随机扰动下三维流体界面不稳定性的并行计算

对三维流体界面不稳定性的数值模拟引进了新的数值计算方法,并在MPI并行计算环境下进行了数值模拟.利用LevelSet方法确定界面位置,零水平集对应界面位置.对应离散LevelSet方程和界面两侧的两套Euler方程,借助于Ghost网格方法来完成离散.对最后网格点上的两套状态量的辨认依赖于该点的LevelSet值的符号.并进行了数值计算.     

运动激波和气泡串相互作用的初步数值模拟

通过对激波和流体界面相互作用诱导的大变形界面演化的数值模拟,验证Level set方法精确模拟多个流体界面的有效性.采用2阶迎风TVD求解欧拉方程得到流场解,采用5阶WENO求解Level set方程追踪多流体界面,采用GFM方法处理流体内界面.利用文[1]的计算结果校核本文程序.在此基础上,对运动激波和气泡串相互作用过程进行了初步数值模拟,得到了不同时刻运动激波和圆管内的两个气泡作用后的演化图象,包括压力和密度等值线分布.计算结果表明:针对推广后的多界面Level set方程,该方法仍可高质量地捕捉多个流体界面.     

二维叶栅气动特性的数值分析

过去研制一种新叶型需要做大量实验以确定其安装角、ｔ／ｂ（栅距／弦长）及出口几何角的使用范围，在可使用范围内还需要确定叶栅的攻角特性。这些在热力透平机械设计过程中是不可缺少的。随着计算机的发展及叶轮机械计算流体动力学的进步，人们已经可以通过主要是数值计算的方法来获得这些特性。本文给出了分析叶栅内二维流动特性的一种数值计算方祛。作者采用压力修正ＴＶＤ格式解雷诺平均的Ｎ－Ｓ方程组，壁面的湍流效应利用低雷诺数湍流模型模拟。运用本文方法计算了跨音及亚音叶栅内的湍流流动，并获得了某新叶型的使用范围及攻角特性。     

二维欧拉多介质流体力学数值模拟-TVD＋VOF方法

用TVD格式结合VOF界面处理方法编制了二维多介质高分辨欧拉程序，以解决冲击波和多介质界面处理。程序包括单介质网格高精度流体力学计算、多介质网格内界面重构、各种介质输运和压力驰豫平衡过程。其中单介质网格的计算采用Harten二阶TVD格式结合MacCormark方法计算含有源项的非齐次守恒定律方程组，通过4节点限制函数保证格式单调。多介质网格采用Youngs方法构造界面，采用x，y方向分裂格式计算体积份额输运，再根据体积份额输运计算质量、动量和能量的输运，最后利用等熵条件计算各种介质的压力驰豫平衡过程。     

自适应多分辨率方法在反应多相流数值模拟中的应用

将自适应多分辨率方法应用到刚性气体状态方程CJ模型的数值模拟,采用多相流问题的守恒锐利界面格式,通过level-set方法和虚拟流体方法来追踪和处理界面,能够很好地处理时间尺度较大的界面交互问题.利用金字塔型数据结构和多分辨率自适应方法,提高算法的存储效率和计算效率.给出一维和二维的数值算例,证明该算法在反应多相流数值模拟中的稳定性和高效性.     

高密度比多介质可压缩流动的PPM方法

介绍一种基于流体体积分数模型的界面捕捉方法,数值模拟高密度比及含强激波的多介质可压缩流动.将PPM方法应用到多介质体积分数形式的Euler方程组,用双波近似求解一般刚性气体状态方程Riemann问题,可方便处理界面强剪切的滑移线问题,并给出了水下激波和气泡相互作用以及多相Richtmyer Meshkov不稳定性的计算结果.     

2阶精度时间后差隐式格式TVD充分条件

非定常流动问题计算中常用到含三个时间层的二阶精度时间后差隐式格式,并且希望构成TVD格式,然而理论上的问题多年一直没有解决。本文找到了解决办法,构造了这种类型的隐式TVD格式,证明了其为TVD的充分条件。理论结果为计算所验证,并表明通常未采取本文对时间差分处理方法的格式尚不具备TVD性质。     

三角形网格上多介质流动问题界面处理方法

多介质流动问题的求解一般是在结构网格上实现,而三角形网格对于复杂计算区域具有更好的适应性,本文结合rGFM方法,给出三角形网格上多介质流动问题界面处理方法.利用level-set方法跟踪界面,在界面处构造Riemann问题,得到界面处流体准确的流动状态.通过定义界面边界条件,将多介质流动问题转化为单介质流动问题,利用高精度RKDG方法求解.采用多个算例验证该方法的稳健性和有效性,结果表明该方法能准确捕捉界面和激波的位置,保持界面清晰.     

溃坝洪水长波与地面障碍物作用的数值模拟

利用ＴＶＤ差分格式设计思想，给出了一种数值求解浅水波方程的数值方法，经过数值解与精确解的比较，表明该方法很好地模拟溃坝洪水洪间断面的位置和形状。进一步对溃坝洪水水波与地面障碍物的作用进行数值模拟，得到了合理的结果。     

统一气体动理学方法研究进展

在临近空间高超声速飞行器气动载荷、航天飞行器变轨/调姿、微尺度元器件传质/传热等科学和工程实践中，存在着大量的时序多流域（多尺度）流动问题以及位于单一流场中的复杂多流域问题（局部稀薄问题），对数值预测工作提出挑战.因此，近年来从介观气体动理学基础上发展出了一大类将连续流与稀薄流进行统一计算的高效数值方法，包括确定论形式的UGKS，GKUA和DUGKS方法，以及粒子形式的USP-BGK和UGKWP方法.文章围绕着确定论和统计粒子两类统一方法的最新研究进展进行回顾和分析，重点关注在每种方法中全流域统一性质的来源与实现方式、目前已取得的关键进展以及该方法的扩展性和应用价值.      

