The effect of slatted screens on waves. (English) Zbl 1276.76087
Summary: A linearised model is proposed for the transmission of waves through thin vertical porous barriers, where both the inertial and dominant quadratic drag effects are included. A boundary-value problem is developed in which linear boundary conditions holding along the length of the screen are derived from a pair of canonical wave problems, one including an exact geometric description of a slatted screen to determine an inertia coefficient and the other using a quadratic drag law to determine an equivalent linear drag coefficient. The model is then applied to a range of wave scattering and sloshing problems involving thin vertical slatted screens in various settings. In each case results are verified by comparison to the solution of a direct non-linear calculation where the effects of drag have been isolated. We show that the solution to our canonical problem provides a good approximation to the solution of each of the model problems.
MSC:
| 76S99 | Flows in porous media; filtration; seepage |
| 76B15 | Water waves, gravity waves; dispersion and scattering, nonlinear interaction |
| 76M40 | Complex variables methods applied to problems in fluid mechanics |
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