Scattering of water waves by thick rectangular barriers in presence of ice cover

Samanta, Anushree; Chakraborty, Rumpa

doi:10.1016/j.joes.2020.01.001

Cited by 7 publications

(1 citation statement)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Chakraborty and Mandal [15] develops the problem which is split up into symmetric and anti-symmetric potential that produces the resultant motion. Samanta and Chakraborty [16] solved the problem of water wave scattering by thick rectangular barriers in presence of ice cover, using symmetric and anti-symmetric potential due to geometrical symmetry in recent. The use of eigen function of potential function along with the Havelock inversion formula generates integral equations for corresponding unknown horizontal velocity components.…”

Section: Introductionmentioning

confidence: 99%

Effect of Inertial Surface on Surface Gravity Wave Propagation by Thick Rectangular Barrier

Chakraborty¹,

Majhi²

2021

International Journal of Lakes and Rivers

Self Cite

View full text Add to dashboard Cite

In presence of an inertial surface, this paper develops new analytical solutions of two-dimensional water wave scattering problem of thick vertical barrier of rectangular cross section of uniform depth, considering the linear theory. Four types of barrier, surface-piercing or bottom standing or fully submerged in water or in the form of a thick vertical rectangular wall with submerged gap in water are examined. The problem is formulated in terms of integral equation by assuming symmetric and anti-symmetric parts of velocity potential. The analytical solutions make use of the multi-term Galerkin method which involves ultra-spherical Gegenbauer polynomials as its basis function. The reflection coefficients are obtained for different parametric values, which are depicted graphically against the wave number using very accurate numerical estimation. It is remarkable that the reflection coefficients depend significantly on the width of the barrier.

show abstract

Section: Introductionmentioning

confidence: 99%