Space-time statistics of 2D soliton gas in shallow water studied by stereoscopic surface mapping
Résumé
We describe laboratory experiments that aim at building up and monitor 2D shallow water soliton gas. The water surface elevation is obtained over a large (∼ 100 m2) domain, with centimetreresolution, by stereoscopic vision using two cameras. Floating particles are seeded to get surface texture and determine the 3D field by image correlation. The propagation of an oblique soliton is analysed, the amplitude decay and local incidence are compared to analytical predictions. We further present two cases of 2D soliton gas, emerging from multiple line solitons with random incidence (|θ| < 30°) and from irregular random waves forced with a jonswap spectrum (|θ| < 45°). In both cases Mach reflections and Mach expansions result in solitons that mainly propagate in directions perpendicular to the wave-makers.
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