Numerical analysis for the mixed Navier–Stokes and Darcy Problem with the Beavers–Joseph interface condition

In this article, we consider the coupled Navier–Stokes and Darcy problem with the Beavers–Joseph interface condition. With suitable restrictions of physical parameters α and ν, we prove the existence and local uniqueness of a weak solution. Then we propose a coupled finite element scheme and a decoupled and linearized scheme based on two‐grid finite element. Under suitable further restrictions, their optimal error estimates are obtained. Finally numerical experiments indicate the validity of the theoretical results as well as the efficiency and effectiveness of the decoupled and linearized two‐grid algorithm. © 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 1009–1030, 2015     

Moving boundary truncated grid method: Multidimensional quantum dynamics

The moving boundary truncated grid (TG) method is used to study wave packet dynamics of multidimensional quantum systems. As time evolves, appropriate Eulerian grid points required for propagating a wave packet are activated and deactivated with no advance information about the dynamics. This method is applied to the Henon-Heiles potential and wave packet barrier scattering in two, three, and four dimensions. Computational results demonstrate that the TG method not only leads to a great reduction in the number of grid points needed to perform accurate calculations but also is computationally more efficient than the full grid calculations.     

NESTED GRID METHODS FOR AN OCEAN MODEL: A COMPARATIVE STUDY

In this paper a comparison is carried out between three correction methods for multigrid local mesh refinement in oceanic applications: FIC, LDC and the direct method (DM) proposed by Spall and Holland. This study is based on a nested primitive equation model developed by Laugier on the basis of the code OPA (LODYC). The external barotropic problem is solved using any of the three local grid correction algorithms yielding an interactive nested grid model. The non-linear elliptic equation for the barotropic streamfunction tendency is solved on two nested grids, called the global and the zoom grid, that interact between themselves. The zoom grid is entirely embedded within the global domain with a horizontal grid step ratio of 3:1. The computation on the global grid supplies the boundary conditions for the zoom grid region and the fine grid fields are used to correct the global coarse solution. The three local correction methods are tested on two problems relevant to oceanic circulation phenomena proposed by Spall and Holland: a barotropic modon and an anticyclonic vortex. The results show that the nesting technique is a very efficient way to solve these problems in terms of a gain in precision compared with the required CPU time. The two-domain model with local mesh refinement allows one both to manage effectively the open boundary conditions for the local grid and to correct the global solution thanks to the zoom solution. In the case of the modon propagation the three local correction methods provide approximately the same results. For the baroclinic vortex it appears that the two iterative methods are more efficient than the direct one.     

AN ADAPTIVE UNSTRUCTURED TRI-TREE ITERATIVE SOLVER FOR MIXED FINITE ELEMENT FORMULATION OF THE STOKES EQUATIONS

An iterative adaptive equation solver for solving the implicit Stokes equations simultaneously with tri-tree grid generation is developed. The tri-tree grid generator builds a hierarchical grid structure which is mapped to a finite element grid at each hierarchical level. For each hierarchical finite element grid the Stokes equations are solved. The approximate solution at each level is projected onto the next finer grid and used as a start vector for the iterative equation solver at the finer level. When the finest grid is reached, the equation solver is iterated until a tolerated solution is reached. In order to reduce the overall work, the element matrices are integrated analytically beforehand. The efficiency and behaviour of the present adaptive method are compared with those of the previously developed iterative equation solver which is preconditioned by incomplete LU factorization with coupled node fill-in. The efficiency of the incomplete coupled node fill-in preconditioner is shown to be largely dependent on the global node numbering. The preconditioner is therefore tested for the natural node ordering of the tri-tree grid generator and for different ways of sorting the nodes.     

无中心式调度框架下网格作业的节点选择优化

为优化无中心式调度框架下网格作业的节点选择,提出了随机多起点爬山算法.为使多个起点均匀分布于网格,按随机选择邻居的重复次数的指数增长找出各起点.为反映合理的用户调度需求,用平均的并行计算能力加权的有界减慢率衡量节点选择.灵活调整网格工作负荷,对随机多起点爬山算法进行了全面评估.在网格负载不是很轻情况下,该算法能有效地在网格全局优化节点选择.     

解单障碍问题的Lagrangian乘子非匹配网格区域分解法

针对二阶椭圆型单障碍问题提出了一类基于非匹配网格的Lagrang ian乘子非重叠型区域分解方法.并在适当条件下给出了该方法的收敛性分析和收敛速度估计.     

区块链网络安全保障:攻击与防御

随着区块链技术的迅猛发展,区块链系统的安全问题正逐渐暴露出来,给区块链生态系统带来巨大风险.通过回顾区块链安全方面的相关工作,对区块链潜在的安全问题进行了系统的研究.将区块链框架分为数据层、网络层、共识层和应用层4层,分析其中的安全漏洞及攻击原理,并讨论了增强区块链安全的防御方案.最后,在现有研究的基础上展望了区块链安...     

一种智能家庭网关及数据转发方法设计

针对当前智能家居环境中家庭网关所存在的安全隐患问题,文中提出一种智能家庭网关的设计方案以及一种基于该网关的数据转发方法,当所在家庭网关故障时,根据家居设备节点可接入网关的信号强度、节点的数据处理能力、优先级等信息来选择汇聚节点.监控中心根据候选网关的安全等级、带宽情况、当前负载等信息来选择转发网关.仿真实验证明,当网关...     

旋流泵全流道三维定常流场的数值模拟

本文在计算模型采用分块非结构化六面体网格的基础上,利用雷诺平均N-S方程,标准k-ε紊流模型,结合 SIMPLEC算法,数值模拟了旋流泵的内部流动,得到了旋流泵压力面、吸力面上的压力分布,同时也估算了叶轮的效率, 比较了旋流泵试验性能与数值模拟性能,有助于了解旋流泵的内部流动特性,指导旋流泵的水力设计。     

DMD红外场景产生器非均匀性校正方法研究

非均匀性是影响数字微镜器件(Digital Micro-mirror Device,DMD)红外场景产生器投射红外场景质量的主要因素之一,DMD红外场景产生器必须经过非均匀性校正才能满足复杂环境下红外成像设备内场仿真试验的应用要求.给出了DMD红外场景产生器的非均匀性校正流程;提出了一种更适合于现有测试条件的变尺度稀疏...