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physics.flu-dyn2014★ 3 cited
A penalization method for calculating the flow beneath travelling water waves of large amplitude
Adrian Constantin, Konstantinos Kalimeris, Otmar Scherzer
A penalization method for a suitable reformulation of the governing equations as a constrained optimization problem provides accurate numerical simulations for large-amplitude trav…
math.AP2014★ 10 cited
Global bifurcation of steady gravity water waves with critical layers
Adrian Constantin, Walter Strauss, Eugen Varvaruca
We construct large families of two-dimensional travelling water waves propagating under the influence of gravity in a flow of constant vorticity over a flat bed. A Riemann-Hilbert…