基于格子Boltzmann方法的挤出胀大的数值模拟

将单相格子Boltzmann方法(lattice Boltzmann method, LBM)引入到粘弹流体的瞬态挤出胀大的数值模拟中,建立了基于双分布函数的自由面粘弹性流动格子Boltzmann模型．分析得到的流道中流动速度分布和构型张量结果与理论解十分吻合．对粘弹流体瞬态挤出胀大过程进行了模拟,并分析了运动粘度比和剪切速率对挤出胀大率的影响,得到的胀大率结果与理论分析和其它模拟结果基本一致．表明给出的LBM可以捕捉挤出胀大的瞬态效应．     

Parallel computation of turbulent flows using moment base lattice Boltzmann method

This paper describes parallel computing approach for simulating turbulent flows using a moment base lattice Boltzmann method. The distribution functions of the lattice Boltzmann method are expressed by corresponding moments. Choosing proper relaxation times for higher order moments, a minimum numerical dissipation is implicitly added to stabilise the method at high Reynolds numbers. Validation of the method is made by computing free decaying periodic turbulent flows and fully developed turbulent channel flows on a GPU platform. Though the present method requires additional work to calculate the higher order moments, it is shown that additional computational cost is negligible in the GPU computing. The numerical results stably obtained for the turbulent flows are in good agreement with those of a pseudo-spectral method and corresponding DNS database.     

Investigating cross-wind stability of high-speed trains with large-scale parallel CFD

ABSTRACT

The side-wind loading on a simplified train model at scale 1:25 is investigated by parallel large eddy simulation (LES) with incompressible solvers from the OpenFOAM package and a novel dynamically adaptive, parallel LES-type lattice Boltzmann method (LBM) implemented in our own AMROC framework. It is found that the new LBM code provides more accurate time-averaged force predictions, while compute times are reduced.     

Scanning Tunneling Electron Transport into a Kondo Lattice

We theoretically present the results for a scanning tunneling transport between a metallic tip and a Kondo lattice.We calculate the density of states(DOS)and the tunneling current and differential conductance(DC)under different conduction-fermion band hybridization and temperature in the Kondo lattice.It is found that the hybridization strength and temperature give asymmetric coherent peaks in the DOS separated by the Fermi energy.The corresponding current and DC intensity depend on the temperature and quantum interference effect among the c-electron and f-electron states in the Kondo lattice.     

Three-dimensional multi-relaxation-time lattice Boltzmann front-tracking method for two-phase flow

We developed a three-dimensional multi-relaxation-time lattice Boltzmann method for incompressible and immiscible two-phase flow by coupling with a front-tracking technique. The flow field was simulated by using an Eulerian grid, an adaptive unstructured triangular Lagrangian grid was applied to track explicitly the motion of the two-fluid interface, and an indicator function was introduced to update accurately the fluid properties. The surface tension was computed directly on a triangular Lagrangian grid, and then the surface tension was distributed to the background Eulerian grid. Three benchmarks of two-phase flow, including the Laplace law for a stationary drop, the oscillation of a three-dimensional ellipsoidal drop,and the drop deformation in a shear flow, were simulated to validate the present model.     

The Distributional Henstock-Kurzweil Integral and Applications: A Survey

This study presents a summary of the current state of research on the distributional Henstock-Kurzweil integral. Basic properties such as integration by parts, Hake theorem, inner product, Hölder inequality, second mean value theorem, orderings, Banach lattice, convergence theorems, fixed point theorems, are shown. This study also summarizes its applications in integral and differential equations.     

复合支护形式在高边坡加固工程中的应用

以实际工程为例,根据边坡周边环境及地形地貌,综合考虑多方因素后,采用"格构梁+长锚索+短锚杆"的复合支护形式对高边坡进行加固治理.工程实践表明,该组合加固技术既能加固深层岩体,又能浅层护坡降低工程造价,同时还能美化环境,对类似工程有一定的借鉴作用.     

关联规则挖掘的一种多剪枝概念格方法

多数据源上关联规则挖掘方法,由于各数据节点间相互通信的候选项集数目过于庞大或者挖掘过程需要对数据库进行多次扫描,导致挖掘算法效率不高。研究剪枝概念格(pruned con-cept laffice,PCL)中概念与频繁项集表示关系,定义剪枝格上的导出频繁项集,设计了一个利用多剪枝概念格从多数据源上挖掘近似所有关联规则的算法UMPCL(union algorithm of multiplepruned concept lattice)。利用一个频繁概念表示一些频繁项集以减少挖掘过程中产生的侯选项集数,使用与全局支持度相等的局部支持度对各子概念格进行剪枝,最后融合、剪枝各子剪枝格并提取全局关联规则。理论分析和实验验证表明该算法是有效的。     

格星环与格星半环

该文借鉴格环和格半环的定义,在半环,星半环的基础上,增加了一个偏序关系"≤",引入了星环、格昌环、格星半环和正星半环等定义,进一步介绍了它们的一些性质,并得到了与格环和格半环类似的几个重要命题.     

二维对流扩散方程的格子BGK模拟

用D2Q4模型给出二维对流扩散方程的带修正项的BGK型格子Boltzmann方法.数值模拟与理论结果相吻合.