似水准椭球

提出了“似水准椭球”概念,给出了“似水准椭球”的“匀质分层”、“整体纬向”和“内匀外纬”3种模式的密度分布方式。针对“似水准椭球”密度分布的合理性和稳定性问题,初步提出了求解“似水准椭球”的拉格朗日函数和哈密顿积分的设想。     

气候模式模拟中海量数据的并行抽取与可视化分析诊断

在地球动力学和气候模拟等领域, 数值模拟产生的数据规模达到Tb至Pb量级。 实现这些海量数据的实时可视化和实时诊断分析面临很大的困难, 时空多尺度数据抽取可以解决这一瓶颈。 高精度数据的可视化结果展示需要高分辨率的显示设备, 并行的大屏幕显示技术是解决这一问题的有效手段。 地球科学数值模拟、 并行数据抽取和高分辨率显示都需要搭建高性能计算机集群。 本文在基于Lagrange插值的多维度、 多尺度、 多分辨率并行数据抽取算法的同时, 利用并行计算节点及LCD显示器, 基于Rocks cluster系统搭建起一个176核, 4×10×1024×1280分辨率的高性能计算模拟、 数据抽取和并行显示输出的集成平台, 并将该平台成功应用到气候模式模拟产生的海量数据的并行抽取和并行显示。     

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基于Markovian切换的时滞回归神经网络Lagrange全局均方指数稳定

对一类激励函数是Lurie型（包括有界和无界激励函数）的具有Markovian切换的时滞回归神经网络的Lagrange全局均方指数稳定性进行了研究,得到了回归神经网络在Markovian切换状态下的Lagrange全局均方指数稳定的充分判据,并通过数值例子验证了所得结论的正确性和有效性.     

Fully Coupled Fluid-Structure Interaction Model Based on Distributed Lagrange Multiplier/Fictitious Domain Method

This paper,with a finite element method,studies the interaction of a coupled incompressible fluid-rigid structure system with a free surface subjected to external wave excitations.With this fully coupled model,the rigid structure is taken as "fictitious" fluid with zero strain rate.Both fluid and structure are described by velocity and pressure.The whole domain,including fluid region and structure region,is modeled by the incompressible Navier-Stokes equations which are discretized with fixed Eulerian mesh.However,to keep the structure's rigid body shape and behavior,a rigid body constraint is enforced on the "fictitious" fluid domain by use of the Distributed Lagrange Multiplier/Fictitious Domain(DLM/FD) method which is originally introduced to solve particulate flow problems by Glowinski et al.For the verification of the model presented herein,a 2D numerical wave tank is established to simulate small amplitude wave propagations,and then numerical results are compared with analytical solutions.Finally,a 2D example of fluid-structure interaction under wave dynamic forces provides convincing evidences for the method excellent solution quality and fidelity.     

海上溢油粒子追踪预测模型中的两种数值方法比较

在海上溢油粒子追踪预测模型中,关键的是对拉格朗日微分方程的求解。本文首先通过数值实验比较了欧拉法和龙格-库塔法求解拉格朗日溢油轨迹微分方程的优劣,然后将其应用到2005年4月3日发生在大连附近的“ARTEAGA”油轮溢油事故的油膜粒子追踪模型中。数值实验和应用结果表明,在近岸不均匀流场下,用龙格-库塔方法解拉格朗日油粒子微分方程比用欧拉法求解精度高,用龙格-库塔方法模拟“ARTEAGA”油轮轨迹及其扩散范围与实际观测更为接近,而用欧拉法模拟溢油扩散的面积偏大。     

基于拉格朗日方法的洪泽湖与巢湖河流出入湖水体追踪计算

利用耦合北斗和GPS双定位系统的拉格朗日随体法水质点追踪仪,在2018年9月至2019年10月期间开展了总数为18次的洪泽湖和巢湖主要河流河水入湖后表层、中层和底层水体运移同步追踪观测,研究了两个湖泊河水入湖后的运移轨迹和速度特征。结果表明:淮河主河道河水入洪泽湖后流向南北两侧;徐洪河河口处水体表层流速在洪泽湖5条河道出入湖口处为最大;巢湖双桥河河口处水体流速受巢湖闸运行影响强烈,各层流速在7条入湖河流中最大。洪泽湖、巢湖入湖水体流速由表层至底层逐渐降低,洪泽湖各层水体流速大于巢湖。洪泽湖河口处表层水体8次测量平均流速为6.11cm/s;巢湖为5.51cm/s;二者中层流速分别为5.32和3.85cm/s;底层则分别为4.96和3.67cm/s。     

重力卫星加速度数据的插值算法研究

阐述拉格朗日插值法和牛顿插值法的原理,详细地推导其一次、二次微分通用公式,并分别利用推导出来的微分公式对卫星星历模拟数据进行了相应的插值计算,得到对应的卫星加速度数据。通过比较不同公式的计算结果,验证一次、二次微分公式的正确性,并得到一些有益的结论。     

Understanding size and boundary effectsin scaled model blasts - plane problems

This contribution addresses model blasting and focuses on size and boundary effects on wave propagation, fracture pattern development and fragmentation in small scale laboratory size specimen. Small cylindrical specimens are centre-line loaded by linear high velocity of detonation explosive charges and detonated.

Using elastic wave propagation theory and fracture mechanics it is shown that the type of boundary conditions which prevail at the outer boundary of the cylinder control the extension of bore-hole cracking and fragmentation within the body of the cylinder. In the case of a composite cylinder with dissimilar mantel and core materials, the level of fracturing and fragmentation is controlled by the delamination of the interface. This, in turn, depends on the relative diameters of the core and the mantel. The most important parameter though is the ratio between the length of the pulse (space-wise or time-wise) and the characteristic dimensions of the models, i.e. in this case the diameters of the core and the mantel.

The theoretical basis for a simplified two-dimensional plane treatment is developed. Simple or composite, thin, plate-like specimens are centrally loaded; whereas the core is always a circle, the mantel can be either a circle or a square.     

IGS精密钟差精度分析

对比了IGS官方提供的5 min和30 s间隔的精密钟差变化规律,分析了利用8阶滑动式Lagrange多项式插值和线性插值将精密钟差内插至30 s间隔的精度及可行性,得出了一些国内文献未论及的结论。