二维抛物化稳定性方程计算

针对二维抛物化稳定性方程(PSE)在法向上采用正交函数展开法进行了计算.在求解PSE的初始条件以及L0的中性曲线中应用了Chebyshev多项式展开.计算结果表明可以获得非常精确的解,证实了在PSE中应用Chebyshev多项式的有效性.     

网格拓扑对DLR-F6构型数值模拟的影响

基于TRIP3.0软件平台和多块结构网格技术,开展了控制方程和网格拓扑等因素对DLR-F6构型数值模拟的影响研究。数值计算采用与试验相同的参数,采用了RANS/TLNS方程,生成了O型和H型2种拓扑的粗、中、细网格进行模拟。分别从气动特性、压力系数分布曲线和表面流态3个方面对结果进行分析。通过与试验数据的对比表明,在模拟小分离流动时,采用H型拓扑网格和RANS方程模型,获得的计算结果会更为准确。     

非线性边界条件的Burgers－KdV方程的静态解

对几类非线性边值条件，讨论了Ｂｕｒｇｅｒｓ－ＫｄＶ方程的边值问题的静态解的存在性和解的个数．借助不动点定理，证明了该边值问题至少有一个，至多有有限个静态解．     

The use of Gaussian equations of motions of a satellite for local gravity anomaly recovery

The orbital elements of a low Earth orbiting satellite and their velocities can be used for local determination of gravity anomaly. The important issue is to find direct relations among the anomalies and these parameters. Here, a primary theoretical study is presented for this purpose. The Gaussian equations of motion of a satellite are used to develop integral formulas for recovering the gravity anomalies. The behaviour of kernels of the integrals are investigated for a two-month simulated orbit similar to that of the Gravity field and steady-state ocean circulation explorer (GOCE) mission over Fennoscandia. Numerical investigations show that the integral formulas have neither isotropic nor well-behaved kernels. In such a case, gravity anomaly recovery is not successful due to large spatial truncation error of the integral formulas. Reformulation of the problem by combining the orbital elements and their velocities leads to an integral with a well-behaved kernel which is suitable for our purpose. Also based on these combinations some general relations among the orbital elements and their velocities are obtained which can be used for validation of orbital parameters and their velocities.     

一类抛物型方程组的初边值问题

本文利用上、下解方法，讨论一类抛物型方程组的比较定理，同时讨论正则解的存在唯一性。     

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…     

嵌补式网格技术在三维增升装置绕流数值模拟中的应用

基于Jameson的有限体积方法，采用多块网格技术求解Reynolds平均N－S方程组，对三维增升装置绕流进行数值模拟。提出了新颖的嵌补式多块网格技术，使得网格生成和流场计算得到了明显的简化。计算结果与实验数据吻合良好。     

遗传算法在机翼气动优化设计中的应用

把最优化方法与机翼的气动力求解相结合,进行跨音速机翼的气动优化设计。采用最优化方法为遗传算法,机翼的气动力由三维欧拉方程的数值解来提供。与基准机翼相比较,优化设计的机翼其气动性能有较大幅度的提高,表明遗传算法在机翼优化设计中的可行性和有效性     

三维不可压边界层抛物化稳定性方程的椭圆特性研究

针对三维平行不可压边界层流动的抛物化稳定性方程,研究其剩余的椭圆特性,提出了消除该特性的具体方法,并对抛物化稳定性方程解与全椭圆问题解的一致性进行了证明。