深吃水半潜式平台参数共振研究

深吃水半潜式平台(deep draft semi-submersible,DDS)作为一种新型海洋结构物,既继承了传统半潜式平台的优点,又改善了传统半潜式平台垂荡运动性能差的不足。但随着吃水的增加,DDS纵摇运动参数共振也成为一个不容忽视的问题。当DDS纵摇运动固有周期和垂荡运动周期满足一定关系时,纵摇运动将发生参数共振,纵摇角度将会显著增大。研究推导了DDS纵摇运动方程,并简化为标准的马修方程,运用希尔无穷行列式法求解马修方程,得到了含阻尼的马修稳定性图谱,并结合具体算例讨论了不同参数对DDS纵摇运动参数共振问题的影响。研究表明:深吃水半潜式平台的参数共振,是设计人员在设计之初必须考虑的问题;通过合理选取平台的系统参数,可以有效避免纵摇运动参数共振现象的发生。     

一种利用单张影像进行规则物体三维重建的方法

提出了一种以单张影像为基础,基于灭点几何原理、共线条件方程及共面约束条件,进行规则物体三维重建的方法。该方法通过影像中的3条两两垂直的直线,利用灭点几何原理得到了影像的方位角元素;利用解算的角元素及共线方程得到了摄影中心坐标;最后,利用解算的影像外方位元素及共面约束条件得到规则物体的三维几何模型。     

Diagnosis of the forcing of inertial-gravity waves in a severe convection system

The non-hydrostatic wave equation set in Cartesian coordinates is rearranged to gain insight into wave generation in a mesoscale severe convection system. The wave equation is characterized by a wave operator on the lhs, and forcing involving three terms—linear and nonlinear terms, and diabatic heating—on the rhs. The equation was applied to a case of severe convection that occurred in East China. The calculation with simulation data showed that the diabatic forcing and linear and nonlinear forcing presented large magnitude at different altitudes in the severe convection region. Further analysis revealed the diabatic forcing due to condensational latent heating had an important influence on the generation of gravity waves in the middle and lower levels. The linear forcing resulting from the Laplacian of potential-temperature linear forcing was dominant in the middle and upper levels. The nonlinear forcing was determined by the Laplacian of potential-temperature nonlinear forcing. Therefore, the forcing of gravity waves was closely associated with the thermodynamic processes in the severe convection case. The reason may be that, besides the vertical component of pressure gradient force, the vertical oscillation of atmospheric particles was dominated by the buoyancy for inertial gravity waves. The latent heating and potential-temperature linear and nonlinear forcing played an important role in the buoyancy tendency. Consequently, these thermodynamic elements influenced the evolution of inertial-gravity waves.     

总体最小二乘曲线曲面模型建立方法比较探究

本文探究了总体最小二乘的3种方法,包括奇异值分解、最小奇异值方法和迭代法,并且对3种方法进行比较。在模型推导的基础上,文中对3种总体最小二乘法在曲线和曲面拟合中求解的参数及其精度进行了比较分析。通过与最小二乘法的比较表明:总体最小二乘法得到的拟合结果更加稳健,并且发现迭代法和奇异值分解方法的结果是一样的;最小奇异值方法的结果欠优。     

新疆外向型经济发展效率评价及影响因素

大力发展外向型经济是丝绸之路经济带建设的重要内容。为了研究新疆外向型经济的发展及其影响因素,采用熵值-TOPSIS评价模型和结构方程模型,建立了包括外向型经济发展水平、经济基础水平、社会基础水平和竞争力水平4个指标因素的综合指标体系,对新疆各地州市外向型经济发展效率进行评价,并对4个指标因素的关系进行实证分析。研究结果表明:新疆各地州市外向型经济发展效率差异虽然较小,但呈现小幅度加大趋势;将新疆15个地州市分为超效率发挥地区、领先地区、效率未发挥地区和落后地区;经济基础水平对外向型经济发展水平的影响最大,竞争力水平次之,社会基础水平对外向型经济发展水平暂无明显影响。     

离散点气象要素平流外推模型

大气平流方程一般用于格点场数值预报的处理,鲜有应用到离散点要素外推。离散点平流外推模型不仅使时间方向站点资料补缺更具物理意义,而且为站点要素的预报奠定基础。模型首先根据站点离散特征,对平流方程进行改造,得到离散点风速、梯度本征向量,并通过频数统计拟合出平流项似然概率的高斯表达式,以此计算出新平流方程数值解。通过对单点和多点的实况试验,得出了模型的具体应用特点,并给出了一个实际的数据补缺场景,作用显著。该模型具有小巧、高效,易用等特点,有良好的普适性,作为一个通用的数学模型,为离散点的要素预报提供了一种新的思路。     

