Numerical simulations of wave breaking
ESAIM: Modélisation mathématique et analyse numérique, Tome 39 (2005) no. 3, pp. 591-607.

This paper is devoted to the numerical simulation of wave breaking. It presents the results of a numerical workshop that was held during the conference LOMA04. The objective is to compare several mathematical models (compressible or incompressible) and associated numerical methods to compute the flow field during a wave breaking over a reef. The methods will also be compared with experiments.

DOI : 10.1051/m2an:2005024
Classification : 65M12, 74S10
Mots clés : wave breaking, finite volumes, low Mach compressible flows, multiphase flow
Helluy, Philippe  ; Golay, Frédéric  ; Caltagirone, Jean-Paul 1 ; Lubin, Pierre  ; Vincent, Stéphane  ; Drevard, Deborah 2 ; Marcer, Richard 3 ; Fraunié, Philippe  ; Seguin, Nicolas 4 ; Grilli, Stephan 5 ; Lesage, Anne-Cécile 6 ; Dervieux, Alain  ; Allain, Olivier 7

1 TREFLE - ENSCPB - UMR CNRS 8508, Bordeaux, France.
2 LSEET, Université de Toulon, BP 132F, La Garde Cedex, France.
3 Principia Z.I. Athélia 13705 La Ciotat Cedex, France.
4 Laboratoire J.-L. Lions, Université Paris VI, France.
5 Department of Ocean Engineering, University of Rhode Island, Narragansett, RI 02882, USA.
6 INRIA, Sophia Antipolis, France.
7 Société Lemma, La Roquette-Sur-Siagne, France.
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     author = {Helluy, Philippe and Golay, Fr\'ed\'eric and Caltagirone, Jean-Paul and Lubin, Pierre and Vincent, St\'ephane and Drevard, Deborah and Marcer, Richard and Frauni\'e, Philippe and Seguin, Nicolas and Grilli, Stephan and Lesage, Anne-C\'ecile and Dervieux, Alain and Allain, Olivier},
     title = {Numerical simulations of wave breaking},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {591--607},
     publisher = {EDP-Sciences},
     volume = {39},
     number = {3},
     year = {2005},
     doi = {10.1051/m2an:2005024},
     mrnumber = {2157152},
     zbl = {1130.76023},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1051/m2an:2005024/}
}
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Helluy, Philippe; Golay, Frédéric; Caltagirone, Jean-Paul; Lubin, Pierre; Vincent, Stéphane; Drevard, Deborah; Marcer, Richard; Fraunié, Philippe; Seguin, Nicolas; Grilli, Stephan; Lesage, Anne-Cécile; Dervieux, Alain; Allain, Olivier. Numerical simulations of wave breaking. ESAIM: Modélisation mathématique et analyse numérique, Tome 39 (2005) no. 3, pp. 591-607. doi : 10.1051/m2an:2005024. http://archive.numdam.org/articles/10.1051/m2an:2005024/

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