Imperial College London
Alternate

DrJamesPercival

Faculty of Engineering, Department of Earth Science & Engineering

Senior Teaching Fellow
 
 
 
//

Contact

 

j.percival Website

 
 
//

Location

 

4.94Royal School of MinesSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@article{Cotter:2010:10.1098/rspa.2010.0124,
author = {Cotter, CJ and Holm, DD and Percival, JR},
doi = {10.1098/rspa.2010.0124},
journal = {Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
pages = {3621--3633},
title = {The square root depth wave equations},
url = {http://dx.doi.org/10.1098/rspa.2010.0124},
volume = {466},
year = {2010}
}
Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We introduce a set of coupled equations for multi-layer water waves that removes the ill-posedness of the multi-layer Green–Naghdi (MGN) equations in the presence of shear. The new well-posed equations are Hamiltonian and in the absence of imposed background shear, they retain the same travelling wave solutions as MGN. We call the new model the square root depth (Inline Formula) equations from the modified form of their kinetic energy of vertical motion. Our numerical results show how the Inline Formula equations model the effects of multi-layer wave propagation and interaction, with and without shear.
AU  - Cotter,CJ
AU  - Holm,DD
AU  - Percival,JR
DO  - 10.1098/rspa.2010.0124
EP  - 3633
PY  - 2010///
SN  - 1364-5021
SP  - 3621
TI  - The square root depth wave equations
T2  - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
UR  - http://dx.doi.org/10.1098/rspa.2010.0124
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000283662900010&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/64903
VL  - 466
ER  -
Download