An Efficient Model for Transient Surface Waves in Both Finite and Infinite Water Depth

A numerical model is developed to simulate fully nonlinear extreme waves in finite and infinite water-depth wave tanks. A semi-mixed Eulerian-Lagrangian formulation is adopted and a higher-order boundary element method in conjunction with an image Green function is used for the fluid domain. The boundary values on the free surface are updated at each time step by a fourth-order Runga-Kutta time-marching scheme at each time step. Input wave characteristics are specified at the upstream boundary by an appropriate wave theory. At the downstream boundary, an artificial damping zone is used to prevent wave reflection back into the computational domain. Using the image Green function in the whole fluid domain, the integrations on the two lateral walls and bottom are excluded. The simulation results on extreme wave elevations in finite and infinite water-depths are compared with experimental results and second-order analytical solutions respectively. The wave kinematics is also discussed in the present study.     

Application of a vanishing, quasi-sigma, vertical coordinate for simulation of high-speed, deep currents over the Sigsbee Escarpment in the Gulf of Mexico

Recent observations over the Sigsbee Escarpment in the Gulf of Mexico have revealed extremely energetic deep currents (near 1 m s⁻¹), which are trapped along the escarpment. Both scientific interest and engineering needs demand dynamical understanding of these extreme events, and can benefit from a numerical model designed to complement observational and theoretical investigations in this region of complicated topography. The primary objective of this study is to develop a modeling methodology capable of simulating these physical processes and apply the model to the Sigsbee Escarpment region. The very steep slope of the Sigsbee Escarpment (0.05–0.1) limits the application of ocean models with traditional terrain-following (sigma) vertical coordinates, which may represent the very complicated topography in the region adequately, can result in large truncation errors during calculation of the horizontal pressure gradient. A new vertical coordinate system, termed a vanishing quasi-sigma coordinate, is implemented in the Navy Coastal Ocean Model for application to the Sigsbee Escarpment region. Vertical coordinate surfaces for this grid have noticeably gentler slopes than a traditional sigma grid, while still following the terrain near the ocean bottom. The new vertical grid is tested with a suite of numerical experiments and compared to a classical sigma-layer model. The numerical error is substantially reduced in the model with the new vertical grid. A one-year, realistic, numerical simulation is performed to simulate strong, deep currents over the Escarpment using a very-high-resolution nested modeling approach. The model results are analyzed to demonstrate that the deep-ocean currents in the simulation replicate the prominent dynamical features of the observed intense currents in the region.     

提高航迹计算精度的方法研究

分析了传统的航迹计算方法存在的系统误差,引入了符号形式的子午线弧长正反解公式,推导出了可以消除该误差进而提高航迹计算精度的精确墨卡托航法。算例分析表明,该方法可以解决航海上不同地球参考椭球下的航迹计算问题,反解精度高达10^-4 m。     

误差椭圆在精密工程测量中的应用研究

进行精密工程测量时,要根据工程的要求和现场的具体条件,通过精度分析拟定切实可行的观测方案,采用合适的测量方法来获得最可靠的成果。据此探讨了误差椭圆在精密工程测量中的应用。     

动态矿区DEM生成方法及其在土地复垦中的应用研究

首先根据我国矿区土地复垦工作中存在的不足,通过研究提出"动态土地复垦"的概念,并确定了动态土地复垦方案制定的数据基础——动态矿区数字高程模型。动态矿区数字高程模型应该包含煤矿生产对地表的累积影响结果数据和地表的原始地形信息,开采沉陷预计结果可以提供前者,地面测量可以提供后者,经过数据处理可以按时间间隔生成描述塌陷区的一系列数字高程模型(DEM)(准动态),然后运用DEM的空间分析技术提取塌陷区在不同时间段的土地破坏类型、范围和位置数据,并根据这些数据进行动态土地复垦方案决策数据的提取,经实例验证该方法可行。     

提高对流层天顶总延迟解算精度的新方法探讨

对流层天顶总延迟的解算精度,直接影响长基线解算的精度和大气水汽含量的计算精度。文中提出克利金内插法解算天顶总延迟的新方法,并利用南极长城站和周边IGS跟踪站的GPS数据,通过高精度解算软件GAMIT/GLOBK,解算出长城站上空的对流层天顶总延迟,将其与利用内插方法解算的天顶总延迟进行了对比分析,得出:利用该内插方法获取的南极长城站在夏季的天顶总延迟的均方差可达0.2mm,这对今后GPS高精度定位和GPS气象学应用来说,具有重要意义。     

改进的单纯形法及其在非线性参数估计中的应用

采用了改进的单纯形法,该算法利用遗传算法的变异操作来增强单纯形法的全局搜索能力,既兼顾了全局收敛性,又具有高效的局部搜索能力。并通过实例验证了该算法的优越性,以及应用于测量上的非线性最小二乘估计的可行性。     

关于最小二乘问题近似解误差估计的进一步分析

Brezinski等人给出了最小二乘问题近似解的一族误差估计。该误差估计含有1个实参数。本文的贡献有3个方面:其一是给出了1种参数选择策略;其二是对该族误差估计的性质做出进一步分析;其三是分析了应用于Tikhonov正则化时应注意的一些问题。     

深基坑开挖与支护的有限元模拟

采用弹塑性有限单元法对超大基坑的开挖与支护进行数值模拟,据此分析土体的位移、主应力分布、施工过程中支护结构受力,并比较基坑顶部水平位移的计算值与实测值,两者非常接近,计算结果较为理想,可为工程设计和现场施工提供理论参考和指导.