Self-organized Criticality Model for Ocean Internal Waves

In this paper, we present a simple spring-block model for ocean internal waves based on the self-organized criticality （SOC）. The oscillations of the water blocks in the model display power-law behavior with an exponent of -2 in the frequency domain, which is similar to the current and sea water temperature spectra in the actual ocean and the universal Garrett and Munk deep ocean internal wave model [Geophysical Fluid Dynamics 2 （1972） 225; J. Geophys. Res. 80 （1975） 291]. The influence of the ratio of the driving force to the spring coefficient to SOC behaviors in the model is also discussed.     

Exploring Solutions of Nonlinear Rossby Waves with Complete Coriolis Force

Nonlinear Rossby waves in a Boussinesq fluid model which includes both the vertical and horizontal components of Coriolis force are studied by using the semi-geostrophic approximation and the method of travelling-wave solution. Taylor series expansion has been employed to isolate the characteristics of the linear Rossby waves and identify the Rossby cnoidal and solitary waves. Qualitative analysis indicates that if the disturbances are independent of latitude, the effect of horizontal components of Coriolis force disappears.     

Wave interaction with multiple articulated floating elastic plates

Flexural gravity wave scattering by multiple articulated floating elastic plates is investigated in the three cases for water of finite depth, infinite depth and shallow water approximation under the assumptions of two-dimensional linearized theory of water waves. The elastic plates are joined through connectors, which act as articulated joints. In the case when two semi-infinite plates are connected through a single articulation, using the symmetric characteristic of the plate geometry and the expansion formulae for wave-structure interaction problem, the velocity potentials are obtained in closed forms in the case of finite and infinite water depths. On the other hand, in the case of shallow water approximation, the continuity of energy and mass flux are used to obtain a system of equations for the determination of the full velocity potentials for wave scattering by multiple articulations. Further, using the results for single articulation and assuming that the articulated joints are wide apart, the wide-spacing approximation method is used to obtain the reflection coefficient for wave scattering due to multiple articulated floating elastic plates. The effects of the stiffness of the connectors, length of the elastic plates and water depth on the propagation of flexural gravity waves are investigated by analysing the reflection coefficient.     

New Exact Solutions and Evolution of Solitons in Background Waves for (2+1)-Dimensional Modified Dispersive Water-Wave System

With the help of the conditional similarity reduction method, some new exact solutions of the (2+1)-dimensional modified dispersive water-wave system (MDWW) are obtained. Based on the derived solution, we investigate the evolution of solitons in the background waves.     

Measurement of the Newtonian gravitational constant based on the principle of free fall

The Newtonian gravitational constant (G) is one of the fundamental physical constants. This paper introduces a method to determine the Newtonian gravitational constant based on the principle of free fall, through measuring the change of gravity from the disturbed mass with an FG5/112 absolute gravimeter. This method has good repeatability. The measurement precision can be improved by error control and a large number of experiments. The constant G is obtained by two experiments, and the measured value is (6.6665±0.0554)×10⁻¹¹ m³/(kg·s²). Supported by the National Basic Research Program of China (Grant No. 2003CB716300) and Key Project of the Knowledge Innovation Program of the Chinese Academy of Sciences (Grant No. KZCX2-YW-125)     

气相爆轰模拟的动态存储/删除算法

针对反应流中刚性化学反应源项直接积分计算量大的问题,提出了减少计算时间的动态数据库存储/删除算法。分别在一维爆轰和二维爆轰计算中对算法进行了检验。计算结果表明,该算法既可以很好地满足计算精度要求,又减少了对计算机的内存占用。对于一维爆轰波传播,计算的加速比随数据库容量的增加而增加,其最大加速比接近6;对于二维激波聚集诱导的爆轰,数据库容量不超过1 000 MB时,计算的加速比为2.54。该文算法在处理瞬态反应流问题时具有通用性和优越性。     

广义Boussinesq方程孤立波的轨道不稳定性

应用Grillakis提出的轨道稳定性理论,研究了广义Boussinesq方程utt-uxx-(b1up+1+b2u2p+1)xx+uxxxx=0(b2<0)的精确孤波解的轨道不稳定性.利用抽象的轨道稳定性理论和详细的谱分析得到了一类特殊形式孤波解的轨道不稳定性.     

Acoustic, thermal and flow processes in a water filled nanoporous glass by time-resolved optical spectroscopy

We present heterodyne detected transient grating measurements on water filled Vycor 7930 in the range of temperature 20-90 °C. This experimental investigation enables to measure the acoustic propagation, the average density variation due to the liquid flow and the thermal diffusion in this water filled nano-porous material. The data have been analyzed with the model of Pecker and Deresiewicz which is an extension of Biot model to account for the thermal effects. In the whole temperature range the data are qualitatively described by this hydrodynamic model that enables a meaningful insight of the different dynamic phenomena. The data analysis proves that the signal in the intermediate and long time-scale can be mainly addressed to the water dynamics inside the pores. We proved the existence of a peculiar interplay between the mass and the heat transport that produces a flow and back-flow process inside the nano-pores. During this process the solid and liquid dynamics have opposite phase as predicted by the Biot theory for the slow diffusive wave. Nevertheless, our experimental results confirm that transport of elastic energy (i.e. acoustic propagation), heat (i.e. thermal diffusion) and mass (i.e. liquid flow) in a liquid filled porous glass can be described according to hydrodynamic laws in spite of nanometric dimension of the pores. The data fitting, based on the hydrodynamic model, enables the extraction of several parameters of the water-Vycor system, even if some discrepancies appear when they are compared with values reported in the literature.     

Dynamics of structural interfaces: Filtering and focussing effects for elastic waves

Dynamics of thick interfaces separating different regions of elastic materials is investigated. The interfaces are made up of elastic layers or inertial truss structures. The study of evanescent mode propagation and transmission properties reveals that the discrete nature of structural interfaces introduces unusual filtering characteristics in the system, which cannot be obtained with multilayered interfaces. An example of metamaterial is presented, namely, a planar structural interface, which acts as a flat lens, therefore evidencing the negative refraction and focussing of elastic waves.     

Wave regimes on power-law fluid film flowing down a porous plane

Non-linear waves on the surface of a falling film of power-law fluid on a vertical porous plane are investigated. The waves are described by evolution equations generalising equations previously derived in the case of solid plane. It is shown that the slip condition on the interface between pure liquid and the porous substrate drastically changes structure of the steady waves travelling in the film.