... ABSTRACT A direct numerical method is proposed to simulate nonlinear water waves with nonzero constant vorticity in a two-dimensional channel of finite or infinite depth. Such a vortical distribution represents a background shear current that varies linearly in the vertical direction. Our...

... ABSTRACT The paper reports a progress on the development of a hybrid approach coupling the Meshless Local Petrov-Galerkin Method based on Rankine Solution (MLPG-R) and the Quasi Arbitrary Langangian-Eulerian Finite Element Method (QALE-FEM) for modelling nonlinear water waves. The former...

... ABSTRACT: A third-order asymptotic solution in Lagrangian description for nonlinear water wave propagating over a sloping beach is derived. The particle trajectories are obtained as a function of the nonlinear ordering parameter ε and the bottom slope α to the third order of perturbation...

... A new asymptotic solution describing nonlinear water wave propagation on the surface of a uniform sloping bottom is derived in the Lagrangian coordinates. We use the two-parameter perturbation method to develop a new mathematical derivation. The particle trajectories, wave pressure...

... Nonlinear Water Waves Propagating in Permeable Structure Kai-Cheng Hu Department of Hydraulic and Ocean Engineering, National Cheng Kung University Tainan, TAIWAN, China Shih-Chun Hsiao, Hwung-Hweng Hwung Department of Hydraulic and Ocean Engineering, National Cheng Kung University Tainan, TAIWAN...

... poroelastic bed by one parameter, ε 1 = k 0 a, is very inaccurate so that a boundary layer correction approach for soft poroelastic bed is proposed to solve the nonlinear water wave problem. After analyzing the length scale and order of magnitude of physical variables, perturbation expansion for the boundary...

... amplitude reservoir simulation dike numerical simulation submerged dike boundary condition nonlinear water wave reservoir characterization incident wave free wave phase velocity equation boussinesq equation navier-stoke equation wavemaker numerical result Proceedings of the Eighth (1998...

... medium porous bed ursell parameter bed material conventional stoke expansion flow in porous media experiment upstream oil & gas nonlinear water wave interaction poroelastic bed biot stoke expansion expansion equation fluid dynamics channel bed interface boundary condition huang...