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Simulation of Solitary Wave Mechanics by a Corrected Smoothed Particle Hydrodymamics Method

100%

Staroszczyk R.

Archives of Hydro-Engineering and Environmental Mechanics

2011

tom Vol. 58, nr 1-4

23-45

The paper is devoted to numerical modelling of solitary wave propagation phenomena in shallow water of uniform depth. The problem governing equations are solved by applying a corrected smoothed particle hydrodynamics (SPH) method in which standard smoothing kernel functions are modified in such a way that so-called linear reproducing conditions for kernel approximations and their first-order spatial derivatives are satisfied. Numerical performance of the proposed SPH model has been verified by comparing its predictions with analytical results for a solitary wave travelling over the horizontal bottom. Also, the results obtained by applying the corrected SPH method and those given by the standard SPH method, with no kernel correction, are compared. Further, an impact of the solitary wave on a vertical rigid wall is investigated, and finally an interaction of two colliding solitary waves is considered.

Propagation of solitary wave in non-uniform fiber system with high-order nonlinear effects

100%

Xiao Y. , Zhang J. , Zhang L.

Optica Applicata

2018

tom Vol. 48, nr 2

273--284

The ultra-short pulse propagation in a non-uniform fiber system is investigated based on the variable coefficient coupled higher-order nonlinear Schrödinger equation with the dispersion gain and nonlinear gain terms. By using the ansatz method and the split-step Fourier method, we get the exact solitary wave solution, with which the transmission process of the solitary wave is studied. Furthermore we obtain the stability of the solitary wave under finite initial perturbations. The interaction between two neighboring solitary waves is also studied.

Propagation of solitary waves in rod made of material with negative Poisson’s ratio

75%

Kołat P.

Vibrations in Physical Systems

2008

tom Vol. 23

195--198

It is found the propagation of longitudinal solitary waves in an elastic rod made of material with negative Poisson’s ratio. It is used the difference scheme to solve the non-linear partial differential equation.

Computer modelling of the plane solitary wave evolution (the microstructure characteristic size and the wave bottom interaction)

63%

Rushchitsky J. , Terlecka K.

Vibrations in Physical Systems

2002

tom Vol. 20

256--257