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Numerical Simulation of Waves over Plane and Serrated Slopes

Author(s): D. Swetha; K. Murali; V. Sundar

Linked Author(s): Madhu Krishna Murali

Keywords: Boussinesq equation; Plane and serrated slopes; Wave maker; Run-up; Reflection coefficient

Abstract: Numerical simulation is carried out to study the generation, propagation and the run-up of different types of waves such as the regular, random and solitary waves. Bed slopes of 30o and45o are considered for the study with a variation of non-dimensionalised wave height (H/d) of the generated waves. This numerical study is carried out by adapting FUNWAVE which uses a rigid type piston type wave maker to generate waves from end of the wave flume on one side and the rear end could be defined with various configurations such as the vertical walls or sloping beds that may be the plane or projections like serrations and dentations. The non-dimensionalised parameters such as maximum run-up as well as the reflection coefficient by two-probe method is computed and compared with the published experimental results. The bed friction coefficient whose value ranges from 0.0097 to 0.012 for the serrated slopes has been quantified through a Navier-Stokes solver. The dimensionless run-up was found to be more for the bed slope of 30o when compared to the bed slope of 45o since a lesser portion of energy is used in the run-up process. The slope with serrations will reduce the run-up and reflection coefficient (K r) by about30%and 20%respectively.

DOI:

Year: 2010

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