A modified Jacobi preconditioner for solving ill‐conditioned Biot's consolidation equations using symmetric quasi‐minimal residual method

This paper identifies imbalanced columns (or rows) as a significant source of ill‐conditioning in the preconditioned coefficient matrix using the standard Jacobi preconditioner, for finite element solution of Biot's consolidation equations. A simple and heuristic preconditioner is proposed to reduce this source of ill‐conditioning. The proposed preconditioner modifies the standard Jacobi preconditioner by scaling the excess pore pressure degree‐of‐freedoms in the standard Jacobi preconditioner with appropriate factors. The performance of such preconditioner is examined using the symmetric quasi‐minimal residual method. To alleviate storage requirements, element‐by‐element iterative strategies are implemented. Numerical experiment results show that the proposed preconditioner reduces both the number of iteration and CPU execution time significantly as compared with the standard Jacobi preconditioner. Copyright © 2001 John Wiley & Sons, Ltd.     

热力适应、过流、频散和副高 I.热力适应和过流

利用位涡性质,讨论了因非绝热加热导致的大气动力特征的变化,阐明了大气动力过程向外加热强迫适应的原理。证明在热力适应过程中,沿着加热区的侧边界斜压位涡为负,且大于正压位涡,那里的大气出现对称不稳定。在加热区的上空尽管非绝热加热为零,仍然存在上升、辐散、反气旋环流及冷中心,证明这是由于“过流”引起的。通过总位涡的收支分析证明,由于边界层的摩擦作用,加热区上空多余的负位涡向外排放而成为大气中负涡度的源地。     

四重旋转对称含裂隙双相各向异性介质中的地震波

基于各向异性介质和含裂隙双相介质中的地震波传播理论,导出了四重旋转对称含裂隙双相各向异性介质的本构关系与地震波传播的运动方程,并以平面波为例,进行了初步的分析研究．      

频率分析方法及其在历表表达方面的应用简介

本文介绍一种由Ｊ．Ｌａｓｋａｒ提出的、可以精确还原拟周期函数的主要拟周期项的频率分析方法,进而用该法给出一紧凑的月球物理天平动的近似拟周期表达,最后指出所介绍方法在研究具小耗散因素动力系统时的局限性并讨论有关对策。     

The Impact of Global Warming on the Pacific Decadal Oscillation and the Possible Mechanism简

The response of the Pacific Decadal Oscillation （PDO） to global warming according to the Fast Ocean Atmosphere Model （FOAM） and global warming comparison experiments of 11 IPCC AR4 models is investigated. The results show that North Pacific ocean decadal variability, its dominant mode （i.e., PDO）, and atmospheric decadal variability, have become weaker under global warming, but with PDO shifting to a higher frequency. The SST decadal variability reduction maximum is shown to be in the subpolar North Pacific Ocean and western North Pacific （PDO center）. The atmospheric decadal variability reduction maximum is over the PDO center. It was also found that oceanic baroclinic Rossby waves play a key role in PDO dynamics, especially those in the subpolar ocean. As the frequency of ocean buoyancy increases under a warmer climate, oceanic baroclinic Rossby waves become faster, and the increase in their speed ratio in the high latitudes is much larger than in the low latitudes. The faster baroclinic Rossby waves can cause the PDO to shift to a higher frequency, and North Pacific decadal variability and PDO to become weaker.     

Subseasonal coupling between subsurface subtropical front and overlying atmosphere in North pacific in winter

At least two main oceanic fronts (the subarctic and subtropical fronts) exist in the North Pacific. Especially in the subtropical frontal zone (STFZ), the sea subsurface temperature gradient is significantly larger than that of the surface layer in winter. Subseasonal interaction between the subsurface subtropical front and overlaying atmosphere is revealed by using empirical orthogonal function (EOF) analysis of oceanic temperature gradient. The first EOF mode mainly corresponds to the atmosphere-to-ocean influences. With the enhanced westerly wind, a cold sea surface temperature anomaly (SSTA) appears and then passes down to affect the subsurface ocean. However, the second EOF mode indicates the ocean-to-atmosphere forcing. For the second mode, cold oceanic temperature anomaly generates in the subsurface layer and passes up, which makes the SST gradient increasing. Due to the increasing atmospheric baroclinicity, the enhanced westerly wind leads to more heat fluxes from the ocean to the atmosphere, which results in a colder SSTA and a larger SST gradient in the STFZ. Therefore, a positive ocean-atmosphere feedback begins to maintain in the mid-latitude in winter.     

带流量控制的优先权排队

一个单队列两服务台的M/M/2排队系统有两类信元输入.第一类信元较第二类信元具有强占优先权,而且对第二类信元实施流量调控.用矩阵几何理论给出了两类顾客的稳态分布的求解方法,并借助Matlab软件给出了一个具体的例子.     

一次闽南暖区暴雨的多尺度动力过程

作为气象研究中的一个难点问题,暖区暴雨的动力学一直为学界所关注。基于多尺度子空间变换(MWT)以及基于MWT的局地多尺度能量学分析和正则传输理论,对2018年5月7日的一次闽南暖区暴雨进行研究以了解其多尺度动力过程。首先将原始物理量场重建到三个尺度子空间:背景流子空间、天气尺度子空间和暴雨子空间。重构场上可以很好地看出背景环流尺度的高低空急流,以及暴雨尺度上的垂直环流。以往的研究普遍认为暖区暴雨的动力过程具有弱斜压性这一特征,而就此次事件而言,正压失稳和斜压失稳都起着很关键的作用,暴雨主要落区内既发生了正压失稳,也发生了斜压失稳。研究表明,对流层不同高度上的动力学存在差异,低层主要表现为正压失稳,天气尺度子空间与背景流子空间向暴雨子空间传输的动能相当; 中层主要是混合失稳,除正压失稳外,斜压正则传输也将有效位能从背景流子空间传输到了暴雨子空间,再通过浮力转换将有效位能转为动能,从而维持暴雨在中层的动力过程; 高层则与低层相似,但只存在背景流子空间向暴雨子空间的能量传输。      

斯里兰卡以东海域涡旋偶极子的生成与维持机制

斯里兰卡岛以东海域在西南季风期间常会出现一对低频涡旋偶极子（即斯里兰卡穹顶气旋涡和反气旋涡）,对当地的海洋生态系统及气候有着重要影响。基于（1/12）°分辨率的混合坐标海洋模式（Hybrid Coordinate Oceanic Model,HYCOM）再分析资料以及多尺度子空间变换（MWT）和基于MWT的正则传输理论等方法,分析了它们的生成发展机制。结果发现这2个涡旋发展所需能量最终都来源于海表风应力做功,但具体可取3条完全不同的路径：①风应力直接驱动涡旋;②风应力驱动背景场的西南季风流,其后西南季风流发生正压不稳定以提供涡旋所需的涡动能;③西南季风流通过风应力做功获得的动能转换为有效位能,其后通过斜压不稳定给涡旋提供位能。涡旋最终衰亡的主要原因包括风应力对涡旋做功的减少、西南季风流正压不稳定的减弱、涡旋的能量频散以及低频涡向更高频扰动的正向能量级串。