广义特征坐标系计算膨胀波与激波优越性的数值验证

最近提出的以流体速度和声速的线性组合为速度而运动的广义特征坐标系,是-个更为-般的坐标系统,当参数取不同特殊值的时候,就可以得到其他经典的坐标系统.这种坐标系的最大特点是,它能跟随膨胀波(当然也可以跟随激波和接触间断)运动,从而在使用同-计算格式的前提下,使得膨胀波的计算精度更高.对膨胀波和激波进行数值试验,结果显示广义特征坐标系在计算膨胀波和激波时明显优于传统的坐标系.     

轴对称可压缩流的统一坐标系

将Hui等人提出的统一坐标系推广到轴对称欧拉方程,讨论统一坐标系下的轴对称欧拉方程的解法,并通过数值算例证明轴对称统一坐标系的优越性.     

N-S方程隐式分区并行计算

将Wu Z N和Zou H提出的一套适合三点块三对角隐式格式的定常和非定常可压无粘流的覆盖分区并行计算方法推广到N-S方程的计算.在二维定常亚音速、跨音速和非定常情况下都得到了较好的绝对并行效率.     

可压流几何分区计算

综合讨论计算流体力学可压流几何分区计算,以期对分区算法的选择与正确使用提供一些指导,所涉及的重要问题有,分区网格的构造、耦合条件的建立、各种理论问题（守恒性,稳定性,收敛性,解的唯一性等）的分析、综合讨论等．      

NS方程的各向异性笛卡尔网格法研究

将近年发展起来的用于Euler方程求解的具有局部均匀网格总体非结构特性的笛卡尔网格法推广到NS方程的求解。为了与流场的各向异性相适应、减少网格点数量,提出了一种各向异性网格加密法。另外还研究了分级笛卡尔网格对内点格式稳定性的影响和插值固体边界条件的稳定性。数值结果表明各向异性笛卡尔网格法相对于传统的各向同性网格方法能大量节省网格点数量而且与后者具有同样的精度。     

Symmetric mode instability of the slipflow model for flows in a microchannel with a vanishing Reynolds number

The slipflow model is usually used to study microflows when the Knudsen number lies between 0.01 and 0.1. The instability due to microscale effect seems to have never been studied before. In this paper we present preliminary results for the instability (not physical instability) of this model when applied to microchannel flow with a vanishing Reynolds number. The present paper is restricted to symmetrical mode. Both first-order and second-order slip boundary conditions will be considered. The project supported by the National Natural Science Foundation of China (10025210) and Tsinghua Project for Basic Research (2002)     

Velocity in a liquid subjected to a shear force at the liquid surface with a receding velocity

The development of the Stokes layer in a liquid subjected to a constant shear force at the liquid surface with mass erosion is studied in this paper. It is shown that the velocity in the Stokes layer is weakened by surface receding and the relative decrease of the maximal liquid velocity due to surface recession is a unique function of the time normalized by the recession/diffusion balance time scale, defined as the ratio between the kinematic viscosity and the square of the receding velocity. At a time much larger than the diffusion/recession balance time scale, the role of the surface receding is rather important: instead of being pushed into the liquid at the receding velocity, the development of the Stokes layer is effectively prohibited by surface receding. The project supported by the National Natural Science Foundation of China (10025210) and the China NKBRSF project (2001CB409600)     

流体力学分区算法及相关理论问题

分区计算是计算流体力学中处理复杂几何区域、多块物体相互运动和进行并行计算的一类重要方法.对分区算法、相关理论问题和一些数值现象进行了综述.     

有限雷诺数情况下微槽道可压缩流动滑移流模型稳定性的数值模似

通过对微槽道一阶滑移流模型稳定性的理论研究，发现在不可压缩流和雷诺数趋于零的情况下，当Knudsen数Kn大于1／9时，会出现不稳定现象．这一理论结论在可压缩流和有限雷诺数情况下是否成立，尚不清楚，采用成熟的计算方法，用数值计算来研究可压缩流和有限雷诺数情况下一阶滑移流模型的稳定性，发现随着雷诺数的减小，不稳定的临界Knudsen数也不断减小，逐渐趋近于在不可压缩流和雷诺数趋于零的情况下得到的理论分析结果。     

可压缩流计算的九分笛卡尔网格技术

简要介绍了一种新的二维网格技术——九分笛卡尔网格技术.与传统方法将一个网格等分为4个不一样,该方法将一个网格单元等分为9个.同时考虑各向同性和各向异性加密,能够对激波和壁面附近进行快速加密,并且有效节省了网格点数目.用此方法计算了单个翼型、多个翼型及直管道下壁面带凸包的无粘带激波的流动.