The pulse of citizenship: reflections on Griffith Taylor and ‘nation‐planning‘

This exercise in a type of applied historiography begins by annotating aspects of reform in Western education from the 1880s to the 1930s, an interval which exhibits the responses of ‘new’ subjects to political and social demands for improved civics education, and encompasses the inauguration of a recognisably ‘academic’ geography in Australia. Designedly, since the nominated period also incorporates the early life and career of pioneering geographer Griffith Taylor, the discussion probes beneath the strata of obfuscatory generalisation to relate one individual's engagement with the vortex of change. More specifically, it extracts a few lessons from Taylor's approach to ‘Nation‐Planning’ to suggest an appropriate orientation to current reformism in Australian education. It is argued that, while this trend questions the civic utility of established disciplines, it has been badly served by a disturbing ignorance of the social and intellectual heritage of the subjects under challenge.     

多孔介质中两相可压缩可混溶驱动的GALERKIN方法

多孔介质中两相可压缩可混溶驱动问题由一对耦合的非线性方程来描述.Douglas在忽略弥散效应的情况下,讨论了该方程的半离散Galerkin求解方法,并得到了解的最优的L2模误差估计.文章讨论了在考虑弥散效应的情况下该方程的半离散Galerkin方法,并得到了饱和度方程解的最优L2模误差估计.     

旋转球体上二维水体长波的一个典型驻波问题

通过分析等深矩形海湾里的潮波运动,研究了旋转球体（地球）上二维水体长波的一个典型驻波问题。分析对比该二维驻波和一维驻波,可以看出前者的图形比后者要复杂得多,但其规律性却是十分明显的;其中最主要的特征是空间上相间配置的无潮点和圆流点。由矩形海湾里潮波能量传播的分析可知,判断该二维驻波的运动学特征,主要应从波动的宏观结构着眼,而不是像一维的那样判断有无能量的传播。文章着重从理论上进行分析,但是在实际海洋中不乏这种潮波运动的广泛例证。     

A new computational strategy for solving two‐phase flow in strongly heterogeneous poroelastic media of evolving scales

We develop a new computational methodology for solving two‐phase flow in highly heterogeneous porous media incorporating geomechanical coupling subject to uncertainty in the poromechanical parameters. Within the framework of a staggered‐in‐time coupling algorithm, the numerical method proposed herein relies on a Petrov–Galerkin postprocessing approach projected on the Raviart–Thomas space to compute the Darcy velocity of the mixture in conjunction with a locally conservative higher order finite volume discretization of the nonlinear transport equation for the saturation and an operator splitting procedure based on the difference in the time‐scales of transport and geomechanics to compute the effects of transient porosity upon saturation. Notable features of the numerical modeling proposed herein are the local conservation properties inherited by the discrete fluxes that are crucial to correctly capture the fingering patterns arising from the interaction between heterogeneity and nonlinear viscous coupling. Water flooding in a poroelastic formation subject to an overburden is simulated with the geology characterized by multiscale self‐similar permeability and Young modulus random fields with power‐law covariance structure. Statistical moments of the poromechanical unknowns are computed within the framework of a high‐resolution Monte Carlo method. Numerical results illustrate the necessity of adopting locally conservative schemes to obtain reliable predictions of secondary recovery and finger growth in strongly heterogeneous deformable reservoirs. Copyright © 2011 John Wiley & Sons, Ltd.     

Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach

In this paper, we examine heuristically the reasons for locking in poroelasticity. As a first step, we first reexamine the problem of locking in linear elasticity. From this, we discover how the problem arises in the poroelasticity setting and how the problem might be overcome.     

Experimental investigation of stratorotational instability using a thermally stratified system: instability,waves and associated momentum flux

Stratorotational instability (SRI) has been proposed as a mechanism for outward angular momentum transport in Keplerian accretion disks. A particular designed Taylor–Couette laboratory experiment with axial stratification is suitable for studying the instability. Bottom endplate is cooled and top endplate is heated to achieve axial stratification. Due to constructive constraints, endplates are visually unamenable and quantitative measurement techniques in the co-rotating frame can only be done by looking through the outer cylinder. For this purpose, we built a co-rotating mini-PIV (Particle Image Velocimetry) system with a camera having a tilted viewing angle regarding the horizontal laser sheet. The aim of this study is (i) to quantify the uncertainty of the mini-PIV together with the used calibration technique and (ii) to compare experimental findings on SRI with theoretical predictions.

We perform measurements of the azimuthal and radial component of the velocity in axial stably stratified Taylor–Couette flows, consider velocity profiles and do frequency-filtering and flow decomposition. The absolute error of the mini-PIV system is 2% and we realised that stratified Taylor–Couette flows have smaller Ekman endwall effects than homogeneous ones. Still, Ekman pumping has an impact of the flow and might be responsible for differences between the data and theoretical models ignoring the endwalls. Here we focus on the flow structure during transition to SRI, the drift rate of SRI modes and the radial momentum flux as a function of the Reynolds number. Whereas the structure in form of trapped boundary Kelvin modes and the drift rate corresponds well with earlier predictions, the momentum flux shows a nonlinear dependency with respect to the Reynolds number. Away from the region of transition, theoretical models show a linear relationship. Several possible reasons for the mismatch between the experimental and theoretical models are discussed. Most important, we experimentally demonstrated that in the Rayleigh stable flow regime the SRI can provide a significant amount of outward momentum flux which makes this instability interesting in the context of accretion disks and also of atmospheric vortices where rotation and stratification also play a significant role.     

东亚地磁场模型的计算与分析

根据中国、前苏联和蒙古等地区的地磁复测点和地磁台站资料,使用泰勒多项式方法和冠谐分析方法,计算东亚地磁场(X,Y,Z)的泰勒多项式模型和冠谐模型,以及东亚剩余磁场(ΔX,ΔY,ΔZ)的冠谐模型和泰勒多项式模型,并绘制了相应的理论地磁图. 泰勒多项式模型的展开原点位于45°N和100°E,截断阶数为7.地磁场泰勒多项式模型的均方偏差为:X分量是133.0nT,Y分量是107.4nT,Z分量是14.0nT. 球冠极点位于45°N和100°E,球冠半角为42°,冠谐模型的截断阶数为10. 剩余磁场冠谐模型的均方偏差分别为131.2nT(ΔX),112.6nT(ΔY)和13.7nT(ΔZ). 对比分析了上述两种模型. 提出了确定区域模型截断阶数的判据.