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.     

Nonlinear random wave-induced drag force on a vegetation field

This paper provides a practical method by which the drag force on a vegetation field beneath nonlinear random waves can be estimated. This is achieved by using a simple drag formula together with an empirical drag coefficient given by Mendez et al. (Mendez, F.J., Losada, I.J., Losada, M.A., 1999. Hydrodynamics induced by wind waves in a vegetation field. J. Geophys. Res. 104 (C8), 18383–18396). Effects of nonlinear waves are included by using Stokes second order wave theory where the basic harmonic motion is assumed to be a stationary Gaussian narrow–band random process. An example of calculation is also presented.     

Nonlinear transfer function modelling of beach morphology at Duck,North Carolina

This paper presents a simple nonlinear data-based modelling approach for predicting the beach profile volume at Duck, North Carolina, USA. The state-dependent parameter form of the general transfer function (SDP TF) model is used to describe nonlinearity influencing these morphological data in two case examples. Case 1 investigates the nonlinearity associated with the dependency of wave forcing on the preceding beach volume. Case 2 investigates the ability to model the variables within the well-known diffusion equation for beach volume using this data-based approach. The results of this study show that the SDP TF approach can be used successfully to develop statistically robust models for describing nonlinearity in beach morphological systems. Furthermore, these models are shown to predict the beach volumes over both short (1 month ahead) and long (2 years ahead) time periods, and thus show great potential for practical applications in coastal zone management and engineering.     

基于NLCCA的中国夏季降水与东亚夏季风关系的探讨

运用一种基于人工神经网络的非线性典型相关分析方法(NLCCA),对中国夏季降水与东亚夏季风之间的非线性关系进行了分析。结果表明,夏季降水对东亚夏季风的响应具有一定的非线性,当夏季风较强与较弱时,对应的中国夏季降水异常分布呈现明显的不对称性。夏季降水与夏季风之间的关系可分离为线性响应和非线性响应,其中非线性响应部分占总方差贡献的52.1%,说明我国夏季降水异常分布与东亚夏季风相互之间的关系既有线性特征也有非线性特征,非线性响应略显重要。     

不同光程放大校正因子对中国近海典型水体吸收光谱的影响

在总结各种文献对光程放大校正因子研究的基础上,通过颗粒物吸收系数量值和吸收光谱谱形两个方面,对不同光程放大校正因子对中国近海典型水体颗粒物吸收光谱的影响进行了比较。当ODf-ODf(750 nm)的吸光度在0.005～0.5的范围时,不同光程放大校正因子得到的悬浮颗粒物吸光度值差异较大。     

Numerical modeling of nonlinear water waves over heterogeneous porous beds

The transformation of nonlinear water waves over porous beds is studied by applying a numerical model based on Chen's [2006. Fully nonlinear Boussinesq-type equations for waves and currents over porous beds. Journal of Engineering Mechanics, 132:2, 220–230] Boussinesq-type equations for highly nonlinear waves on permeable beds. The numerical model uses a high-order time-marching solution and fourth-order finite-difference schemes for discretization of first-order spatial derivatives to obtain a computational accuracy consistent with the model equations. By forcing the wave celerity and spatial porous-damping rate of the linearized model to match the exact linear theory for horizontal porous bed over a prescribed range of relative depths, the values of the model parameters are optimally determined. Numerical simulations of the damped wave propagation over finite-thickness porous layer demonstrate the accuracy of both the numerical model and governing equations, which have been shown by prior theoretical analyses to be accurate for both nominal and thick porous layers. These simulations also elucidate on the significance of the higher-order porous-damping terms and the influence of the hydraulic parameters. Application of the model to the simulation of the wave field around a laboratory-scale submerged porous mound provides a measure of its capability, as well as useful insight into the scaling of the porous-resistance coefficients. For application to heterogeneous porous beds, the assumption of weak spatial variation of the porous resistance is examined using truncated forms of the governing equations. The results indicate that the complete set of Boussinesq-type equations is applicable to porous beds of nonhomogeneous makeup.     

非线性效应对浅水水波变形的影响

本文采用波数矢量无旋和波能守恒方程建立了一个考虑非线性作用的浅水水波变形数值模型,模型中采用Ｂａｔｔｊｅｓ关系与波数矢量无旋,波能守恒方程一起来求解波浪在浅水中变形的波浪要素,在波能守恒方程中考虑了底摩擦的影响。利用本文提出的数值模型对一个斜坡浅滩水域波浪折射绕射现象进行了验证,验证计算中用一个非线性经验弥散关系近似浅水水波变形的非线性效应并与用线性弥散关系的计算结果进行了比较,结果说明使用非线性     

Sensitive and rapid detection of two toxic microalgae Alexandrium by loop-mediated isothermal amplification

A loop-mediated isothermal amplification (LAMP) assay was designed and evaluated for rapid detection of the toxic microalgae Alexandrium catenella and A. minutum, which can produce paralytic shellfish poisoning (PSP). Two sets of four specific primers targeting these two species were derived from the sequence of internal transcribed spacer (ITS) of ribosomal DNA. The method worked well in less than an hour under isothermal conditions of 65℃. LAMP specificity was validated in closely related algae as a comparison, suggesting the strict specificity of the LAMP primers. Two visual inspection approaches were feasible to interpret the positive or negative results. The detection limits of A. catenella and A. minutum samples using the LAMP assay were found to be 5.6 and 4.5 pg DNA, respectively. The sensitivity of this LAMP assay was 10 or 100-fold higher than Polymerase Chain Reaction (PCR) method in detecting the two microalgae. These characteristics of species specificity, sensitivity, and rapidity suggest that this method has the potentiality in the monitoring of red tide caused by A. catenella and A. minutum.     

利用扩增vvhA基因的环介导等温扩增技术快速，特异而敏感地检测创伤弧菌

创伤弧菌是一种可感染人类的河口病原菌。建立快速,特异而敏感的检测方法,有助于创伤弧菌感染的早期疾病诊断和及时治疗。本研究设计了针对vvhA基因的一系列引物（包括两对外部引物和两对内部引物）,采用环介导等温扩增技术（LAMP）来检测创伤弧菌。结果显示,本方法的最适扩增温度是63℃,反应仅需35分钟。扩增产物不仅可以用含有DNA ladder的琼脂糖凝胶电泳检出,也可借助钙黄绿素直接肉眼观察。采用45株菌株检测该方法的特异性,其中所有创伤弧菌均被检出而其他菌株检测结果皆为阴性。本方法的敏感性是普通PCR扩增的100倍,同时利用该方法可以准确检测出所有的模拟样品、临床标本及环境样品。与其他已知方法比较,针对vvhA基因的介导等温扩增技术可以快速、简单、敏感及特异地鉴定创伤弧菌。     

黄土河谷场地地形放大效应的研究

使用黄土河谷场地模型对地震动峰值加速度和频谱特征进行研究。结果表明,不同工况下各观测点PGA的放大比呈现出不同的变化规律。分析山顶和山谷各点的傅里叶谱以及谱比发现,在地形和土层共同作用下的放大效应是各自单独作用下放大效应的乘积。