Geodesic
Numerical Simulation of Interaction Solitary Wave with Underwater Step by Natural Element Method
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 8 (2008) no. 2, pp. 67-73

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In present work results of numerical modeling of a problem about movement of a solitary wave above a underwater obstacle as a rectangular step are submitted. The solving of the given problem is carried out by a natural element method within the framework of model of an ideal incompressible fluid on the basis of system of the equations of Euler. Formation of vortexes near to a step is revealed, and also influence of vortexes on amplitudes of the past and reflected waves is established. 
@article{VNGU_2008_8_2_a5,
     author = {S. N. Karabtcev and S. V. Stukolov},
     title = {Numerical {Simulation} of {Interaction} {Solitary} {Wave} with {Underwater} {Step} by {Natural} {Element} {Method}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {67--73},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2008_8_2_a5/}
}
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S. N. Karabtcev; S. V. Stukolov. Numerical Simulation of Interaction Solitary Wave with Underwater Step by Natural Element Method. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 8 (2008) no. 2, pp. 67-73. http://geodesic.mathdoc.fr/item/VNGU_2008_8_2_a5/