三维抛物方程Douglas交替方向隐格式的稳定性和收敛性

作者研究三维变系数抛物方程 Douglas交替方向隐格式的稳定性和收敛性。采用 H1能量估计方法 ,证明格式按离散 H1范数是绝对稳定的 ,并且收敛阶为 O(Δ t2 + h2 )     

ADVANCES IN APPLIED RESEARCH OF THE OUTGOING LONGWAVE RADIATION IN CHINA

The outgoing longwave radiation(OLR)observed by NOAA satellite series has widely applied in various researchfields since the 1980s in China.In this paper,advances of the applied research of OLR are described in the following re-spects:(1)Studies of the global ITCZ;(2)Climatology of the subtropical high over northern Pacific;(3)Studies of the tropical cyclone over West Pacific;(4)Characteristics of the intraseasonal variation(ISV)of tropical convective activities;(5)Divergence wind and large scale circulation over the tropics;(6)Studies of the air-sea interaction;(7)Estimation of precipitation over the Tibetan Plateau and the Yangtze River(Changjiang River)basin during therainy season;(8)Analyses of regional climates of China;(9)Studies of prediction of the severe and disastrous weather and climate;(10)Atlas of OLR.The distinctive features of these advances are reviewed and the focal points of the OLR applied research in futureare also suggested.     

非线性Schrödinger方程的一个线性化紧致差分格式

对非线性Schrödinger方程给出了一个线性化紧致差分格式,运用不动点定理和能量方法证明了格式的唯一可解性,还运用能量方法和数学归纳法,避开困难的先验估计,证明格式在空间方向和时间方向分别具有四阶和二阶精度,数值算例验证了格式的精度和数值稳定性.     

复杂地形下雷暴增强过程的个例研究

本文基于多普勒雷达变分同化分析系统（VDRAS）反演的对流层低层热力和动力场,并结合多种稠密观测资料,对北京地区2009年7月22日一次弱天气尺度强迫下雷暴在山区和平原增强的机理进行了较深入的分析。研究结果表明：雷暴过程受大尺度天气系统影响不明显,对流前期地面弱冷锋,是此次雷暴新生的触发机制,高层冷平流、低层偏南暖湿气流的稳定维持和对流不稳定能量的聚集是本次雷暴增强的必要条件。雷暴从河北北部移进北京西北山区后,在下山和到达平原地区时,经历了两次明显的发展增强阶段。雷暴第一阶段下山增强,地形强迫起着主要作用,具体表现在三个方面：（1）地形斜坡使得雷暴冷池出流下山加速与稳定维持的偏南气流形成了强的辐合区;（2）地形抬升使得偏南暖湿入流强烈地上升,从而加剧了对流的发展;（3）地形抬高了冷池出流高度,使得出流与近地面偏南气流构成随高度顺转的低层垂直风切变,低层暖空气之上有冷平流叠加,使得雷暴前方的动力和热力不稳定增强。雷暴第二阶段在平原地区再次增强的主要原因是：组织完好的雷暴到达平原地区后,其冷池与低层暖舌在城区（朝阳地区）的对峙,产生了强的扰动温度梯度;强的冷池出流与势力相当的偏南暖湿气流相互作用产生了强的辐合上升气流,并与下沉气流在较长时间内共存;冷池出流形成的负涡度与低层切变产生的正涡度达到近似平衡状态。运用RKW理论,三者导致雷暴前方低层的辐合抬升最强,最有利于雷暴的维持发展。     

Modulation of Western North Pacific Tropical Cyclone Genesis by Intraseasonal Oscillation of the ITCZ: A Statistical Analysis

The present study investigates modulation of western North Pacific(WNP) tropical cyclone(TC) genesis in relation to different phases of the intraseasonal oscillation(ISO) of ITCZ convection during May to October in the period 1979-2008.The phases of the ITCZ ISO were determined based on 30-80-day filtered OLR anomalies averaged over the region(5-20 N,120-150 E).The number of TCs during the active phases was nearly three times more than during the inactive phases.The active(inactive) phases of ISO were characterized by low-level cyclonic(anticyclonic) circulation anomalies,higher(lower) midlevel relative humidity anomalies,and larger(smaller) vertical gradient anomalies of relative vorticity associated with enhanced(weakened) ITCZ convection anomalies.During the active phases,TCs tended to form in the center of the ITCZ region.Barotropic conversion from the low-level mean flow is suggested to be the major energy source for TC formation.The energy conversion mainly depended on the zonal and meridional gradients of the zonal flow during the active phases.However,barotropic conversion weakened greatly during the inactive phases.The relationship between the meridional gradient of absolute vorticity and low-level zonal flow indicates that the sign of the absolute vorticity gradient tends to be reversed during the two phases,whereas the same sign between zonal flow and the absolute vorticity gradient is more easily satisfied in the active phases.Thus,the barotropic instability of low-level zonal flow might be an important mechanism for TC formation over the WNP during the active phases of ISO.     

