Velocity potential formulations of highly accurate Boussinesq-type models

The highly accurate Boussinesq-type equations of Madsen et al. (Madsen, P.A., Bingham, H.B., Schäffer, H.A., 2003. Boussinesq-type formulations for fully nonlinear and extremely dispersive water waves: Derivation and analysis. Proc. R. Soc. Lond. A 459, 1075–1104; Madsen, P.A., Fuhrman, D.R., Wang, B., 2006. A Boussinesq-type method for fully nonlinear waves interacting with a rapidly varying bathymetry. Coast. Eng. 53, 487–504); Jamois et al. (Jamois, E., Fuhrman, D.R., Bingham, H.B., Molin, B., 2006. Wave-structure interactions and nonlinear wave processes on the weather side of reflective structures. Coast. Eng. 53, 929–945) are re-derived in a more general framework which establishes the correct relationship between the model in a velocity formulation and a velocity potential formulation. Although most work with this model has used the velocity formulation, the potential formulation is of interest because it reduces the computational effort by approximately a factor of two and facilitates a coupling to other potential flow solvers. A new shoaling enhancement operator is introduced to derive new models (in both formulations) with a velocity profile which is always consistent with the kinematic bottom boundary condition. The true behaviour of the velocity potential formulation with respect to linear shoaling is given for the first time, correcting errors made by Jamois et al. (Jamois, E., Fuhrman, D.R., Bingham, H.B., Molin, B., 2006. Wave-structure interactions and nonlinear wave processes on the weather side of reflective structures. Coast. Eng. 53, 929–945). An exact infinite series solution for the potential is obtained via a Taylor expansion about an arbitrary vertical position z = zˆ. For practical implementation however, the solution is expanded based on a slow variation of zˆ and terms are retained to first-order. With shoaling enhancement, the new models obtain a comparable accuracy in linear shoaling to the original velocity formulation. General consistency relations are also derived which are convenient for verifying that the differential operators satisfy a potential flow and/or conserve mass up to the order of truncation of the model. The performance of the new formulation is validated using computations of linear and nonlinear shoaling problems. The behaviour on a rapidly varying bathymetry is also checked using linear wave reflection from a shelf and Bragg scattering from an undulating bottom. Although the new models perform equally well for Bragg scattering they fail earlier than the existing model for reflection/transmission problems in very deep water.     

关于非齐次马氏链的强极限定理

主要研究了非齐次马氏链的强极限定理.首先应用鞅差序列收敛定理给出了关于非齐次马氏链的任意k元函数一类平均值的极限定理.最后得到一系列相关状态序偶出现频率的推论.     

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冬、夏季渤黄海表层沉积物粒度特征差异及其成因分析

对渤海、黄海海域冬、夏两季表层沉积物取样,通过激光粒度仪得出粒度参数,进而分析讨论冬季强的沿岸流的作用、黄海暖流、夏季冷水团的影响以及地形、海底地貌特征、物源特征等对表层沉积物分布造成的影响。结果表明,冬、夏两季渤黄海表层沉积物粒度特征总体上相差不大,但部分海域如渤海中北部、渤海中南部、北黄海西北部近渤海海峡北部海域、山东半岛东北部海域、南黄海中部沉积物粒度特征存在明显季节性差异。表层沉积物粒度特征季节性差异与地形地貌、沿岸流、黄海暖流、黄海冷水团及物源密切相关。本研究对于探讨渤黄海不同季节表层沉积物沉积特征的影响机制、了解渤黄海区海洋动力过程的季节差异有积极意义。     

桑沟湾沉积碳库年汇入速率的长期变化及其区域性差异

对取自桑沟湾北西南三根柱样近200 a碳来源及埋藏通量的解析,分析了湾内不同站位各形态碳的差异性,进而对全湾碳埋藏进行了估算。湾内环流、贝藻养殖等造成湾内不同区域碳埋藏的差异;桑沟湾总碳（TC）平均量1.79%,有机碳（TOC）平均量0.54%,无机碳（TIC）平均量1.25%,TOC含量相对较小,为海陆混合来源,以陆源有机碳（C_t）为主,大规模人工养殖后,海源有机碳（C_a）有明显增加的趋势。桑沟湾碳埋藏通量平均为228.9 g/（m2·a）,以无机碳为主要埋藏形式（约占70%）,高的沉积速率及生物残骸沉降使桑沟湾养殖区碳的来源及埋藏区别于其他陆架海域。     

