An iterative pressure‐stabilized fractional step algorithm in saturated soil dynamics

This paper presents an iterative, incremental pressure‐stabilized fractional step algorithm for coupled hydro‐mechanical problems with mixed formulations of the displacement–pressure ( u –p) model in saturated soil dynamics that allows the use of finite elements with equal low order of interpolation approximation of u and p. In comparison with the original fractional step algorithm, the distinct features of the proposed algorithm lie in its enhanced stability owing to the introduction of both an iteration procedure and a finite increment calculus (FIC) process into the algorithm. The introduction of the iterative procedure makes the velocity term satisfy the momentum conservation equation in an implicit sense and allows much larger time step sizes to be used than those limited in existing explicit and semi‐implicit versions of the algorithm. The introduction of the FIC process removes the dependence of the stability of the proposed algorithm on the time step size, as a result it allows to using the incremental version of the algorithm and evades the minimum time step size requirement presented in the existing versions of the fractional step algorithm that restricts the application of the algorithm to saturated soil dynamics problems with high frequencies. Numerical experiments demonstrate the effectiveness and improved performance of the proposed iterative pressure‐stabilized fractional step algorithm. Copyright © 2009 John Wiley & Sons, Ltd.     

Stability of Hamiltonian Systems with Three Degrees of Freedom and the Three Body-Problem

Results are obtained about formal stability and instability of Hamiltonian systems with three degrees of freedom, two equal frequencies and the matrix of the linear part is not diagonalizable, in terms of the coefficients of the development in Taylor series of the Hamiltonian of the system. The results are applied to the study of stability of the Lagrangian solutions of the Three Body-Problem in the case in which the center of mass is over the curve ρ_*, on the border of the region of linear stability of Routh. The curve ρ_* is divided symmetrically in three arcs in such a way that if the center of mass of the three particles lies on the central arc, the Lagrangian solution is unstable in the sense of Liapunov (in finite order), while if the center of mass determines one point that lies on one of the other two arcs of ρ_*, then the Lagrangian solution is formally stable.     

Novel Analysis of Tadpole and Horseshoe Orbits

A simple analysis of tadpole and horseshoe orbits is performed using a new perturbation technique. The first-order results are presented explicitely, extension to any perturbation order is delineated. This revised version was published online in July 2006 with corrections to the Cover Date.     

中国近50a积雪变化时空特征

利用1961～2012年中国1400个站点逐日积雪增量、积雪日数和气温稳定通过0℃日数资料,对我国积雪时空变化特征进行了分析研究。结果表明：我国积雪主要分布在新疆北部地区、东北和内蒙古东北部地区及青藏高原地区,年积雪增量均超过50era;在年代际变化中,1991～2000年我国大部分地区积雪增量偏少;在对我国5个区域的趋势分析中,新疆北部地区、东北和内蒙古东北部地区积雪量有显著增加趋势,积雪日数的变化趋势均不显著,气温稳定通过0oC日数均呈显著减少。     

On Motions Near the Lagrange Equilibrium Point L 4 in the Case of Routh's Critical Mass Ratio

We deal with the planar restricted circular problem of three bodies. We study trajectories in a small neighborhood of the Lagrange equilibrium point L ₄ when mass ratio is close to Routh's value. In particular, we show that the case of proper degeneracy takes place and for most initial conditions trajectories are conditionally-periodic. We obtain an approximate representation of families of periodic solution emanating from the equilibrium point L ₄. We also show that in the case of instability of L ₄ the trajectories starting in a vicinity of L ₄ remain in a finite domain forever. We give an upper bound of this domain. To carry out our investigation, we analyze the dynamics of a general Hamiltonian system with two degrees of freedom in the case of 1 : 1 resonance in detail.This revised version was published online in October 2005 with corrections to the Cover Date.     

Lambert problem solution in the hill model of motion

The goal of this paper is obtaining a solution of the Lambert problem in the restricted three-body problem described by the Hill equations. This solution is based on the use of pre determinate reference orbits of different types giving the first guess and defining the sought-for transfer type. A mathematical procedure giving the Lambert problem solution is described. This procedure provides step-by-step transformation of the reference orbit to the sought-for transfer orbit. Numerical examples of the procedure application to the transfers in the Sun–Earth system are considered. These examples include transfer between two specified positions in a given time, a periodic orbit design, a halo orbit design, halo-to-halo transfers, LEO-to-halo transfer, analysis of a family of the halo-to-halo transfer orbits. The proposed method of the Lambert problem solution can be used for the two-point boundary value problem solution in any model of motion if a set of typical reference orbits can be found.     

