Numerical method in riemann invariant form for a submerged bar breakwater model

Author:

Magdalena I,Rif’atin H Q,Kristianto I J

Abstract

Abstract Recently, Geotextiles are widely used for coastal protection in Indonesia. Geotextile is one of the implementations of a submerged bar as a breakwater. Here, we will study the damping mechanism of the Geotextile to reduce the incoming wave amplitudes through a mathematical model. The model that we use based on the Shallow Water Equations. Analytical solutions for wave transmission coefficient are derived using the Separation of Variables Method. Numerically, we construct a scheme using the Riemann Invariant Method to approximate the analytical model. For validation, the numerical results are compared against the analytical wave transmission coefficient, which resulted in a very good agreement between the two findings. Further, we investigate the effect of the changes in the dimension of a submerged bar to the reduction of the transmitted wave amplitude.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

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