Solving the linearized forward-speed radiation problem using a high-order finite difference method on overlapping grids

The linearized potential flow approximation for the forward speed radiation problem is solved in the time domain using a high-order finite difference method. The finite-difference discretization is developed on overlapping, curvilinear body-fitted grids. To ensure numerical stability, the convective derivatives in the free-surface boundary conditions are treated using an upwind-biased stencil. Instead of solving for the radiation impulse response functions, a pseudo-impulsive Gaussian type displacement is employed in order to tailor the frequency-content to the discrete spatial resolution. Frequency-domain results are then obtained from a Fourier transform of the force and motion signals. In order to make a robust Fourier transform, and capture the response around the critical frequency, the tail of the force signal is asymptotically extrapolated assuming a linear decay rate. Fourth-order convergence of the calculations on simple geometries is demonstrated, along with a nearly linear scaling of the solution effort with increasing grid resolution. The code is validated by comparison with analytical and semi-analytical solutions using submerged and floating closed-form geometries. Calculations are also made for a modern bulk carrier, and good agreement is found with experimental measurements.     

米氏凯伦藻细胞表面膜蛋白质组及其对温度变化的响应研究

米氏凯伦藻(Karenia mikimotoi)近年在我国福建、浙江和广东沿海经常形成赤潮,其赤潮不仅影响到海洋生态系统的稳定,也严重威胁到水产养殖以及人类生命健康安全。本论文以米氏凯伦藻为研究对象,建立了米氏凯伦藻细胞表面膜蛋白质荧光标记技术和细胞膜蛋白质提取方法,运用荧光差异凝胶电泳技术(2-DDIGE)对膜蛋白质进行了分析,并研究了米氏凯伦藻的膜蛋白质组及其对环境温度变动的响应。实验共鉴定到44个细胞表面膜蛋白,其中有效注释27个,主要为转运蛋白、HSP70蛋白家族和捕光蛋白等。米氏凯伦藻在20°C条件下的细胞生长和光合作用要明显好于16°C和12°C,但16°C和12°C条件下的差别不大,表明低温限制了米氏凯伦藻的生长。当米氏凯伦藻从12°C快速转移至16°C和20°C时,藻细胞密度和光合作用效率短时间迅速降低,但细胞很快即适应温度变化。细胞膜上的转运蛋白和光合作用蛋白在其适应温度变化中起着重要作用。     

中国地区制造业竞争力的时间变化和空间分异解析

地区制造业竞争力是地区制造业在区域之间的市场竞争中表现出来的综合实力、所提供的有效产品或服务的能力及其未来的发展潜力大小。利用构建的地区制造业竞争力评价模型,以省区为基本单元,分析了近20年来中国地区制造业竞争力的时间变化特征和空间分布格局,并对这种变化和差异的动因给与解析。研究表明,从1985年到2003年的近20年来,中国地区制造业竞争力呈现出一定的时空演化规律:①随着改革开放进程的加速和地区经济实力的提高,地区制造业的综合竞争能力普遍抬升;②中国地区制造业竞争力的地域差异明显,由东部沿海向中、西部内陆逐渐递减,且差距随时间的推移呈扩大趋势;③地区制造业竞争力与其驱动因素关系密切。驱动因素的时空分布格局决定了地区制造业竞争力的时间过程与空间格局演变趋向。     

基于EOS/MODIS数据的NDVI与EVI比较研究

作为NOAA/AVHRR 归一化植被指数(NDVI) 的延续和发展, EOS/MODIS 归一化植被指 数(NDVI) 和增强植被指数( EVI) 在许多领域得到广泛应用。应用数理统计和地统计学方法对二 者进行的对比研究表明: NDVI 在植被生长旺盛期容易达到饱和, 而EVI 则能克服这一现象, 比 较真实地反映植被的生长变化过程; 相同空间分辨率下, EVI 取值范围、标准差与变异系数均高 于NDVI, NDVI 数据比较均一, 其空间相关性高于EVI, EVI 更能反映研究区域内植被空间差异。 关键词:MODIS; 归一化植被指数(NDVI) ; 增强植被指数( EVI) ; 对比