渤海海效应暴雪的三维热力结构特征

采用烟台多普勒天气雷达、天气图等观测资料和中尺度模式(RAMS4.4)进行数值模拟,分析了2008年12月4~6日发生的一次海效应暴雪的时空分布和三维热力结构特征。结果表明:(1)渤海海效应降雪并非传统认为的仅发生在蓬莱以东的山东半岛地区,而是广泛分布于山东半岛、莱州湾、渤海中东部和黄海西部洋面上;降雪源地有暖海面和陆地,即莱州湾、渤海中部至渤海海峡和山东半岛。(2)浅层对流是海效应降雪的重要热力特征,当强冷空气流经渤海时,暖海面通过湍流交换等作用向冷空气底层输送感热和潜热,使得低层增温增湿,产生对流层中上层干冷低层暖湿的对流性不稳定。(3)冷空气的强弱影响渤海暖海面及山东半岛地区的垂直热力结构,导致降雪强度在不同时段存在显著差异。海气温差与热通量成正比,初期冷空气弱,对流层中低层的垂直温差小,海面上空的暖湿层浅薄,不稳定能量弱,产生的降雪量小;中后期冷空气强盛,对流层中低层的垂直温差大,暖湿层较为深厚,不稳定能量增强,导致降雪强度和降雪量大。(4)与单一要素温度和湿度相比,对流层低层相当位温的水平分布对强降雪落区具有更好的指示意义,强降雪发生在高相当位温脊线附近。     

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Large-scale convective dynamos in a stratified rotating plane layer

We study the effect of stratification on large-scale dynamo action in convecting fluids in the presence of background rotation. The fluid is confined between two horizontal planes and both boundaries are impermeable, stress-free and perfectly conducting. An asymptotic analysis is performed in the limit of rapid rotation (τ???1 where τ is the Taylor number). We analyse asymptotic magnetic dynamo solutions in rapidly rotating systems generalising the results of Soward [A convection-driven dynamo I. The weak field case. Philos. Trans. R. Soc. Lond. A 1974, 275, 611–651] to include the effects of compressibility. We find that in general the presence of stratification delays the efficiency of large-scale dynamo action in this regime, leading to a reduction of the onset of dynamo action and in the nonlinear regime a diminution of the large-scale magnetic energy for flows with the same kinetic energy.     

A nonlinear stability analysis of convection in a generalized incompressible fluid

Abstract

We establish a nonlinear stability result for convection in a generalized incompressible fluid. Both numerical calculations and an asymptotic analysis are carried out. The linear and nonlinear results are shown to be very close in both cases, implying that the region of possible subcritical instabilities is very small.

During this work I was supported by a research studentship awarded by the Science and Engineering Council of the United Kingdom.     

Two-and three-dimensional linear convection in a rotating annulus

Abstract

An exceptional case to the model-independent theory of Knobloch (1995) is presented, by investigating a rotating cylindrical annulus of height H and side wall radii r _o and r _i, with non-slip, perfectly thermally conducting side walls and thermally insulating stress-free ends. Radial heating permits the possibility of either two- or three-dimensional convective solutions being the preferred mode. An analytical solution is obtained for the two-dimensional case and a numerical solution for the three-dimensional solution, which is also applied to the two-dimensional solution. It is shown that both two- and three-dimensional solutions can be realized depending on the aspect ratio, γ = H/d, where d = r _o-r _i is the thickness of the annulus, the radii ratio λ = r _i/r _o and the rotation rate of the model. For γ = O(1) and λ = 0.4, the preferred convective solution is three-dimensional when the Taylor number, T < 10² and two-dimensional for T > 10². For small aspect ratios, γ ? 1, the preferred mode is two-dimensional for all rotation rates.     

Some remarks on cumulus parameterization

A simple parameterization of cumulonimbus convective heating is presented. The model is primarily based on preserving a moisture budget and on detraining cloud air at levels corresponding to the neutral buoyancy of the air converged at low levels. Results are compared with data from the western Pacific and GATE. Agreement is good. Suggestions are offered for improving the model and extending it to other regions.     

Numerical Modelling of Melting Processes and Induced Diapirism In the Lower Crust

The processes of partial melting and magmatic diapirism within the lower crust are evaluated using a numerical underplating model. Fully molten basalt ( T = 1200°C) is emplaced at the Moho beneath a solid granite ( T = 750°C) in order that a melt front grows into the granite. If diapirism does not occur, this melt front in the granite reaches a minimal depth in the crust before (like in the molten basalt) crystallization takes place. the density contrast between the partially molten granite layer and the overlying solid granite can lead to a Rayleigh-Taylor instability (RTI) which results in diapiric rise of the partially molten granite. Assuming a binary eutectic system for both the granite and the underplating basalt and a temperature- and stress-dependent rheology for the granite, we numerically solve the governing equations and find (a) that diapirism occurs only within a certain but possibly realistic range of parameters, and (b) that if diapirs occur, they do not rise to levels shallower than 15 or perhaps 12km. the growth rate depends on the degree of melting and the thickness of the partially molten layer, as well as the viscosity of the solid and the partially molten granite. From a comparison of the growth rate with the velocity of a Stefan front it is possible to predict whether a melt front will become unstable and result in diapiric ascent or whether a partially molten layer is created, which remains at depth. We carry out such a comparison using our thermodynamically and thermomechanically consistent model of melting and diapirism.