Simulation of East Asian Summer Monsoon by Using an Improved AGCM

The IAP 2-L AGCM is modified by introducing a set of climatological surface albedo data into the model for substituting the model’s original surface albedo parameterization. The comparison between the observations and the simulation results by the modified model shows that the general features of the East Asian summer monsoon can be well reproduced by the modified IAP 2-L AGCM. Especially for the simulation of monsoon precipitation, the modi-fied model can well reproduce not only the monthly mean features of the summer monsoon rainfall over East Asia, but also the stepwise advance and retreat of the East Asian summer monsoon rainbelt. Analysis results demonstrate that the good simulation of the monsoon rainfall is closely related to the reasonable simulation of the large scale gen-eral circulation over East Asian region, such as the western Pacific subtropical high, Asian monsoon low and the low level flows. The good performance of the modified model in the rainfall simulation shows its great potential to serve as a useful tool for the prediction of summer drought / flood events over East Asia.     

梅雨期高层流场对低层急流及中尺度系统影响的数值试验

用中尺度模式对一次江淮流域暴雨过程进行了数值试验，并研究了对流层高层青藏高压东侧偏北大风的强弱与低层流场及中尺度系统发生及至降水过程的影响。试验不仅较成功地模拟了本次暴雨过程及相应的系统，而且揭示出较强的高空偏北大风将引起对低空急流的加强。而更为重要的是低层切变线的出现以及其上中尺度涡旋的发生。上下风场所构成的垂直反环流圈大大有利于对流的发展，特别是在切变线地区的上升支，带有明显的中尺度特征。     

气流越过山谷的一个数值试验

本文应用一个二维定常模式对气流越过不同水平宽度和深度的山谷地形产生的动力学效应进行了考察,结果表明:山谷上空的扰动涡旋受基本气流(?)、山谷深度(?)及水平宽度(2L)的制约。例如,当(?)=6米·秒~(-1),(?)/L>1时,在山谷上有两个扰动涡旋,而当U=6米·秒~(-1),δ/L<1时,只有一个扰动涡旋。     

大中地形对近地面层流场影响的数值模拟

本文对Mass,C.F.等的一层边界层原始方程诊断模式进行了适当修改,用于诊断大、中尺度地形对近地面风场的动力影响。结果表明:(1)它可用来诊断地形对地面气流的动力影响,具有计算量小和一定的模拟能力;(2)1月地面在高原东北侧陕甘宁地区形成反气旋环流中心和从高原北部35°N经高原东部边缘到高原东南角附近地面形成风向辐合线,可能主要受高原的动力影响所致。(3)由于祁连山对1月西风气流的影响,在它的附近形成中尺度气候系统。这些情况与资料分析结果比较一致。     

A survey of numerical methods for stochastic differential equations

The development of numerical methods for stochastic differential equations has intensified over the past decade. The earliest methods were usually heuristic adaptations of deterministic methods, but were found to have limited accuracy regardless of the order of the original scheme. A stochastic counterpart of the Taylor formula now provides a framework for the systematic investigation of numerical methods for stochastic differential equations. It suggests numerical schemes, which involve multiple stochastic integrals, of higher order of convergence. We shall survey the literature on these and on the earlier schemes in this paper. Our discussion will focus on diffusion processes, but we shall also indicate the extensions needed to handle processes with jump components. In particular, we shall classify the schemes according to strong or weak convergence criteria, depending on whether the approximation of the sample paths or of the probability distribution is of main interest.     

Investigating the use of a rational Runge Kutta method for transport modelling

An unconditionally stable explicit time integrator has recently been developed for parabolic systems of equations. This rational Runge Kutta (RRK) method, proposed by Wambecq¹ and Hairer², has been applied by Liu et al.³ to linear heat conduction problems in a time-partitioned solution context. An important practical question is whether the method has application for the solution of (nearly) hyperbolic equations as well.In this paper the RRK method is applied to a nonlinear heat conduction problem, the advection-diffusion equation, and the hyperbolic Buckley-Leverett problem. The method is, indeed, found to be unconditionally stable for the linear heat conduction problem and performs satisfactorily for the nonlinear heat flow case. A heuristic limitation on the utility of RRK for the advection-diffusion equation arises in the Courant number; for the second-order accurate one-step two-stage RRK method, a limiting Courant number of 2 applies. First order upwinding is not as effective when used with RRK as with Euler one-step methods. The method is found to perform poorly for the Buckley-Leverett problem.     

