TY - JOUR
T1 - Solitary flexural-gravity waves in three dimensions
AU - Trichtchenko, Olga
AU - Părău, Emilian I.
AU - Vanden-Broeck, Jean Marc
AU - Milewski, Paul
N1 - Funding Information:
Data accessibility. This article has no additional data. Authors’ contributions. All the authors had an equal contribution. All authors gave final approval for publication. Competing interests. We declare we have no competing interests. Funding. This work was partially supported by EP/J019305/1 for E.I.P., EP/J019321/1 for P.M. EP/J019569/1 for J.-M.V.-B and O.T. This work was also supported by: EPSRC grant nos. EP/K032208/1. Parts of the research presented in this paper were carried out on the High Performance Computing Cluster supported by the Research and Specialist Computing Support service at the University of East Anglia. Acknowledgements. E.I.P. acknowledges support from the Simons Foundation during his stay at the Isaac Newton Institute for Mathematical Sciences, August–December 2017. The authors would like to thank the Isaac Newton Institute for Mathematical Sciences for support and hospitality during the programme Mathematics of Sea Ice Phenomena when work on this paper was undertaken.
Publisher Copyright:
© 2018 The Authors.
PY - 2018/9/28
Y1 - 2018/9/28
N2 - The focus of this work is on three-dimensional nonlinear flexural-gravity waves, propagating at the interface between a fluid and an ice sheet. The ice sheet is modelled using the special Cosserat theory of hyperelastic shells satisfying Kirchhoff's hypothesis, presented in (Plotnikov & Toland. 2011 Phil. Trans. R. Soc. A 369, 2942-2956 (doi:10.1098/rsta.2011.0104)). The fluid is assumed inviscid and incompressible, and the flow irrotational. A numerical method based on boundary integral equation techniques is used to compute solitary waves and forced waves to Euler's equations.
AB - The focus of this work is on three-dimensional nonlinear flexural-gravity waves, propagating at the interface between a fluid and an ice sheet. The ice sheet is modelled using the special Cosserat theory of hyperelastic shells satisfying Kirchhoff's hypothesis, presented in (Plotnikov & Toland. 2011 Phil. Trans. R. Soc. A 369, 2942-2956 (doi:10.1098/rsta.2011.0104)). The fluid is assumed inviscid and incompressible, and the flow irrotational. A numerical method based on boundary integral equation techniques is used to compute solitary waves and forced waves to Euler's equations.
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U2 - 10.1098/rsta.2017.0345
DO - 10.1098/rsta.2017.0345
M3 - Article
C2 - 30126916
AN - SCOPUS:85052543112
SN - 1364-503X
VL - 376
JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
IS - 2129
M1 - 20170345
ER -