ONE-DIMENSIONAL (1-D) AND TWO-DIMENSIONAL (2-D) NUMERICAL MODELLING OF WAVE PROPAGATION PHENOMENON PASSING THROUGH VEGETATIONS

• Main Author: Vivianne
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/49459
• Institution: Institut Teknologi Bandung

In this research, we focus on the development and evaluation of the mathematical model observing wave attenuation phenomenon by porous media. Wave attenuation is a term that refers to the reduction of wave energy as the effect of scattering and absorbing. First, the one-dimensional (1-D) and two-dimensional (2-D) mathematical model that represents the wave propagation phenomenon passing through porous media is governed using Shallow Water Equations (SWEs). Secondly, some modifications towards the SWEs will be applied in order to capture the wave attenuation caused by porous media. The modifications are by adding friction and diffusion factor into the SWEs. Afterwards, the 1-D model will be solved analytically using the characteristics method and numerically using the finite volume method on a staggered grid scheme. Moreover, numerical observation of the wave propagation phenomenon will be conducted on a real bathymetry profile. The 2-D SWEs is discretized using the Arakawa Staggered C-Grid. In this 2-D model, wave shoaling phenomenon is taken into account. Wave shoaling is the change in water height as the effect of change in water depth. Next, the robustness of the 1-D numerical scheme is validated by its convergence to the analytical solution by means of the transmission coefficient. The transmission coefficient represents the wave amplitude reduction caused by the porous media. The results show that the friction coefficient, diffusion coefficient, and vegetation length have a significant effect upon the transmission coefficient.