Traveling-Standing Water Waves
نویسندگان
چکیده
We propose a new two-parameter family of hybrid traveling-standing (TS) water waves in infinite depth that evolve to spatial translation their initial condition at later time. use the square root energy as an amplitude parameter and introduce traveling naturally interpolates between pure moving either direction standing one four natural phase configurations. The problem is formulated two-point boundary value quasi-periodic torus representation presented exhibits TS-waves nonlinear superpositions counter-propagating waves. overdetermined shooting method compute nearly 50,000 TS-wave solutions explore properties. Examples periodically form sharp crests with high curvature or dimpled negative are presented. find maximize magnitude horizontal momentum among given energy. Numerical evidence suggests contains many gaps disconnections where parameters do not exist. Some these shown persist zero-amplitude fourth-order perturbation expansion powers parameter. Analytic formulas for coefficients this identified using Chebyshev interpolation computed quadruple-precision.
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ژورنال
عنوان ژورنال: Fluids
سال: 2021
ISSN: ['2311-5521']
DOI: https://doi.org/10.3390/fluids6050187