Abstract
Abstract
Highlights
The interaction between surface water waves and underlying currents affects the wave properties significantly (Longuet-Higgins & Stewart 1961), as confirmed by experiments, e.g. Swan, Cummins & James (2001)
We report on a new branch of the bifurcation curve for waves on rotational flows with discontinuous vorticity and investigate the pressure beneath the waves for flows with nearly approaching stagnation points
We focus on the new part of the bifurcation curves, pressure distribution and particle paths under flows with nearly approaching stagnation points
Summary
The interaction between surface water waves and underlying currents affects the wave properties significantly (Longuet-Higgins & Stewart 1961), as confirmed by experiments, e.g. Swan, Cummins & James (2001). The interaction between surface water waves and underlying currents affects the wave properties significantly (Longuet-Higgins & Stewart 1961), as confirmed by experiments, e.g. Of most interest is the problem of two-dimensional (2-D) periodic water waves propagating on a steady current. A large number of theoretical studies and numerical investigations have been dedicated to this problem. It is still far from being fully understood. A comprehensive introduction to nonlinear wave–current interactions can be found in Constantin (2011)
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