Grey Self-similar Solitary Waves in Inhomogeneous Nonlinear Media

This paper analyzes spatial grey self-similar solitary waves propagation and collision in graded-index nonlinear waveguide amplifiers with self-focusing and self-defocusing Kerr nonlinearities. New exact self-similar solutions are found using a novel transformation and their main features are investigated by using direct computer simulations.     

KdV Equation with Self-consistent Sources in Non-uniform Media

Two non-isospectral KdV equations with self-consistent sources are derived. Gauge transformation between the first non-isospectral KdV equation with self-consistent sources （corresponding to λt = -2aA） and its isospectral counterpart is given, from which exact solutions for the first non-isospectral KdV equation with self-consistent sources is easily listed. Besides, the soliton solutions for the two equations are obtained by means of Hirota＇s method and Wronskian technique, respectively. Meanwhile, the dynamical properties for these solutions are investigated.     

Minimax principle on energy dissipation of incompressible shear flow

The energy dissipation rate is an important concept in the theory of turbulence. Doering-Constantin＇s variational principle characterizes the upper bounds （maxi- mum） of the time-averaged rate of viscous energy dissipation. In the present study, an optimization theoretical point of view was adopted to recast Doering-Constantin＇s formu- lation into a minimax principle for the energy dissipation of an incompressible shear flow. Then, the Kakutani minimax theorem in the game theory is applied to obtain a set of conditions, under which the maximization and the minimization in the minimax principle are commutative. The results explain the spectral constraint of Doering-Constantin, and confirm the equivalence between Doering-Constantin＇s variational principle and Howard- Busse＇s statistical turbulence theory.     

温度梯度水分扩散对双重孔隙岩体中THM耦合影响的有限元分析

建立了一种饱和-非饱和遍有节理岩体的双重孔隙-裂隙介质热-水-应力耦合模型,并研制出相应的二维有限元程序.通过一个假定的位于非饱和双重孔隙-裂隙岩体中的高放废物地质处置库算例,就温度梯度水分扩散系数不同的三种工况,考察了岩体中的温度、孔隙水压力、饱和度、地下水流速和主应力的变化、分布情况.结果显示:各工况计算域中温度场及应力场基本相同,当岩体温度梯度水分扩散系数较大时,近场的负孔隙水压力上升到很高的数值,负裂隙水压力有所下降,饱和度亦有相应的变化,当温度梯度水分扩散系数小到一定程度后,其影响也将逐渐消失.     

Experimental study on correlation between turbulence and sound in a subsonic wind tunnel

In this paper, the effects of turbulence on sound generation and velocity fluctuations due to pressure waves in a large subsonic wind tunnel are studied. A trip strip located at different positions in the contraction part or at one position in the diffuser of a large wind tunnel is used to investigate the aforementioned phenomenon, and the results indicate that the trip strip has significant effects on sound reduction. The lowest turbulence intensity and sound are obtained from a trip strip with a diameter of 0.91 mm located either at X/L = 0.79 or at X/L = 0.115 in the wide portion of the contraction. Furthermore, the effect of monopole, dipole and quadrupole sources of aerodynamic noise at different velocities is investigated, and it is demonstrated that the contribution of the monopole is dominant, while the shares due to the dipole and quadrupole remain less important. In addition, it is found that the sound waves have a modest impact on the measured longitudinal turbulence and are generated essentially by eddies.     

耦合界面计算格式的一维流体力学Lagrange有限点方法

为探索高维多介质流体力学散乱点集上的Lagrange有限点方法,首先对相应一维问题进行研究,提出一种Lagrange有限点方法:在计算区域内(包括物质界面)设置任意离散点集,所有力学量都设在该点集上,在内点和界面点上分别建立离散格式.内点算法为基于Taylor展开的差分方法.界面点算法为显式追踪算法,从定解条件出发,利用Rankine-Hugoniot关系和特征差分方法,计算界面点位置及相应的状态量变化.通过追踪界面点的运动得到物质界面是方法的最大特色.典型算例计算结果与精确解符合很好,验证了算法的合理和有效性.     

壁湍流多尺度相干结构复涡黏模型的实验研究

在湍流相干结构动力学方程中,非相干结构成分对相干结构贡献的雷诺应力的模型为涡黏性模型,即涡黏性系数乘以相干结构平均速度变形率的形式.基于非相干结构成分对相干结构贡献的雷诺应力与相干结构速度变形率之间存在相位差的事实,在理论上提出了非相干结构成分对相干结构贡献的雷诺应力复涡黏性模型的假设.应用热线测速技术,在低速风洞中对湍流边界层非相干结构成分对相干结构贡献的雷诺应力与相干结构法向速度变形率之间的相位关系进行了实验测量.通过分析湍流相干结构猝发过程中非相干结构成分对相干结构贡献的雷诺应力与相干结构速度变形率之间的相位关系,研究了相干结构雷诺应力分量与流向速度法向梯度之间的相位差沿湍流边界层法向的变化规律,肯定了湍流相干结构复涡黏性系数模型的合理性.     

基于level set的Eulerian-Lagrangian耦合方法及其应用

提出了一种基于水平集的Eulerian-Lagrangian耦合方法,其中Lagrangian方法采用相容显式有限元拉氏方法,Eulerian方法采用基于近似Riemann解的有限体积Eulerian方法,多介质界面处理采用新的水平集和Ghost方法计算. 给出了若干数值算例,包括激波管问题以及金属和气体的运动界面及其大变形问题,并分别与精确解和相容显式有限元拉氏方法的计算结果进行了对比. 数值结果表明,该方法计算结果正确,精度较高,能够准确捕捉物质界面,适用于处理大变形问题.      

GENERALIZED REVERBERATION MATRIX FORMULATION FOR WAVE PROPAGATION IN MULTILAYERED MEDIUM

<正>Generalized reverberation matrix(GRM)formulation is presented to investigate elastic wave propagation in a complex multilayered solid by the combination of reverberation-ray matrix(RRM)method and stiffness matrix(SM)method.RRM method formulates a reverberation matrix,which reflects the reflection or refraction of the elastic waves in the multilayered solid.However,the dimension of RRM increases as the sublayer number increases,which may result in lower calculation efficiency of the generalized rays.SM formulation yields a system matrix of the constant dimension to promise higher calculation efficiency,but it is difficult to identify the generalized rays.In order to calculate the generalized rays in the complex multi-layered solid efficiently,the RRM formulation is applied to the interested sublayer for the evaluation of the generalized rays and SM formulation to the other sublayers,to construct a generalized reverberation matrix of the constant dimension,which is independent of the sublayer number.Numerical examples show that GRM formulation has higher calculation efficiency for the generalized rays in the complex multilayered-solid configuration compared with RRM formulation.     

上海世博会气象馆平均风压数值模拟研究

采用数值模拟方法对上海世博会气象馆进行了平均风压数值模拟,比较了4种较适合于结构风工程的RNG k-ε,SST-k-ω,SSG-RSM和BSL-RSM湍流物理模型,包括体型系数、表面合力、合力矩及湍动能结果,同时结合风流动特性分析了其规律性和差别的原因,并得到SST-k-ω,BSL-RSM与SSG-RSM模型各有优势,而RNG k-ε模型稍差的结论.最后研究了有无干扰情况下的场馆表面平均风压系数,分析了风干扰的原因.