Autor:	Cotter, Colin C., Holm, Darryl D., Percival, James R.
Rok vydání:	2009
Předmět:	Physics - Fluid Dynamics Nonlinear Sciences - Chaotic Dynamics
Druh dokumentu:	Working Paper
DOI:	10.1098/rspa.2010.0124
Popis:	We introduce a set of coupled equations for multilayer water waves that removes the ill-posedness of the multilayer 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 equations, from the modified form of their kinetic energy of vertical motion. Our numerical results show how the Square Root Depth equations model the effects of multilayer wave propagation and interaction, with and without shear. Comment: 10 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0912.2194 Zobrazit plný text záznamu View this record from Arxiv