黄河三角洲湿地柽柳林生长动态密度结构的响应特征

为了阐明滨海湿地不同密度柽柳(Tamarix chinensis)林的生长动态,探索滨海湿地柽柳林的密度合理性,在黄河三角洲莱州湾南岸的山东昌邑海洋生态特别保护区内,利用标准木树干解析法,对10a生的3种密度(2400株/hm2、3 600株/hm2和4400株/hm2)的柽柳林地上生物量、林木生长动态和基径分布特征进行研究.结果表明,3种密度林分的地上生物量、树高生长量和林木基径生长过程差别较大.随着林分密度增大,林木单株生物量和基径减小,但单位面积林分生物量增加;树高、基径的速生期都出现滞后现象.3种密度林分基径分布的偏度系数(SK)差别较大;密度为3 600株/hm2林分的SK值为0.085,接近正态分布,林分密度结构和基径分布较为合理;密度为2 400株/hm2和4 400株/hm2林分的SK值分别为-0.842和0.303,偏离正态分布,林分密度结构不合理.密度为2 400株/hm2林分的峰度系数(K)为0.017,林木生长相对整齐;密度为3 600株/hm2和4 400株/hm2林分的K值相差不大;密度因素对林木分化作用较小.若不考虑10a间的林木间伐利用,该区柽柳人工造林合理的初植密度建议为3 600株/hm2(株行距约2.0 m×2.0 m).     

青藏高原4月陆面状况和地表加热异常与中国夏季降水的联系

利用1981—2002年GIMMS-NDVI资料、中国西部数据中心提供的雪深长时间序列数据集、中国753个测站降水资料及ECMWF再分析地表通量资料,通过相关和合成分析等统计方法,探讨了青藏高原(下称高原)4月植被覆盖、积雪异常与地表加热异常和与后期中国夏季降水之间的联系。结果表明,高原4月的陆面状况与同期的地表加热存在密切的联系,植被覆盖和积雪深度的变化具有较好的一致性;高原植被覆盖(积雪)主要影响地表感热(潜热)通量,从而改变高原地区的地表加热;高原地表加热和中国夏季降水存在较为密切的关系。就年际异常而言,前期高原地表加热异常与长江以南地区6月降水存在明显的负相关,与7月降水的显著负相关区域主要位于华北、东北地区,与8月降水的显著负相关区主要位于长江中上游及淮河一带。相比之下,前期高原地表加热与夏季降水的年际增幅异常之间存在更为密切的联系,即前期高原地表加热年际增幅异常与长江以南及西南部分地区6月降水年际增幅异常为负相关,而与7、8月降水年际增幅异常主要呈南正北负的分布特征。     

青藏高原区域性积雪增量序列及其变化特征

利用青藏高原83个气象台站的逐日积雪观测资料,充分考虑每次降雪过程所引起的积雪变化,建立了该地区1960-2007年度的区域性积雪增量序列,并讨论了其长期变化特征.结果表明:(1)积雪增量序列具有其他积雪参数指标的代表性,又较其他积雪参数指标序列有明显的统计学优点.(2)在48个年度里,1960-1966年度青藏高原区域性积雪增量处于负位相,1967-1998年度为多雪的正位相,1999-2007年度又为少雪的负位相,其中1998年度是个具有显著性的突变点.     

气象数据文件快速下载服务系统的设计与实现

有效地为专业和业务用户提供快速批量下载气象数据服务,需要一种新型数据服务系统,以弥补现有气象数据共享服务系统的不足。该文在分析气象资料服务系统发展阶段和技术特点的基础上,根据业务需求设计了一个基于元数据技术的、针对专业和业务用户的、能快速批量下载数据的新型气象资料服务系统。该系统基于前台应用系统和后台管理系统实现了批量下载、文件目录导航、数据同步更新、多线程断点续传、安全管理和灵活配置等功能。该系统是对气象资料服务方式的一种全新设计,系统发布后得到专业用户的肯定,具有广泛的推广价值,对气象数据服务系统的技术开发有较好的参考作用。