Efficient computation of steady solitary gravity waves
Abstract
An efficient numerical method to compute solitary wave solutions to the free surface Euler equations is reported. It is based on the conformal mapping technique combined with an efficient Fourier pseudo-spectral method. The resulting nonlinear equation is solved via the Petviashvili iterative scheme. The computational results are compared to some existing approaches, such as the Tanaka method and Fenton's high-order asymptotic expansion. Several important integral quantities are numerically computed for a large range of amplitudes. The integral representation of the velocity and acceleration fields in the bulk of the fluid is also provided.
Domains
Fluid mechanics [physics.class-ph] Fluids mechanics [physics.class-ph] Geophysics [physics.geo-ph] Geophysics [physics.geo-ph] Global Changes Atmospheric and Oceanic Physics [physics.ao-ph] Exactly Solvable and Integrable Systems [nlin.SI] Pattern Formation and Solitons [nlin.PS] Computational Physics [physics.comp-ph] Fluid Dynamics [physics.flu-dyn] Classical Physics [physics.class-ph]Origin | Files produced by the author(s) |
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