Seafloor spreading, obduction and triple junction tectonics of the Mineoka Ophiolite, Central Japan

The Tertiary Mineoka ophiolite occurs in a fault zone at the intersection of the Honshu and Izu forearcs in central Japan and displays structural evidence for three major phases of deformation: normal and oblique-slip faults and hydrothermal veins formed during the seafloor spreading evolution of the ophiolite at a ridge-transform fault intersection. These structures may represent repeated changes in differential stress and pore-fluid pressures during their formation. The second series of deformation is characterized by oblique thrust faults with Riedel shears and no significant mineral veining, and is interpreted to have resulted from transpressional dextral faulting during the obduction of the ophiolite through oblique convergence and tectonic accretion. This deformation occurred at the NW corner of a TTT-type (trench–trench–trench) triple junction in the NW Pacific rim before the middle Miocene. The third series of deformation of the ophiolite is marked by contractional and oblique shear zones, Riedel shears, and thrust faults that crosscut and offset earlier structures, and that give the Mineoka fault zone its lenticular (phacoidal) fabric at all scales. This deformation phase was associated with the establishment and the southward migration of the TTT Boso triple junction and with the kinematics of oblique subduction and forearc sliver fault development. The composite Mineoka ophiolite hence displays rocks and structures that evolved during its complex geodynamic history involving seafloor spreading, tectonic accretion, and triple junction evolution in the NW Pacific Rim.     

GPS/GLONASS组合精密单点定位研究

讨论了GPS/GLONASS组合精密单点定位的数学模型,并以IRKJ跟踪站的观测数据为例,分别利用GPS和GPS/GLONASS组合两种方式进行精密单点定位解算。计算结果表明,当GPS观测卫星数较多(9~10颗)时,组合GPS/GLONASS较单系统GPS的精密单点定位精度及收敛速度有一定改善,但效果不明显。当GPS卫星数较少(4~5颗)时,引入GLONASS卫星进行GPS/GLONASS组合精密单点定位,其定位精度及收敛速度较单系统GPS精密单点均有显著改善。     

关于-遗传算法收敛性的注记

遗传算法是一种受到广泛注意的全局优化算法,已经在包括地震工程的很多领域中获得应用.本文将结合这一算法的实际操作步骤,对简单遗传算法的不收敛性和包含最优个体保护策略的遗传算法的收敛性给出一个简要的证明.     

2013年6月30日皖南山区对流性暴雨成因及漏报原因分析

利用常规观测资料、地面加密观测资料、FY-4A卫星云图资料、多普勒天气雷达资料和ERA5再分析资料,对2021年6月14日傍晚到夜间豫南一次对流性暴雨过程进行了分析。结果表明：此次过程发生时,850 hPa以上为西南到偏西气流,边界层内冷空气侵入豫南,风场形成了气旋性切变和辐合,过程中水汽条件和热力条件较好,动力强迫主要位于边界层。本次降水可分为两个阶段：14日18∶00—15日00∶00时为对流的触发与演变阶段,冷空气南下形成的地面中尺度辐合线南压到豫南触发了准线状对流,之后辐合线断裂,位于驻马店的东段辐合线进一步南压,对流随之南压减弱,而南阳盆地内风场形成了中尺度气旋性旋转和辐合,对流在此维持;15日00∶00—06∶00为对流的再次增强与维持阶段,随着近地面冷空气再次增强,南阳中部到驻马店西部一带的对流增强并稳定少动。南阳站附近形成了中尺度气旋式辐合中心并长时间维持,利于此处对流不断生成并东移,驻马店西部山地的喇叭口地形对风场的辐合抬升作用也促进了对流的维持。

     

二战后全球宗教多样性时空格局演变及收敛性研究

运用LISA时间路径、收敛检验等方法考察了二战后全球宗教多样性发展的空间分布特征、格局演变以及在此过程中的收敛性。研究发现：（1）二战后宗教多样性呈先快后慢的上升趋势,1945—2015年间多样性指数增幅达81.07%。宗教分类上则主要表现为基督教信仰者数量的持续下滑以及伊斯兰教信仰者数量的稳步上升。（2）LISA时间路径表明二战后全球宗教多样性具有较强的空间锁定效应,且其空间演化具有较强空间整合性。（3）二战后全球宗教多样性水平存在着显著的σ收敛与绝对β收敛,即全球、洲级层面上宗教多样性水平的内部差异都在逐步弥合,宗教多样性水平较高的地区对周边较低地区存在溢出效应。（4）二战后全球宗教多样性演化受土地覆盖类型、国力指数、民族数量、人均GDP、人口规模等因素共同作用而收敛于不同的稳态水平;从洲级层面上来看,各洲级单元收敛性对影响因素的敏感程度不同,体现了二战后全球宗教多样性演化显著的地域分异性。