。     

关于综合模态屈曲理论的研究

本文讨论了综合模态屈曲理论。该理论同时考虑多个模态及其相互作用对结构屈曲的影响,能解释以往的屈曲理论所不能解释的屈曲现象,对实践有重要的指导意义。     

Calculation of the transonic dip of airfoils using viscous-inviscid aerodynamic interaction method

A numerical procedure for the calculation of the transonic dip of airfoils in the time domain is presented. A viscous-inviscid aerodynamic interaction method is taken to calculate the unsteady aerodynamic loads. In the present case the integral boundary layer equations are coupled with the Transonic Small Disturbance (TSD) Potential Equation. The coupling between structural motion and aerodynamic loads is carried out using State Space equation. It is solved by State Transition Matrix technique. Results are presented for NACA 64A010 and NLR 7301 airfoils with structural data from Isogai and DLR, respectively. Comparisons show good agreement with other numerical results. Certain deviations of experimental data taken from literature need more insight in the detailed test conditions.