Abstract—Nowadays, the exploration of the ocean
energy has become necessary and attracted more and
more attention by the researchers all over the world due
to the pollution and energy depletion issues caused by the
consumption of fossil energies. As designing and
hydrodynamic analysis of the energy converters in
physical experimental tank are both time consuming and
expensive, many researchers have developed numerical
wave tanks to investigate the problem of wave and
current interacting with the energy converters. In this
paper, a numerical wave and current tank of the viscous
fluid with constant depth is established based on the
Reynolds-Averaged Navier-Stokes (RANS) equations
with k-ε turbulence closure scheme. The volume of fluid
(VOF) method is applied to accurately capture the water
free surface. The wave generation, wave absorption and
current absorption are accomplished by using the analytic
relaxation approach. Based on the numerical wave and
current tank established here, the linear wave and
nonlinear wave-current interactions are simulated and
analyzed. The result shows that the wave generated by
using the analytic relaxation approach has the feature of
high quality and stability. The numerical results of the
linear wave-current interaction are compared with the
analytical solution based on the perturbation method,
which shows that the numerical wave and current tank
established here is accurate and valid. Finally, the
influence of current velocity on the wave parameters and
the variation of wave crests with wave slopes for linear
and nonlinear wave- current interactions are also
numerically investigated.
Index Terms—Wave-current interaction, analytic relaxation
approach, numerical wave and current tank, user defined
function.
The author is with the Marine Engineering Department, Dalian Maritime
University, Dalian, China (e-mail: 530546168@163.com).
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Cite:X. Feng, "Linear and Nonlinear Wave-Current Interactions over Constant Water Depth," Journal of Clean Energy Technologies vol. 6, no. 2, pp. 143-149, 2018.
