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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2012 Volume 24, Number 4, Pages 107–116 (Mi mm3262)

This article is cited in 10 papers

Numerical simulation of the solitary wave generation in a wind-water circular tunnel

T. G. Elizarovaa, M. A. Istominab, N. K. Shelkovnikovc

a M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Moscow
b M. V. Lomonosov Moscow State University, Faculty of Physics
c M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: The short description of the wind-water solitary wave generation in a laboratory wind-water circular tunnel is presented. Mathematical model of this phenomenon in the framework of shallow-water equation system is constructed. Numerical algorithm for solving the system is based on the regularized equations. For the first time a numerical solution of the wind-water solitary wave is obtained based on shallow water equations. Numerical soliton is qualitatively similar to the wind-water soliton, examined in the experiment.

Keywords: wind-water solitary wave, shallow water equations, quasi-gas dynamic equations, regularized shallow water equations.

Received: 11.08.2011


 English version:
Mathematical Models and Computer Simulations, 2012, 4:6, 552–559

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