Use of backpropagation neural network for landslide monitoring: a case study in the higher Himalaya

Static and dynamic rock slope stability analyses were performed using a numerical discontinuum modelling technique for a 700-m high rock slope in western Norway. The rock slope has been investigated by the Geological Survey of Norway (NGU), which has been carrying out rock slide studies for the county Møre and Romsdal in western Norway. The purpose of numerical modelling was to estimate the volume of the rock mass that could potentially slide under static and dynamic forces. This estimation was required to assess the run-up heights (tsunami) in a fjord that could potentially be caused by the rockslide. Three cases have been simulated for predicting the behaviour of the rock slope. First, an initial static loading is applied in the numerical model to simulate the prevailing rock mass conditions at the site. Second, saturated and weathered joint conditions are modelled by reducing the residual friction angle along the discontinuities of the rock mass. In doing so, the model simulates the effect of degradation of discontinuities in the rock slope. Third, a dynamic loading, based on peak ground accelerations expected in the area, is applied to simulate dynamic earthquake conditions.

These numerical studies have provided some useful insights into the deformation mechanisms in the rock slope. Both sliding and rotation of blocks start to occur once the residual friction angle along the discontinuities is reduced and when the region is shaken by a strong earthquake. The results indicate that, due to variations in the inclination of discontinuities, the entire slope does not become unstable and that down-slope sliding and rotation of blocks occur mainly on the top layers of the slope. Within the range of parameter values considered for this study, it is unlikely that the whole rock slope can be destabilised. The study provides an illustration of how the geo-mechanical properties of a rock mass can be integrated in a discontinuum rock slope model, which is used for predicting the behaviour of the slope under existing environmental and earthquake conditions. This model has helped not only to better understand the dynamics of the rockslide but also to estimate the potential rock volume that can become unstable when subjected to static and dynamic loads.     

多矿物岩石流变性的有限元计算

本文利用有限元计算方法从单矿物的流变关系式来确定其组合而成的岩石整体的流变规律建互了三维不可压缩流体的粘弹性有限元模型，计算模型的骨架矿物橄榄石为立方体，填充矿物尖晶石分别取为立方体、单一球体和多个球体，模拟双矿物在三轴压缩实验条件下的蠕变变形过程。首先，本文验证了使用有限元方法数值模拟双矿物在三轴压缩实验下的蠕变变形的可行性。其次，计算研究了当填充矿物为弱矿物时几何外形对整体流变强度的影响，结果表明，填充矿物的几何外形为立方体时比球体时对整体的流变强度有更大的影响。当填充矿物体积不同时，随着填充矿物体积的增加，填充矿物对整体流变强度的影响也不断加大。最后利用三维模型得到的双矿物整体的流变强度结果，归纳出了填充矿物尖晶石占体积5％，10％，15％，20％时和骨架矿物橄榄石构成的双矿物岩石的蠕变关系式。与Tullis利用平面应变模型归纳出的双矿物经验流变关系式比较，发现Tullis的经验流变公式存在较大的误差，而本文得到的双矿物蠕变公式与理论结果更好地符合、本文结果为研究地幔多矿物岩石流变规律提供了新的途径。     

Tidal flow asymmetry in the diurnal regime: bed-load transport and morphologic changes around the Red River Delta

The relation between tidal flow asymmetry and net transport of sediment in the semidiurnal regime has been extensively described. This study reveals that in the diurnal regime, the direction of long-term net bed-load transport and resulting morphologic changes is partly determined by the phase-angle relationship of O₁, K₁, and M₂. Simple analytical formulations of time-averaged bed-load transport were derived which separate the relative contributions of tidal asymmetry from that of residual flow with tidal stirring. In this particular case, the Red River Delta in Vietnam, transports related to tidal asymmetry are larger than those induced by the monsoon currents, and are an order of magnitude larger than those associated with topographic residual flow around the delta. Tide-induced morphologic changes dominate at water depths between 10 and 25 m, of which the patterns of erosion and deposition overlap with observed bathymetric changes. Additional observed changes that occur in more shallow water cannot be explained by tidal asymmetry and are probably related to wave action and to deposition from the buoyant river plume.Responsible Editor: Jens Kappenberg