Theoretical investigation applied to scattering water wave by rectangular submerged obstacle/and submarine trench

Abstract

A simple analytical model is presented in this work to investigate reflection coefficients due to the interactions of waves with rectangular submerged obstacles/and submarine trenches. Our intention in this work is to present a simple analytical model to simulate and study water-wave scattering by evaluating reflection coefficients. Further, our challenge is to present an analytical model that can easily investigate simultaneously the effects of rectangular submerged obstacles/and submarine trenches on wave scattering. Furthermore, reflection coefficients are investigated for different immersion ratios and relative lengths simultaneously for submarine trenches/and rectangular submerged obstacles. In addition, to ensure the validity of the presented model, our results are well compared with those of the literature. Finally, a comparison of reflection coefficients associated with the interactions of waves with rectangular submerged obstacles/and submarine trenches are presented to investigate the most efficient breakwater, and to highlight the importance of the presented model.

Keywords

Bibliographic record

BibTeX Citation

@article{Loukili2022theoreticalinvestigation,
  author = {Loukili, M. and Dutykh, D. and Pincemin, S. and Kotrasova, K. and Abcha, N.},
  title = {Theoretical investigation applied to scattering water wave by rectangular submerged obstacle/and submarine trench},
  journal = {Geosciences},
  year = {2022},
  volume = {12},
  number = {10},
  pages = {379},
  doi = {10.3390/geosciences12100379},
  abstract = {A simple analytical model is presented in this work to investigate reflection coefficients due to the interactions of waves with rectangular submerged obstacles/and submarine trenches. Our intention in this work is to present a simple analytical model to simulate and study water-wave scattering by evaluating reflection coefficients. Further, our challenge is to present an analytical model that can easily investigate simultaneously the effects of rectangular submerged obstacles/and submarine trenches on wave scattering. Furthermore, reflection coefficients are investigated for different immersion ratios and relative lengths simultaneously for submarine trenches/and rectangular submerged obstacles. In addition, to ensure the validity of the presented model, our results are well compared with those of the literature. Finally, a comparison of reflection coefficients associated with the interactions of waves with rectangular submerged obstacles/and submarine trenches are presented to investigate the most efficient breakwater, and to highlight the importance of the presented model.},
  keywords = {water wave scattering, rectangular submerged obstacle, submarine trench, reflection coefficient, analytical model, wave-structure interaction, breakwater design, hydrodynamics}
}