摘要
One of the forward situations in the study of water waves is the basic three-dimensional surface wave motion of short-crested waves.Capillary waves result in rich effects concerned closely with remote sensing in the open ocean.Ocean currents experience a complete process in surface wave motion.Based on the above ideas,a linear dynamical system of surface capillary-gravity short-crested waves is developed by considering the current effects,thus leading to the following analytical expressions of the kinematic and dynamic variables:the wave height,the wave steepness,the phase velocity,the wave-particle velocities,accelerations and trajectories and the wave pressure.A number of the classi-cal,typical and latest special wave cases can arise from these expressions.
One of the forward situations in the study of water waves is the basic three-dimensional surface wave motion of short-crested waves. Capillary waves result in rich effects concerned closely with remote sensing in the open ocean. Ocean currents experience a complete process in surface wave motion. Based on the above ideas, a linear dynamical system of surface capillary-gravity short-crested waves is developed by considering the current effects, thus leading to the following analytical expressions of the kinematic and dynamic variables： the wave height, the wave steepness, the phase velocity, the wave-particle velocities, accelerations and trajectories and the wave pressure. A number of the classical, typical and latest special wave cases can arise from these expressions.
基金
the Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No. 200428)
the Scientific Research Innovation Project of the Shanghai Education Committee (Grant No. O8YZ05)
the Open Foundation of the State Key Laboratory of Ocean Engineering at Shanghai Jiao Tong University (Grant No. 0501)
Shanghai Leading Academic Discipline Project (Grant No. Y0103)
关键词
线性表面毛细管
表面张力
电流
波形
short-crested waves, surface tension, linear solutions, wave-current interactions
