SELFE: A semi-implicit Eulerian–Lagrangian finite-element model for cross-scale ocean circulation

Unstructured-grid models grounded on semi-implicit, finite-volume, Eulerian–Lagrangian algorithms, such as UnTRIM and ELCIRC, have enjoyed considerable success recently in simulating 3D estuarine and coastal circulation. However, opportunities for improving the accuracy of this type of models were identified during extensive simulations of a tightly coupled estuary–plume–shelf system in the Columbia River system. Efforts to improve numerical accuracy resulted in SELFE, a new finite-element model for cross-scale ocean modeling. SELFE retains key benefits, including computational efficiency of existing semi-implicit Eulerian–Lagrangian finite-volume models, but relaxes restrictions on grids, uses higher-order shape functions for elevation, and enables superior flexibility in representing the bathymetry. Better representation of the bathymetry is enabled by a novel, “localized” vertical grid that resembles unstructured grids. At a particular horizontal location, SELFE uses either S coordinates or SZ coordinates, but the equations are consistently solved in Z space. SELFE also performs well relative to volume conservation and spurious oscillations, two problems that plague some finite-element models. This paper introduces SELFE as an open-source code available for community use and enhancement. The main focus here is on describing the formulation of the model and on showing results for a range of progressively demanding benchmark tests. While leaving details to separate publications, we also briefly illustrate the superior performance of SELFE over ELCIRC in a field application to the Columbia River estuary and plume.     

基于电子地图和Dijkstra算法路径规划的实现

随着城市化水平的提高,人们在道路选择问题上可能需要考虑的并非仅仅是"空间距离"的最短,还有"时间最短",本文应用Dijkstra算法解决城市中出行交通道路选择的问题,对距离最短和时间最短路径分别进行讨论,用VB语言实现算法,并且在电子地图上绘制出所求出的路径,以便人们更直接地观看到结果,基本上解决了道路选择问题。     

Investigating the propagation mechanism of unmodelled systematic errors on coordinate time series estimated using least squares

The propagation of unmodelled systematic errors into coordinate time series computed using least squares is investigated, to improve the understanding of unexplained signals and apparent noise in geodetic (especially GPS) coordinate time series. Such coordinate time series are invariably based on a functional model linearised using only zero and first-order terms of a (Taylor) series expansion about the approximate coordinates of the unknown point. The effect of such truncation errors is investigated through the derivation of a generalised systematic error model for the simple case of range observations from a single known reference point to a point which is assumed to be at rest by the least squares model but is in fact in motion. The systematic error function for a one pseudo-satellite two-dimensional case, designed to be as simple but as analogous to GPS positioning as possible, is quantified. It is shown that the combination of a moving reference point and unmodelled periodic displacement at the unknown point of interest, due to ocean tide loading, for example, results in an output coordinate time series containing many periodic terms when only zero and first-order expansion terms are used in the linearisation of the functional model. The amplitude, phase and period of these terms is dependent on the input amplitude, the locations of the unknown point and reference point, and the period of the reference point's motion. The dominant output signals that arise due to truncation errors match those found in coordinate time series obtained from both simulated data and real three-dimensional GPS data.     

面向稀疏散布数据集的时空Kriging优化

时空Kriging法通过将变异函数向时空域进行扩展得到时空变异函数,有效地利用时空邻近的采样点综合进行插值,由于时空稀疏散布数据集具有单一时刻下样本点数量少以及时空分布不规律的特点,难以满足使用时空Kriging插值法的基本条件,导致插值精度不高,据此本文提出了优化方法：通过多时段叠置拟合空间变异函数的方法,综合利用时空邻域内的采样点以解决单一时刻下空间邻域内数量不足情况;控制时间变异对空间变异函数拟合的误差影响;采用积合式模型构建时空变异函数进行插值。最后使用Argo海温数据进行插值实验,在相同条件下与时空Kriging法以及时空权重法的交叉验证结果对比得出,该方法在保证拟合所需采样点数量要求的同时,有效削减了一般时空Kriging法中时间变异对空间变异函数拟合结果的干扰,插值结果的绝对误差均值从0.5降低至0.2以内,稳定性进一步增强,改善了时空Kriging法在稀疏散布数据条件下精度上的不足。     

