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Solitary water wave interactions
This article concerns the pairwise nonlinear interaction of solitary waves in the free surface
of a body of water lying over a horizontal bottom. Unlike solitary waves in many completely …
of a body of water lying over a horizontal bottom. Unlike solitary waves in many completely …
Hamiltonian long–wave expansions for water waves over a rough bottom
This paper is a study of the problem of nonlinear wave motion of the free surface of a body of
fluid with a periodically varying bottom. The object is to describe the character of wave …
fluid with a periodically varying bottom. The object is to describe the character of wave …
A high-order spectral method for nonlinear water waves over moving bottom topography
We present a numerical method for simulations of nonlinear surface water waves over
variable bathymetry. It is applicable to either two-or three-dimensional flows, as well as to …
variable bathymetry. It is applicable to either two-or three-dimensional flows, as well as to …
Development and validation of a non-linear spectral model for water waves over variable depth
In the present paper two numerical schemes for propagating waves over a variable
bathymetry in an existing High-Order Spectral (HOS) model are introduced. The first scheme …
bathymetry in an existing High-Order Spectral (HOS) model are introduced. The first scheme …
Numerical and analytical study of undular bores governed by the full water wave equations and bidirectional Whitham–Boussinesq equations
Undular bores, also termed dispersive shock waves, generated by an initial discontinuity in
height as governed by two forms of the Boussinesq system of weakly nonlinear shallow …
height as governed by two forms of the Boussinesq system of weakly nonlinear shallow …
Implementation of a fully nonlinear Hamiltonian coupled-mode theory, and application to solitary wave problems over bathymetry
This paper deals with the implementation of a new, efficient, non-perturbative, Hamiltonian
coupled-mode theory (HCMT) for the fully nonlinear, potential flow (NLPF) model of water …
coupled-mode theory (HCMT) for the fully nonlinear, potential flow (NLPF) model of water …
Many models for water waves
This document is an announcement and preview of a memoir whose full version is available
on the Open Math Notes repository of the American Mathematical Society (OMN …
on the Open Math Notes repository of the American Mathematical Society (OMN …
Vortex shedding from a submerged rectangular obstacle attacked by a solitary wave
MY Lin, LH Huang - Journal of Fluid Mechanics, 2010 - cambridge.org
This study investigates the two-dimensional flow of a solitary wave that passes over a
submerged rectangular obstacle using a Lagrangian-type numerical method. The main …
submerged rectangular obstacle using a Lagrangian-type numerical method. The main …
Analyticity of Dirichlet--Neumann Operators on Hölder and Lipschitz Domains
In this paper we take up the question of analyticity properties of Dirichlet--Neumann
operators with respect to boundary deformations. In two separate results, we show that if the …
operators with respect to boundary deformations. In two separate results, we show that if the …
An enhanced spectral boundary integral method for modeling highly nonlinear water waves in variable depth
This paper presents a new numerical model based on the highly nonlinear potential flow
theory for simulating the propagation of water waves in variable depth. A new set of …
theory for simulating the propagation of water waves in variable depth. A new set of …