Modeling nonlinear wave–wave interactions with the elliptic mild slope equation

An approach is developed to simulate wave–wave interactions using nonlinear elliptic mild-slope equation in domains where wave reflection, refraction, diffraction and breaking effects must also be considered. This involves the construction of an efficient solution procedure including effective boundary treatment, modification of the nonlinear equation to resolve convergence issues, and validation of the overall approach. For solving the second-order boundary-value problem, the Alternating Direction Implicit (ADI) scheme is employed, and the use of approximate boundary conditions is supplemented, for improved accuracy, with internal wave generation method and dissipative sponge layers. The performance of the nonlinear model is investigated for a range of practical wave conditions involving reflection, diffraction and shoaling in the presence of nonlinear wave–wave interactions. In addition, the transformation of a wave spectrum due to nonlinear shoaling and breaking, and nonlinear resonance inside a rectangular harbor are simulated. Numerical calculations are compared with the results from other relevant nonlinear models and experimental data available in literature. Results show that the approach developed here performs reasonably well, and has thus improved the applicability of this class of wave transformation models.     

Efficient DEM‐based overland flow routing using integrated recursive algorithms

Two primary concerns in performing watershed overland flow routing are the numerical instability and computational efficiency. The stability of executing an explicit scheme has to be maintained by observing the Courant–Friedrich–Lewy criterion, which is adopted to confirm that the numerical marching speed is larger than the wave celerity. Moreover, there is another criterion of time step devised in previous studies to avoid back‐and‐forth refluxing between adjacent grids. The situation of refluxing usually occurs on flat regions. In light of this, the selection of a small time increment to honor both restrictions simultaneously is believed to decrease the computational efficiency in performing overland flow routing. This study aims at creating a robust algorithm to relax both restrictions. The proposed algorithm was first implemented on a one‐dimensional overland plane to evaluate the accuracy of the numerical result by comparing it with an analytical solution. Then, the algorithm was further applied to a watershed for 2D runoff simulations. The results show that the proposed integrated algorithm can provide an accurate runoff simulation and achieve satisfactory performance in terms of computational speed.     

Application of the numerical manifold method for stress wave propagation across rock masses

In this paper, the numerical manifold method (NMM) is extended to study wave propagation across rock masses. First, improvements to the system equations, contact treatment, and boundary conditions of the NMM are performed, where new system equations are derived based on the Newmark assumption of the space–time relationship, the edge‐to‐edge contact treatment is further developed for the NMM to handle stress wave propagation across discontinuities, and the viscous non‐reflection boundary condition is derived based on the energy minimisation principle. After the modification, numerical comparisons between the original and improved NMM are presented. The results show that the original system equations result in artificial numerical damping, which can be overcome by the Newmark system equations. Meanwhile, the original contact scheme suffers some calculation problems when modelling stress wave propagation across a discontinuity, which can be solved by the proposed edge‐to‐edge contact scheme. Subsequently, the influence of the mesh size and time step on the improved NMM for stress wave propagation is studied. Finally, 2D wave propagation is modelled, and the model's results are in good agreement with the analytical solution. Copyright © 2013 John Wiley & Sons, Ltd.     

Simulation of site-scale water fluxes in desert and natural oasis ecosystems of the arid region in Northwest China

The study of water fluxes is important to better understand hydrological cycles in arid regions. Data-driven machine learning models have been recently applied to water flux simulation. Previous studies have built site-scale simulation models of water fluxes for individual sites separately, requiring a large amount of data from each site and significant computation time. For arid areas, there is no consensus as to the optimal model and variable selection method to simulate water fluxes. Using data from seven flux observation sites in the arid region of Northwest China, this study compared the performance of random forest (RF), support vector machine (SVM), back propagation neural network (BPNN), and multiple linear regression (MLR) models in simulating water fluxes. Additionally, the study investigated inter-annual and seasonal variation in water fluxes and the dominant drivers of this variation at different sites. A universal simulation model for water flux was built using the RF approach and key variables as determined by MLR, incorporating data from all sites. Model performance of the SVM algorithm (R² = 0.25–0.90) was slightly worse than that of the RF algorithm (R² = 0.41–0.91); the BPNN algorithm performed poorly in most cases (R² = 0.15–0.88). Similarly, the MLR results were limited and unreliable (R² = 0.00–0.66). Using the universal RF model, annual water fluxes were found to be much higher than the precipitation received at each site, and natural oases showed higher fluxes than desert ecosystems. Water fluxes were highest during the growing season (May–September) and lowest during the non-growing season (October–April). Furthermore, the dominant drivers of water flux variation were various among different sites, but the normalized difference vegetation index (NDVI), soil moisture and soil temperature were important at most sites. This study provides useful insights for simulating water fluxes in desert and oasis ecosystems, understanding patterns of variation and the underlying mechanisms. Besides, these results can make a contribution as the decision-making basis to the water management in desert and oasis ecosystems.     