A High-Order Spatiotemporal Precision-Matching Taylor–Li Scheme for Time-Dependent Problems

Based on the Taylor series method and Li's spatial differential method, a high-order hybrid Taylor–Li scheme is proposed.The results of a linear advection equation indicate that, using the initial values of the square-wave type, a result with thirdorder accuracy occurs. However, using initial values associated with the Gaussian function type, a result with very high precision appears. The study demonstrates that, when the order of the time integral is more than three, the corresponding optimal spatial difference order could be higher than six. The results indicate that the reason for why there is no improvement related to an order of spatial difference above six is the use of a time integral scheme that is not high enough. The author also proposes a recursive differential method to improve the Taylor–Li scheme's computation speed. A more rapid and highprecision program than direct computation of the high-order space differential item is employed, and the computation speed is dramatically boosted. Based on a multiple-precision library, the ultrahigh-order Taylor–Li scheme can be used to solve the advection equation and Burgers' equation.     

地形改正与地形直接影响的转化关系

传统的第三边值问题的解算方法有Molodensky算法和Stokes-Helmert算法两种。在Molodensky算法中使用的地形改正和Stokes-Helmert算法中使用的直接影响均由大地水准面外地形产生,因而必然存在关系。本文通过推导给出了直接影响是地形改正、层间改正与压缩地形影响3项之和的结论。在此基础上,给出了直接影响的质量线平面积分算法、质量棱柱平面积分算法和地形改正的球面积分算法。此外本文还推导了布格球冠层间改正算法。通过实验得出,直接影响的质量线平面积分算法和质量棱柱平面积分算法与传统球面积分算法的差异分别为3.81和1.64 m Gal;地形改正球面积分算法与传统质量线、质量棱柱平面积分的差异分别为3.92和1.69 m Gal。该结果说明,本文推导的直接影响与地形改正的关系式是正确有效且实用的。     

波浪水槽中非线性浅水波传播特性与模拟

通过建立解析解、进行数值模拟和物理实验，研究了波浪水槽中非线性浅水波浪传播特性，给出了数值模拟中对应造波板做正弦运动的二阶入射边界条件。数值模拟采用高阶Boussinesq方程。实验结果、数值结果和解析解进行对比，并讨论了解析解的适用范围、高次谐波的产生及三波相互作用问题。     

Monthly Variation of Sea-Air Temperature Differences in the Korean Coast

Monthly variations of sensible heat, latent heat and momentum fluxes and the modification of sea temperature to air temperature were examined at four coastal stations—Sokcho, Kangnung, Ulsan and Chungmu in the path of the East Korea Warm Current from the year of 1981 to 1990, which was one of main migration routes of Japanese common squid. The difference between monthly averaged sea surface and air temperatures at the 10 m height above the sea surface mainly became negative values from April through August, while they had positive ones from September through March. Monthly variability of the temperature differences is significant in both summer and winter, while it is generally small in spring and fall. Negative values of sensible heat fluxes, which indicated a heat gain by the sea through heat conduction across the air-sea interface were found at the four coastal stations from April to August. Minimum values of sensible heat fluxes at Sokcho, Kangnung and Chungmu were in June, except for Ulsan in August. To the contrary, positive sensible heat flux implying a heat loss from sea toward atmosphere occurred from October to February with a maximum in December. Latent heat fluxes due to condensation of moist air over sea surface had small magnitudes from April to August and those due to evaporation of water particles from the sea surface into the lower atmosphere had relatively large magnitudes from October to March. Minimum values of latent heat fluxes also occurred in June except for August in Ulsan. Momentum flux was small from June to August under weak wind in summer, but it was large from December to February under strong wind in winter. Regression equations between sea surface temperature and air temperature at the 10 m height above the sea surface had very high correlation coefficients from 0.92-0.98, except for 0.78-0.84 of Ulsan, which was partially affected by upwelling of cool water from the bottom into the sea surface. Similar to the sea surface, correlation coefficients were over 0.83-0.97 except for 0.70-0.79 for Ulsan at the 10 m depth of sea and were over 0.70-0.95 except for 0.59-0.82 for Ulsan at the 20 m depth.