Scattering of water waves by thick rectangular barriers in presence of ice cover
作者机构：Department of MathematicsJadavpur UniversityKolkata-700032India Department of MathematicsDiamond Harbour Women’s UniversitySouth 24 Parganas-743368India
出 版 物：《Journal of Ocean Engineering and Science》 (海洋工程与科学（英文）)
年 卷 期：2020年第5卷第3期
页 面：279-293页
核心收录：
学科分类：0710[理学-生物学] 0830[工学-环境科学与工程（可授工学、理学、农学学位）] 0908[农学-水产] 07[理学] 0707[理学-海洋科学] 0815[工学-水利工程] 0824[工学-船舶与海洋工程] 0701[理学-数学] 070101[理学-基础数学]
基 金：This work is supported by DST through the INSPIRE fellowship to AS.(IF170841)
主 题：Rectangular thick barrier Ice cover Water wave scattering Multi term Galerkin approximation technique Reflection and transmission coefficients
摘 要：Assuming linear theory,the two dimensional problem of water wave scattering past thick rectangular barrier in presence of thin ice cover,is investigated *** four types of thick barriers are considered here and also the ice cover is taken as a thin elastic *** be the barrier is partially immersed or bottom standing or fully submerged in water or in the form of thick rectangular wall with a submerged gap presence in *** problem is formulated in terms of a first kind integral equation by considering the symmetric and antisymmetric parts of velocity potential *** integral equation is solved by using multi term Galerkin approximation method involving ultraspherical Gegenbauer polynomials as its basis *** numerical solutions of reflection and transmission coefficients are obtained for different parametric values and these are seen to satisfy the energy *** coefficients are depicted graphically against the wave number in a number of *** figures available in the literature drawn by using different mathematical methods as well as laboratory experiments are also recovered following the present analysis without the presence of ice cover,thereby confirming the correctness of the results presented *** is also observed that the reflection and transmission coefficients depend significantly on the width of the barriers.
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