谱方法与开路边条件

谱方法精度较高,开路边条件能保证出了计算区域的波不再回来.但谱方法对边条件的限制较多,一般不允许开路边条件.为统一两者,本文进行了特殊处理.试算的结果表明,方法是有效的.     

创新与构思——————力学小议之二

 以亲身经历对力学提出看法:试验愈来愈精细, 规模愈来愈小; 计算愈来愈精细, 规模愈来愈大. 建议加强数值模拟人才的培养.     

Bingham流体在旋转圆盘上流动的数值解

导出了描述Ｂｉｎｇｈａｍ流体在旋转圆盘上流动的基本方程，用差分方法数值解薄膜厚度分布方程，得到二种类型的厚度分布。数值解分别和计算机磁盘的厚度分布，Ｊｅｎｅｋｈｅ等的实验结果定性一致。     

AN ANALYTIC SOLUTION ON HYPERSONIC FLOW OVER AN ARBTTRARY SLENDER BODY WITH NEAR POWER-LAW PROFILE

On the basis of a self-similar solution as well as of the assumption of the“TransverseMotion”.a general linear theory on hypersonic flow over a general slender body in set up inthis paper,By means of this theory,the problem concerned can be put into a universalsystem of O.D.Eqs.which can be integrated numerically in advance.     

A hybrid fem algorithm for fluid flow in a visco-elastic pipe

A variational principle of hybrid FEM is proposed to solve the flow in a visco-elastic pipe. As an example, the influence of an axisymmetrical stenosis on an artery vibrating flow with a single frequency is calculated.     

An analytic solution on hypersonic flow over an arbitrary slender body with near power-law profile

On the basis of a self-similar solution as well as of the assumption of the Transverse Motion a general linear theory on hypersonic flow over a general slender body is set up in this paper. By means of this theory, the problem concerned can be put into a universal system of O.D.Eqs. which can be integrated numerically in advance.     

轴对称低雷诺数空塞流动的有限元解法

管道中的空塞流动问题,由于其自由面上边界条件的非线性性质,使问题的求解困难很大。本文用罚函数有限元方法,数值计算了无重力的低雷诺数空塞流动问题。对非线性的自由面边界条件,本文采用了一种基于流线的迭代方法。数值计算的结果与实验相吻合,且收敛速度较快。     

Marangoni效应下的液桥自由面

改进Ｏｓｈｅｒ的ＬｅｖｅｌＳｅｔ方法用来计算考虑Ｍａｒａｎｇｏｎｉ效应的液桥自由面及内部的涡流．提出以双调和函数来作为Ｌｅｖｅｌ函数,从而避免了它们的奇性．求出的自由面的波纹形状以及二次涡远比简化算法所得要小．     

剪切壁流有旁支管道及一小球时的流动计算

本文研究了旁支管道附近的剪切流场变化；计算时考虑到小球的存在．本文采用了《有限元程序自动生成系统》，整个计算所用工作量极少．     

有限水深中的极限非线性波

本文用参数优化方法.计算出有限水深中的极限Stokes波.计算的精度高,效率也高.从而进一步证明了用优化手段求stokes波动解里的待定系数是一个合理的、行之有效的方法.