Accurate Solutions to Water Wave Scattering by Vertical Thin Porous Barriers

Abstract EN

The water wave scattering by vertical thin porous barriers is accurately solved in this study.

Two typical structures of a surface-piercing barrier and a submerged bottom-standing barrier are considered.

The solution procedure is based on the multi-term Galerkin method, in which the pressure jump across a porous barrier is expanded in a set of basis functions involving the Chebychev polynomials.

Then, the square-root singularity of fluid velocity at the edge of the porous barrier is correctly modeled.

The present solutions have the merits of very rapid convergence.

Accurate results for both the reflection and the transmission coefficients and wave forces are presented.

This study not only gives a promising procedure to tackle wave interaction with vertical thin porous barriers but also provides a reliable benchmark for complicated numerical solutions.