饱和软黏土地基静压管桩承载力时间效应试验研究

对饱和软黏土地基中的静压管桩进行隔时复压试验发现,复压起动压桩力在沉桩25 d后的增长幅度达2.5倍以上,且前期增长较快而后期较慢。理论分析及试验对比证明,利用隔时复压起动压力作为静压桩极限承载力是合理的,而且可以观察到承载力短期内的变化,是进行承载力时效性研究的有效试验途径,分析后认为承载力的增长主要是由于桩侧黏土抗剪强度的提高所致。通过修正得到黏土层桩侧单位面积侧阻力的增长曲线,回归分析得出3种不同的预测公式,对比发现基于对数函数的预测表达式更接近实际情况。     

地下采矿引起的地表下沉的动态过程模型

分析了由地下采矿引起地表下沉的动态过程的Knothe时间函数模型的不足,在原Knothe时间函数中增加了一个以常数k为参数的幂指数,增加参数后的时间函数模型经理论分析符合地表点下沉的动态过程、速度变化过程和加速度变化过程;改进后的时间函数模型中参数c决定地表点下沉过程时间的长短,参数k决定地表点在时间轴上的下沉路径及达到最大速度所需的时间;用改进后的时间函数模型对某矿沉陷盆地倾向主断面上下沉量最大点的下沉过程的观测资料进行了拟合,即用经验方法确定参数c后,再用最小二乘法确定参数k。研究结果表明,该模型可较准确地拟合实测曲线。用改进后的时间函数模型结合沉陷盆地主断面的剖面函数模型,建立了主断面地表下沉曲线变化的动态过程模型,该模型可求出沉陷主断面或沉陷盆地某一点在某一时刻的下沉量、下沉速度和加速度。     

用GPS秒信号锁定高频振荡器的方法研究

对用远距离传输的GPS秒信号锁定本地高频晶体振荡器的方法进行了探讨。介绍了高精度的时间数字转换器TDC(Time to Digital Converter)和对滤波的方法进行了探讨。为了降低成本又能够满足设计要求的精度，还考虑了双D／A转换的方法。有关的硬件系统已经通过了调试和一系列的测试和实验，在测量和控制精度方面，能达到设计的要求。此外，提出了这个系统有待解决的问题，如双D／A转换的非线性问题，Kalman滤波抗野值及继续提高精度的问题。     

GDCORS多星系统定位平台测试与分析

广东省连续运行卫星定位服务系统(G DCORS)建成了兼容多星系统的北斗地基增强平台,组织开展了新平台与原平台的外业测试.并从内符合精度评定、重复性精度评定、外符合精度、初始化时长等方面对网络实时动态(RTK)定位结果进行了统计和比对分析.测试结果表明,新平台能够提供高可靠性、高精度的网络RTK服务.文中研究结果可为GDCORS用户使用新/原平台提供实际应用参考.     

模式内部变率引起的1.5℃和2℃升温阈值出现时间模拟的不确定性研究

模式内部变率是模拟结果不确定性的重要来源,然而它对于1.5℃和2℃升温阈值出现时间不确定性的影响尚不清楚。因此,基于耦合模式比较计划第五阶段(CMIP5)的多模式数据研究了模式内部变率对1.5℃和2℃升温阈值出现时间不确定性的影响以及对未来排放情景的敏感性。结果表明,模式内部变率对升温阈值出现时间模拟的影响与外强迫的影响相当,单个模式内部不同成员达到全球平均1.5℃或2℃增温的年份相差2~12年;其影响具有明显的空间差异,影响极大值出现在欧亚大陆以北洋面、白令海峡周围区域、北美东北部及其与格陵兰岛之间的海域、南半球高纬地区等;低排放情景下模式内部变率的影响大于高排放情景。     

表层土剪切波速的不确定性对地表设计谱平台值的影响

土层剪切波速对地表反应谱有重要的影响。选取构建了不同场地类别的235个场地地震反应模型,人工合成了12条强弱及频谱特性不同的加速度时程,运用一维土层地震反应的等效线性化波动方法,研究了不同地震动输入下表层土剪切波速的不确定性对设计谱平台值的影响,统计给出了表层土剪切波速的变异率与地表设计反应谱平台值间的经验公式。结果表明:地表设计反应谱平台值与表层土剪切波速的变异率呈负相关关系,即随表层土剪切波速变异率的增大而减小;不同地震波输入条件下各类场地类别地表设计谱平台高度与表层土剪切波速变异率的数学模型为一阶指数函数。