序半群的（∈,∈∨q）-模糊理想刻画

从一个新的角度研究了序半群上的（∈,∈∨q）-模糊左理想、（∈,∈∨q）-模糊右理想和（∈,∈∨q）-模糊双理想,并利用这些理想给出了正则序半群的若干刻画定理。     

一种基于规则格网的等值线生成方法

随着规则格网数据的获取手段不断发展,规则格网数据趋于海量化,而现有的一些软件对于大数据规则格网追踪等值线无法应对。针对传统方法较为占用内存问题,文章研究并提出了一种基于规则格网数据的逐行追踪等值线的方法:通过编程实现,与传统方法对比,该方法在处理大数据规则格网时的速度优于传统方法,在算法执行时,逐行追踪等值线方法对于计算机内存占用与传统方法相比大大减少;为了解决传统的等值线光滑与精简方法中出现等值线交叉的问题,文章提出采用规则格网插值与抽稀的方式来完成。     

Constraints from deuterium on the formation of icy bodies in the Jovian system and beyond

We consider the role of deuterium as a potential marker of location and ambient conditions during the formation of small bodies in our Solar system. We concentrate in particular on the formation of the regular icy satellites of Jupiter and the other giant planets, but include a discussion of the implications for the Trojan asteroids and the irregular satellites. We examine in detail the formation of regular planetary satellites within the paradigm of a circum-Jovian subnebula. Particular attention is paid to the two extreme potential subnebulae—“hot” and “cold”. In particular, we show that, for the case of the “hot” subnebula model, the D:H ratio in water ice measured from the regular satellites would be expected to be near-Solar. In contrast, satellites which formed in a “cold” subnebula would be expected to display a D:H ratio that is distinctly over-Solar. We then compare the results obtained with the enrichment regimes which could be expected for other families of icy small bodies in the outer Solar system—the Trojan asteroids and the irregular satellites. In doing so, we demonstrate how measurements by Laplace, the James Webb Space Telescope, HERSCHEL and ALMA will play an important role in determining the true formation locations and mechanisms of these objects.     

Numerical Simulation of Abnormal Wave Height Change Induced by Excavated Waterway with Boussinesq Equation

A nonlinear numerical model has been set up by use of Boussinesq Equation with finite differ-ence method,and has been applied to the simulation of the abnormal change of wave height induced by ex-cavated waterway.Numerical results demonstrate that the abnormal change of wave height is due to theadding of the reflected wave height induced by excavated waterway to the incident wave height.Becausethe angle between the incident wave and the axis of the waterway is smaller than the critical angle,the re-flected wave produced by the waterway may propagate to the breakwater and may be added with the inci-dent wave,then the abnormal change of wave height before the breakwater may be caused.So the wave re-flection caused by the change of water depth cannot be neglected.     

我国东部滨岸侵沉变异规律初探

滨岸地带自然环境多变,地质环境极为脆弱,但在社会经济发展中起着极为重要的作用。着重分析我国东部滨岸侵沉变异特征,研究滨岸侵沉变异地域分异规律与成因规律。     

完全非线性波浪与二维固定结构物作用的IGN-BEM耦合分析模型

为高效准确地对完全非线性波浪与二维固定结构物的相互作用进行模拟分析,建立了二维完全非线性时域耦合模型。耦合模型将计算域划分为靠近结构物的内域和远离结构物的外域,每个区域均采用满足完全非线性自由水面边界条件的波浪模型进行求解。在内域使用Laplace方程描述流体运动并采用高阶边界元法（BEM）对其进行求解;而在没有结构物的外域,波浪运动的控制方程为Irrotational Green-Naghdi（IGN）方程并采用有限元法（FEM）对其进行求解。内域和外域通过一段重叠区域进行耦合,从而实现模型间变量的传递。首先利用耦合模型分别对规则波的传播、直墙前立波的生成以及相关物理模型试验进行模拟,数值结果与精确解和试验结果的良好吻合验证了耦合模型耦合方式的合理性以及处理非线性问题的准确性;然后使用耦合模型模拟分析了波浪与固定结构物间的相互作用,并将结果与线性解析解以及完全非线性BEM模型的结果进行了对比分析,进一步证明了耦合模型的正确性与高效性。     

基于震灾图像维度分析下景观带毁损程度评估的探讨

地震灾害是所有自然灾害中破坏程度最为严重的灾害之一,当景观带遭到地震破坏时,景观带中的规则建筑结构发生改变,景观带毁损程度评估是城市避震减灾体系研究的重点内容,因此对景观带中规则建筑毁损程度研究有重要意义。为深入探讨景观带毁损程度评估的问题,基于震灾图像维度分析下对景观带毁损程度的评估方法进行尝试。根据规则建筑震灾图像质量,按图像维度的变化特征对规则建筑结构的破碎程度进行划分,获取破碎概率分布,根据破碎概率划分最佳阈值,采用分数维方法提取图像维度特征,根据提取到的规则建筑震灾图像维度特征,将毁损的规则建筑空间自相关程度转换成正态分布曲线,进而构建评估模型对规则建筑毁损程度进行评估。针对实例分析,实现基于震灾图像维度分析下景观带毁损程度评估方法并进行了探讨。     

正规化矩阵正定时半参数估计量的统计性质

利用补偿最小二乘原理构造加权惩罚平方和,得到半参数模型中正规化矩阵正定时参数和半参数的估计量.从偶然误差的统计特征出发,详细讨论这种平差方法得到的参数估值的一些统计性质,并对半参数平差与最小二乘法的参数估计值进行比较.理论分析表明,通过选取合适的平滑参数,半参数平差方法优于最小二乘法.另外从数理统计的角度对平滑参数的选取进行分析,得到平滑参数的取值范围,也给出了平滑参数对模型精度的影响.     

Numerical simulation of solitary and randomwave propagation through vegetation based on VOFmethod

A vertical two-dimensional numerical model has been applied to solving the Reynolds Averaged Navier- Stokes （RANS} equations in the simulation of current and wave propagation through vegetated and non- vegetated waters. The k-e model is used for turbulence closure of RANS equations. The effect of vegeta- tion is simulated by adding the drag force of vegetation in the flow momentum equations and turbulence model. To solve the modified N-S equations, the finite difference method is used with the staggered grid system to solver equations. The Youngs＇ fractional volume of fluid （VOF） is applied tracking the free sur- face with second-order accuracy. The model has been tested by simulating dam break wave, pure current with vegetation, solitary wave runup on vegetated and non-vegetated channel, regular and random waves over a vegetated field. The model reasonably well reproduces these experimental observations, the model- ing approach presented herein should be useful in simulating nearshore processes in coastal domains with vegetation effects.     

岩土体渗流自由面问题的重心插值无网格方法

岩土体的渗透破坏、地下工程的防渗设计等无不与渗流计算有关。针对渗流自由面问题,提出一种重心拉格朗日插值的配点型无网格方法。由于渗流自由面问题的求解区域是不规则区域,该方法通过将不规则求解区域嵌入一个正则矩形区域,在正则区域上采用重心拉格朗日插值近似未知函数,利用配点法离散渗流问题的控制方程,将重心拉格朗日插值的微分矩阵离散成代数方程表达的矩阵形式。将自由面上的边界条件通过重心拉格朗日插值离散,通过置换方程法和附加方程法施加边界条件,利用正则区域上的重心插值配点法,通过迭代确定最终自由面的位置。数值算例表明所提出的无网格方法对于求解渗流自由面问题的正确性和高精度。