Development of the Tsunami Run--up Simulations Based on the Lattice Boltzmann Method

Abstract

The Lattice Boltzmann Method (LBM) has been developed as a new and promising numerical model to solve the fluiddynamics. In the present study, the applicability of LBM for the Shallow Water Equations is discussed in terms of tsunamirun--up problem and its accuracy that relates spatial resolution. As a result, we found that LBM can be applied tothe tsunami run--up problems, and the LBM Solution has the accuracy as same as that of Finite Difference Method inthe same spatial resolution.