Abstract
In this study, we propose to solve the traveling time of the first arriving wave of a tsunami as the shortest route problem in which the submarine topography is given. It is proved that the accuracy of analysis can be improved by the design of wave orthogonal from each node where the water depth is allocated, when the nodes are located at regular intervals. It is also shown that the accuracy of analysis can be understood quantitatively by the relation with the interval of located nodes. Finally, it is demonstrated that the phenomena such as diffraction and refraction of wave can be simulated using the proposed method.
