A MATHEMATICAL MODEL FOR TSUNAMI WAVES PROPAGATION GENERATED BY BOTTOM MOTION

• Main Author: Jayadi, Devina
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/46284
• Institution: Institut Teknologi Bandung

The recent tsunami still had much loss of life and property damage. Experts are trying to perform more accurate simulations of tsunami waves. In the wake of many tsunami tragedies, it is necessary to develop early warning systems. Therefore, we focus on numerical modeling for simulating free surface wave as a response to bottom motions. In this study, analytical method for studying surface waves generated by a bottom motion is presented. We also study the numerical schemes – Shallow water equation and non-hydrostatic model based on the staggered finite volume method. We address the Euler equations in which the vertical domain is resolved only by one layer. First, we mimic Hammack experiments numerically, in which a bed section is moved upwards or downwards, resulting in dispersive waves. After we show that our numerical schemes can produce the correct wave profiles by comparing with the analytical and experimental results of Hammack, we simulate other bottom motions which are (1) Downward – Upward Seabed Movement, (2) Flip Fault, and (3) Double Flip Fault. Via this simulation, we demonstrate that our scheme and analytical method can nicely simulate wave profiles generated by the sudden movement of the ocean floor.