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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2011, Volume 93, Issue 4, Pages 213–216
(Mi jetpl1834)
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This article is cited in 5 scientific papers (total in 5 papers)
PLASMA, HYDRO- AND GAS DYNAMICS
Numerical study of Fermi-Pasta-Ulam recurrence for water waves over finite depth
V. P. Ruban L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Abstract:
Highly accurate direct numerical simulations have been performed for two-dimensional free-surface potential flows of an ideal incompressible fluid over a constant depth $h$, in the gravity field $g$. In each numerical experiment, at $t=0$ the free surface profile was in the form $y=A_0\cos(2\pi x/L)$, and the velocity field $\mathbf v=0$. The computations demonstrate the phenomenon of Fermi-Pasta-Ulam (FPU) recurrence takes place in such systems for moderate initial wave amplitudes $A_0\lesssim 0.12 h$ and spatial periods at least $L\lesssim 120 h$. The time of recurrence $T_{\mathrm{FPU}}$ is well fitted by the formula $T_{\mathrm{FPU}}(g/h)^{1/2}\approx 0.16(L/h)^2(h/A_0)^{1/2}$.
Received: 15.12.2010 Revised: 14.01.2011
Citation:
V. P. Ruban, “Numerical study of Fermi-Pasta-Ulam recurrence for water waves over finite depth”, Pis'ma v Zh. Èksper. Teoret. Fiz., 93:4 (2011), 213–216; JETP Letters, 93:4 (2011), 195–198
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https://www.mathnet.ru/eng/jetpl1834 https://www.mathnet.ru/eng/jetpl/v93/i4/p213
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Abstract page: | 186 | Full-text PDF : | 46 | References: | 34 |
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