supported by the National Key R&D Program of China(No.2017YFC1404202);the National Natural Science Foundation of China(Nos.11572332,11602274,and 11232012);the Strategic Priority Research Program of the Chinese Academy of Sciences(No.XDB22040203)
A numerical study to a generalized Korteweg-de Vries (KdV) equation is adopted to model the propagation and disintegration of large-amplitude internal solitary waves (ISWs) in the South China Sea (SCS). Based on theor...
Project supported by the National Natural Science Foundation of China(Nos.91330205and 11421101);the National Key Research and Development Program of China(No.2016YFB0200603)
A Newton multigrid method is developed for one-dimensional (1D) and two- dimensional (2D) steady-state shallow water equations (SWEs) with topography and dry areas. The nonlinear system arising from the well-bal...
Project supported by the Natural Science Foundation of Zhejiang Sci-Tech University(No.11130032241201)
For the stability problem of homogeneous shear flows in sea straits of arbitrary cross section, a sufficient condition for stability is derived under the condition of inviscid flow. It is shown that there is a critica...
supported by the National Natural Science Foundation of China (Nos. 40775069 and 40675060);the Science Foundation of Shanghai Typhoon Institute (No. 2006STB03);the Science Foundation of State Key Laboratory of Satellite Ocean Environment Dynamics (No. SOED0904);the Ministry of Science and Technology of the People’s Republic of China (Nos. 2009CB421504 and 2006AA09Z151);the China Meteorological Administration (No. GYHY200706031);the State Oceanic Administration (No. 908020310)
The polar low and tropical cyclone type vortices over topography are assumed to be the axisymmetrical and thermal-wind balanced systems, which are solved as an initial value problem of a linearized vortex equation set...
The Hamiltonian formalism for surface waves and the mild-slope approximation were empolyed in handling the case of slowly varying three-dimensional currents and an uneven bottom, thus leading to an extended mild-slope...
The effect of nonlinearity on the free surface wave resonated by an incident flow over rippled beds, which consist of fast varying topography superimposed on an otherwise slowly varying mean depth, is studied using a ...
The purpose of this paper is to use the conforma mapping method[1]to analyzeand evaluate the ground displacement and scattering of incident SH-waves, on thesurface of semi-canyon topography of arbitrary shape with li...
In this paper, the resonant generation of nonlinear capillary-gravity waves in a fluid system with the effect of surface tension and the concave topography is examined by using a perturbation method and numerical method.
he analytcal method is used for the problem of seattering of plane SH-waves bymultiple shallow circur-are cangons. The solution of multiple scattering of plane SH-wares is first expressed as the sum of series of solu...
In the frame of weak nonlinear theory,a set of equations depicting the nonlinear interactions of barotropic Rossby waves are derived,the topography and Ekman fric-tion are involved in the equations.Starting from the e...