Time splitting and linear stability of the slow part of the barotropic component     

Yves Morel  Remy Baraille  Annick Pichon   《Ocean Modelling》2008,23(3-4):73-81

In this paper, the authors analyse the stability of particular numerical schemes used in oceanic general circulation models to deal with the barotropic momentum advection term. It is shown that, when this term is integrated using time splitting, its stability properties can be drastically reduced in configurations where there exists shallow areas, where velocities become comparable to the propagation speed of external gravity waves. A simple alternative scheme with improved stability is proposed and discussed.  相似文献   

A comparison of two formulations of barotropic–baroclinic splitting for layered models of ocean circulation     

Robert L. Higdon   《Ocean Modelling》2008,24(1-2):29-45

In numerical models of ocean circulation, it is widespread practice to split the fast and slow motions into barotropic and baroclinic subsystems, respectively. In the case of the baroclinic equations, the dependent variables can either be (1) slowly-varying baroclinic quantities, obtained from splitting the original flow variables into barotropic and baroclinic components, or (2) the original unsplit variables, which can vary on both the fast and slow time scales. In the second case, the variables in each layer are adjusted after each (long) baroclinic time step to ensure compatibility with the results produced from the barotropic equations. The second approach can be applied to the layer thickness equation to ensure exact conservation of mass within each layer. In the case of the momentum equations, the second approach amounts to replacing unresolved fast portions of Coriolis and pressure forcing with time averages of well-resolved forcing from the barotropic system. In this study, both approaches for the momentum equations are evaluated, in several test problems, by comparing to analytical solutions or to solutions computed with an unsplit code that uses short time steps. The two methods give very similar results in some simple problems for which analytical solutions are known. However, in some eddying double-gyre simulations, the formulation with unsplit variables requires a significant reduction in the baroclinic time step in order to avoid numerical difficulties that include grid noise and inaccurate representation of the flow field. In contrast, the formulation with split variables does not display such difficulties, and in those same examples it can be used with zero explicit horizontal viscosity. All of these computations employ a two-level time-stepping method that was previously developed by the author.  相似文献   

首都圈西北部地区地壳介质地震各向异性特征初步研究   总被引：62，自引：24，他引：38       下载免费PDF全文

吴晶  高原  陈运泰  黄金莉 《地球物理学报》2007,50(1):209-220

本研究使用首都圈数字地震台网2002年01月～2003年12月的波形记录资料,采用SAM方法,进行了剪切波分裂的分析,得到首都圈西北部地区地壳介质地震各向异性的初步结果.根据对有3条以上可靠记录的14个台站的统计分析,得到首都圈西北部地区的剪切波分裂的统计平均结果为: 快剪切波平均偏振方向为NE699°±445°,慢剪切波平均时间延迟为444±293（ms/km）.研究认为,NE699°±445°的快剪切波平均偏振方向暗示了该区域的水平主压应力方向,快剪切波偏振方向的第一优势取向揭示了NWW近E W方向的原地水平主压应力的构造意义,凸现了NWW向的张家口—蓬莱断陷带.通过快剪切波偏振方向,本研究进一步证实,位于活动断裂上的台站的快剪切波偏振方向的优势取向与断裂走向一致,认为南口—孙河断裂和夏垫断裂是两个活动断裂,而八宝山断裂可能是个并不太活跃的活动断裂.华北盆地里的快剪切波偏振方向显示出复杂的分布特征,对应了盆地凹陷区里许多断裂互相交汇造成区域主压应力场受到局部调整的复杂图像.研究还认为慢剪切波时间延迟急剧的梯度变化可能与地壳深部的温度变化有关联.  相似文献   

在不同应力下石墨烯中拉曼谱的G峰劈裂的变化     

陈东猛 《海洋学报》2010,32(9):6399-6404

应用计及五阶近邻的力常数模型,研究了单轴应力下的石墨烯和芳香烃分子三明治型贴层的石墨烯中拉曼谱的G峰劈裂.计算结果表明对称性的降低解除了G峰对应的在Γ点的面内的纵波光学模声子和横波光学模声子能量简并,从而G峰劈裂为G⁺和G^- 两个峰.在单轴应力作用下,C—C键的伸长致使力常数减小,软化了面内的光学模声子,导致两个G峰都红移;芳香烃分子对石墨烯产生的沿分子长短边方向不同的应力作用,使得G峰对应的两支光学模声子的频率一支发生蓝移,而另一支发生红移.这  相似文献   

正断层崩积楔粒度特征及沉积环境     

刘旭东  张世民 《地震地质》2007,29(4):813-825

通过对崩积楔沉积物进行粒度特征分析,研究崩积楔形成时的沉积条件和环境特征。沿系舟山北麓断裂,具体分析了水峪剖面、湖村剖面上各期崩积楔共21个样品的粒度及粒度参数。在崩积楔体中,砾、砂、黏土等各个粒级均有较大范围的分布,其中砾级总体概率含量达50%～70%。粒度分布为多峰态,分选差,偏度为极正偏,尖峰度>1,说明崩积楔是以砾级为主体的非均一性混杂堆积。崩积楔样品与作为物源的断层下盘样品的粒度分析对比表明,作为一种近源堆积,崩积楔的粒度特征与其下盘沉积物在粒度分布上有一定的继承性  相似文献   

苏北石桥岩群沉积环境及其大地构造意义探讨   总被引：2，自引：1，他引：1  

樊金涛 《江苏地质》2000,24(3):129-134

石桥岩群是一套浅变质的正常沉积碎屑岩,同位素地质年龄Ｍａ。岩石富ＳｉＯ２、Ｋ２Ｏ、ＲＥＥ,贫Ａｌ２Ｏ３、Ｍｎｏ、Ｃａ、Ｎａ２Ｏ、Ｓｒ,Ｋ２Ｏ／Ｎａ２Ｏ、ＳｉＯ２／ＡｌＯ３比值高,铕负异常明显,表明它是伸展型断陷盆地边缘之河口浅海环境中沉积的稳定型复理式建造。它揭示苏胶造山带在晋宁期造山后的震旦纪开始裂解,是Ｒｏｄｉｎａ超大陆震旦纪裂解的组成部分。  相似文献