TY - JOUR
T1 - The theory of fifth-order Stokes waves in a linear shear current
AU - Fang, Haiqi
AU - Liu, Philip L.F.
AU - Tang, Lian
AU - Lin, Pengzhi
N1 - Publisher Copyright:
© 2023 The Author(s).
PY - 2023/12/20
Y1 - 2023/12/20
N2 - In this study, a new set of fifth-order Stokes wave solutions, incorporating the effects of a linear shear current, is derived by using the perturbation method originally proposed for pure waves that was recently published. The present solutions are checked against the existing experimental data, the third-order stream function solutions, as well as the numerical results. The comparisons demonstrate that the present solutions are more accurate in describing the velocity distributions during wave propagation, especially in strong following currents and negative vorticity conditions. Subsequently, the present solutions are used to investigate the fluid particle trajectories for different wave-current interaction conditions. The results indicate that the background vorticity can alter the patterns of fluid particle trajectories and the direction of Stokes drifts.
AB - In this study, a new set of fifth-order Stokes wave solutions, incorporating the effects of a linear shear current, is derived by using the perturbation method originally proposed for pure waves that was recently published. The present solutions are checked against the existing experimental data, the third-order stream function solutions, as well as the numerical results. The comparisons demonstrate that the present solutions are more accurate in describing the velocity distributions during wave propagation, especially in strong following currents and negative vorticity conditions. Subsequently, the present solutions are used to investigate the fluid particle trajectories for different wave-current interaction conditions. The results indicate that the background vorticity can alter the patterns of fluid particle trajectories and the direction of Stokes drifts.
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U2 - 10.1098/rspa.2023.0565
DO - 10.1098/rspa.2023.0565
M3 - Article
AN - SCOPUS:85183080094
SN - 1364-5021
VL - 479
JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
IS - 2280
M1 - 20230565
ER -