{"title":"BEM solution for scattering of water waves by dual thick rigid structures over non-periodic bottom morphologies","authors":"Nidhi Sharma, Deepali Goyal, S.C. Martha","doi":"10.1016/j.enganabound.2025.106216","DOIUrl":null,"url":null,"abstract":"<div><div>The combined effect of dual rigid structures over non-periodic bottom morphologies is examined through a boundary value problem to characterize the scattering phenomenon. Three different types of bottom morphologies: (a) monotonically decreasing oscillatory, (b) exponential decreasing oscillatory and (c) Gaussian oscillatory are taken into consideration. Utilizing the boundary element method (BEM), the boundary value problem coins to a system of algebraic equations that can be solved numerically to determine the physical quantities such as reflection and transmission coefficients. The reflection coefficient is compared to the results available in the literature, and a good agreement is found, indicating the validity of the current approach. Reflection is seen to increase with the decay factor, number of ripples, and width of the structures. Interestingly, a split in the Bragg peak is noted which increases with increasing gap and number of ripples but decreases with increasing in decay factor and submergence depth of both structures. Zeros in reflection are vanished due to the presence of both structures. It is found that Bragg resonance is observed for all three bottom profiles Comparison analysis between monotonically decreasing profile, Gaussian profile and exponentially decreasing profile is made which portrays that the Bragg peak is highest for monotonically decreasing oscillatory profile. This model is an attempt to create a tranquil zone utilizing breakwaters.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"175 ","pages":"Article 106216"},"PeriodicalIF":4.2000,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Analysis with Boundary Elements","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0955799725001043","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The combined effect of dual rigid structures over non-periodic bottom morphologies is examined through a boundary value problem to characterize the scattering phenomenon. Three different types of bottom morphologies: (a) monotonically decreasing oscillatory, (b) exponential decreasing oscillatory and (c) Gaussian oscillatory are taken into consideration. Utilizing the boundary element method (BEM), the boundary value problem coins to a system of algebraic equations that can be solved numerically to determine the physical quantities such as reflection and transmission coefficients. The reflection coefficient is compared to the results available in the literature, and a good agreement is found, indicating the validity of the current approach. Reflection is seen to increase with the decay factor, number of ripples, and width of the structures. Interestingly, a split in the Bragg peak is noted which increases with increasing gap and number of ripples but decreases with increasing in decay factor and submergence depth of both structures. Zeros in reflection are vanished due to the presence of both structures. It is found that Bragg resonance is observed for all three bottom profiles Comparison analysis between monotonically decreasing profile, Gaussian profile and exponentially decreasing profile is made which portrays that the Bragg peak is highest for monotonically decreasing oscillatory profile. This model is an attempt to create a tranquil zone utilizing breakwaters.
期刊介绍:
This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods.
Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness.
The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields.
In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research.
The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods
Fields Covered:
• Boundary Element Methods (BEM)
• Mesh Reduction Methods (MRM)
• Meshless Methods
• Integral Equations
• Applications of BEM/MRM in Engineering
• Numerical Methods related to BEM/MRM
• Computational Techniques
• Combination of Different Methods
• Advanced Formulations.