Ghost Fluid方法与双介质可压缩流动计算

应用带有Isobaric修正的GhostFluid方法配合LevelSet方法计算可压缩双介质无粘流动.该方法可以消除计算流体界面时所产生的数值跳动和耗散,且编程上比界面跟踪法简单.应用WENO格式数值求解欧拉方程和LevelSet方程,对由刚性气体状态方程所支配的一二维双介质流动进行数值计算,得到了分辨率较高的计算结果.     

Is the axial anomaly really determined in a continuous non-perturbative regularization?

In the framework of a gauge invariant continuous and non-perturbative regularization scheme based on the smearing of point-like interactions by means of cutoff functions, we show that the axial anomaly, though cutoff independent, depends on the shape of the cutoff functions. The standard value for the strength of the axial anomaly is recovered if we assume that the regularized gauge invariant axial current is in addition local. Received: 11 July 2001 / Published online: 25 January 2002     

Smearing of the two-dimensional Kohn anomaly in a nonquantizing magnetic field: implications for interaction effects

Thermodynamic and transport characteristics of a clean two-dimensional interacting electron gas are shown to be sensitive to the weak perpendicular magnetic field even at temperatures much higher than the cyclotron energy, when the quantum oscillations are completely washed out. We demonstrate this sensitivity for two interaction-related characteristics: electron lifetime and the tunnel density of states. The origin of the sensitivity is traced to the field-induced smearing of the Kohn anomaly; this smearing is the result of curving of the semiclassical electron trajectories in magnetic field.     

Neutrino Mixing in Matter at Extreme High Energy

We have studied neutrino mixing at extreme high energy considering two flavour framework with matter effects. We analyze the atmospheric neutrino data within the simplest scheme of two neutrino oscillation. We consider as special case of matter density profile, which are relevant for neutrino oscillations. In particular, we compute to constrain a specific from of neutrino mass square difference and mixing in extreme high energy in matter. The dispersion relation for the neutrino mixing in neutrino oscillation in matter are discussed.     

Double crystal spectrometer with relatively high vertical divergence and instrumental distortion of X-ray spectra

The problem of vertical divergence on the double-crystal spectrometer is treated, both theoretically and experimentally. It is shown that, even in the case of finite vertical divergence, one may get the resulting profile of the measured spectral line as a convolution of the true spectral line and the instrumental smearing function. The general method of calculating this smearing function is given. Further, the influence of the vertical divergence is separated, and some general features are derived.In the experimental part, a double-crystal spectrometer for the fluorescent method of excitation and the precise adjustment of the instrument is described in detail.The theoretical formulas concerning instrumental smearing, the dependence of the peak intensity and the shift of the maximum on the vertical divergence are verified experimentally.     

Impurity absorption of light in structures with quantum dots

The impurity absorption of light in a quantum dot with a parabolic potential profile is considered within the framework of the model of a zero radius potential in the effective mass approximation. The sensitivity of the effect of position disorder to the size factor at the transition from a quantum well to a quantum dot is revealed. The spectral dependence of the coefficient of impurity absorption of light is investigated with account of the spread in size of quantum dots. It is shown that the account of spread in size results in smearing of discrete absorption lines. The impurity absorption edge depends on the parameters of quantum dots and the depth of the impurity level.     

Thermal light subwavelength diffraction using positive and negative correlations

Ghost imaging and diffraction, inspired by the Hanbury Brown and Twiss effect, have potential in both classical and quantum optics regimes on account of their nonlocal characteristics and subwavelength resolution capabil?ity, and therefore have aroused particular interest. By extending the correspondence imaging scheme, we utilize the positive and negative intensity correlations in diffraction and perform subwavelength diffraction with pseudo-thermal light. In the experiment, a subwavelength(A/2) resolution and a better signal-to-noise ratio(10.3% improvement) are simultaneously achieved. The scheme can be utilized as a complement to the existing ghost imaging scheme to improve image quality.     

Effect of Gaussian references on cross-talk noise reduction in volume holographic memory

We propose and analyze a novel recording and reading scheme for cross-talk noise reduction in volume holographic data storage. Each hologram is recorded with a slightly focused Gaussian reference beam and can be read out by use of the same Gaussian reference. The waist of the reference Gaussian profile can be adjusted based on the required signal-noise ratio and the storage density. Simulation results show the reduced cross-talk noise yielded by the proposed scheme.     

The effect of hydrogen in solid solution on the magnetic transitions in thulium

The influence of hydrogen on the magnetic structures in thulium was determined by measuring the temperature dependence of the electrical resistivity up to 75 K. The H acts by lowering the Neel temperature and the spin-disorder resistivity, by smearing out the manifestation of the Curie temperature, and by revealing additional magnetic transitions below T_C. This behaviour and the observation of an energy gap in the spin-wave spectrum are commented within the framework of the RKKY-model.