A new efficient Hamiltonian approach to the nonlinear water-wave problem over arbitrary bathymetry
C Papoutsellis, G Athanassoulis - arXiv preprint arXiv:1704.03276, 2017 - arxiv.org
A new Hamiltonian formulation for the fully nonlinear water-wave problem over variable
bathymetry is derived, using an exact, vertical series expansion of the velocity potential, in
conjunction with Luke's variational principle. The obtained Euler-Lagrange equations
contain infinite series and can rederive various existing model equations upon truncation. In
this paper, the infinite series are summed up, resulting in two exact Hamiltonian equations
for the free-surface elevation and the free-surface potential, coupled with a time …
bathymetry is derived, using an exact, vertical series expansion of the velocity potential, in
conjunction with Luke's variational principle. The obtained Euler-Lagrange equations
contain infinite series and can rederive various existing model equations upon truncation. In
this paper, the infinite series are summed up, resulting in two exact Hamiltonian equations
for the free-surface elevation and the free-surface potential, coupled with a time …
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