N.S.Gorodetckaia, T.N.Mirgorodskaia, V.I.Nikishov
On scattering of surface gravity waves by thin vertical barriers

Applied hydromechanics, Vol. 17 (89) ¹ 2, (2015) p.9-19
The method of advanced reduction for the calculations of surface gravity wave scattering by thin submerged barriers that is based on eigenfunction expansion of solution has been presented. Asymptotic behaviors of unknown coefficients of expansion are found on basis of extraction of local singularity in respect to velocity in the tip of barrier. The analysis of closing of the equation system has been fulfilled. It is shown that the using of the method of advanced reduction allows to diminish the volume of calculations and to improve the property of obtained solution.
KEY WORDS:
surface waves, scattering, barrier, eigenfunctions
TEXT LANGUAGE: Russian