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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Soliton fission and solitonic turbulence for shall
ow water waves: a numerical study with different m
odels - Michel Benoit (Electricté de France)
DTSTART;TZID=Europe/London:20220712T150000
DTEND;TZID=Europe/London:20220712T153000
UID:TALK175859AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/175859
DESCRIPTION:This work deals with the mathematical modelling an
d numerical simulation of the dynamics of water wa
ve trains propagating in shallow water. In the cas
e of uniform water depth and 2D waves in a vertica
l plane (x\, z)\, two physical situations are addr
essed:A. The fission of an initial free surface de
formation into a set of solitons. The number of so
litons that appear from a given initial condition\
, the duration necessary for their emergence\, the
occurrence of a possible recurrence (or quasi-rec
urrence) of the Fermi-Pasta-Ulam type\, etc. (Tril
lo et al.\, 2016) \;is studied.B. The soliton
ic turbulence regime corresponding to the evolutio
n of a set of solitons interacting with each other
through multiple collisions over a long distance/
time (i.e. soliton gas dynamics).To carry out this
work\, we use three numerical wave models of incr
easing complexity\, with regard to dispersion and
nonlinearity:1) the Korteweg-de Vries (KdV) model\
, which is weakly dispersive and weakly nonlinear
(and limited to waves propagating in only one dire
ction)\,2) the Serre-Green-Naghdi (SGN) type model
s\, which is partially dispersive and fully nonlin
ear (at this order of dispersion)\,3) a fully nonl
inear and dispersive potential-flow model\, based
on Euler-Zakharov equations\, with the whispers3D
code\, using the approach presented and validated
by Raoult et al. (2016).\nOne of the objectives of
this work is to evaluate the effects associated w
ith these different levels of consideration of non
linear and dispersive effects on the dynamics of t
he shallow wave trains\, and the consequences on t
he dynamics of the wave trains\, the statistical (
high-order moments\, statistical distribution of f
ree surface elevation\, etc.) and spectral (freque
ncy- and wave-number spectra\, etc.) descriptions
of wave fields. The second objective is to evaluat
e the capabilities (and limitations) of these diff
erent modelling approaches to reproduce the physic
al effects observed in the above-mentioned experim
ents.\nRaoult C.\, Benoit M.\, Yates M.L. (2016) V
alidation of a fully nonlinear and dispersive wave
model with laboratory non-breaking experiments. C
oastal Engineering\, Vol. 114\, pp 194&ndash\;207.
\;\nTrillo S.\, Deng G.\, Biondini G.\, Klein
M.\, Clauss G. F.\, Chabchoub A.\, Onorato M. (20
16) Experimental observation and theoretical descr
iption of multisoliton fission in shallow water. P
hys. Rev. Lett.\, 117(14)\, 144102.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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