2020/04/02 by Marcelo V. Flamarion, Flamarion, Marcelo V., Roberto Ribeiro‐Jr +1
Earth and Planetary Sciences · Mathematics · #Advanced Mathematical Physics Problems #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Navier-Stokes equation solutions #Numerical Analysis (math.NA) #Ocean Waves and Remote Sensing
paper · pdf · doi:10.48550/arxiv.2004.01148
openalex publication_date 2020/04/02 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
Trapped solitary-wave interaction is studied under the full Euler equations\nin the presence of a variable pressure distribution along the free surace. The\nphysical domain is flattened conformally onto a strip and the computations are\nperformed in the canonical domain. Computer simulations display solitary waves\nthat remain trapped in a low pressure region. In terms of confinement we\nobserve that these waves are stable for small perturbations of either their\namplitudes or the pressure forcing term. Furthermore multiple solitary waves\nare considered within the low pressure region without escaping the low pressure\nregion. We identify regimes in which multiple solitary waves remain trapped\nafter several collisions. In particular we display a regime where three\nsolitary waves are trapped and collide several times, before one escapes at a\ntime. The remaining solitary waves stays trapped in the low pressure region.\n