The behavior of magneto-acoustic-gravity waves near the cusp resonance in a lossless,compressible, isothermal,stratified, electrically conducting and uniformly magnetized atmosphere. II: The valve effect

Abstract

In the present paper the behavior of (internal) magneto-acoustic-gravity waves near the cusp resonance in a lossless, compressible, isothermal, stratified, electrically conducting atmosphere that is permeated by a uniform, nearly horizontal magnetic field is re-addressed (Kamp, 1989). The previously analyzed linear conversion of long acoustic-gravity waves into short magneto-acoustic waves that carry off the energy from the resonance region along the magnetic field, is re-analyzed with boundary layer techniques that are based on the smallness of the vertical component of the magnetic field. More specifically the existence of the so-called valve effect for the generated magneto-acoustic mode near the critical level is explicitly demonstrated and shown to be governed by two rivalling effects.     

基于改进随机蕨算法的GIS增强现实应用研究

随机蕨算法由于其简单高效,实时性好的特点,在计算机视觉领域得到了广泛的应用。但是其在构造二值特征过程中采用的基于像素点灰度值比较的方法对图像变形的适应性较差。本文基于方向梯度直方图对光照变化,图像变形鲁棒性较好的特点,利用统计方向梯度直方图取代像素灰度值进行比较,以此构造特征点二值特征。基于改进的随机蕨算法,本文设计了一种将增强现实技术(AR)应用于GIS的框架模型。实验结果表明,经过改进的随机蕨算法对目标识别的正确率得到了有效提升,且算法的实时性较好,适用于GIS的增强现实应用。     

高建筑对周围建筑雷击保护距离的模拟

在已有先导连接参数化方案的基础上,选取近地面层为研究区域,保持方案中其他基本参量不变,通过改变闪电的空间形态,在同一建筑分布的背景下进行多次闪电模拟。研究多个建筑之间的屏蔽作用以及建筑雷击保护距离与建筑相关特征参数之间的关系,结果表明:高建筑对矮建筑具有屏蔽作用,并存在一个临界保护距离,当高、矮建筑高度分别为190 m和165 m,宽度均为20 m时,建筑之间的距离在12 m以内,矮建筑受高建筑完全保护不遭受雷击;建筑之间的距离超过12 m,矮建筑遭雷击次数明显增多。     

基于LLS的雷电流波头时间分布特征

利用湖北省2007—2013年雷电定位系统(Lightning Location System,LLS)监测的雷电流相关参数资料,采用数理统计方法,对雷电流波头时间的年、季、月、日变化以及累积概率和概率密度分布进行了统计分析。结果表明,正闪电平均波头时间为4.8μs,负闪和总闪电为3.6μs;一年中,正闪电7月波头时间最短,月变化特征大致呈"V"形;负闪和总闪电5—7月波头时间比其他月份短,月变化特征大致呈"U"形。正闪电波头时间季节、日变化明显,负闪和总闪电季节、日变化不明显。波头时间小于等于10μs时,正闪、负闪和总闪电的波头时间累积概率分别为95.5%、99.7%和99.6%,总闪电95%的波头时间大于1.5μs,50%的大于3.1μs,5%的大于6.0μs。波头时间在2~3μs时,正闪、负闪和总闪电的概率密度最大。气温较低月份,波头时间相对较长,反之,波头时间相对较短,其原因可能与雷电流幅值大小有关,具体原因有待进一步研究。     

强厄尔尼诺事件下2016年1月中国南方超级寒潮的动力学机制:瞬变波对大气长波异常的调制

本文采用Plumb三维波活动通量和局地Eliassen-Palm通量诊断方法,利用欧洲中期天气预报中心的逐日再分析资料ERA-Interim,分析了超强厄尔尼诺背景下2016年1月下旬中国南方超级寒潮的动力学机制：瞬变波对大气长波异常的调制。前期2015年12月的北大西洋海表热通量正异常,有助于后期大西洋阻塞形势的维持。大气长波能量沿大圆路径从大西洋阻高经乌拉尔地区向东亚中低纬度传播并在此辐合,导致了乌拉尔阻高和华北横槽的经向结构,更多强冷空气聚集在异常偏南的纬向槽线附近。寒潮爆发前夕,2支瞬变波列活跃在亚欧大陆。北支瞬变波列调制了北方的大气长波,使横槽转竖;南支瞬变波列协同调控了南方的大气长波,使南支印缅槽减弱;两者共同作用,促使冷平流大举南下,直达华南沿海,南方寒潮发生。