Abstract
In this paper, basic characteristics of tsunami invasion processes are discussed. The authors had applied self-similarity distribution analysis to shallow flow equations in order to clarify the characteristics of tsunami invasion processes in previous study. In the study, inertia-pressure regime and pressure-friction regime had been considered separately and the self-similarity solution in pressure-friction regime had been derived, assuming the water rising. In this paper, inertia-pressure regime in increasing the water depth were discussed to throw further light on the features of tsunami invasion processes. In addition, in order to study the characteristics in decreasing the water depth, the self-similarity solution in this process was derived. Numerical simulations were also carried out to verify the theoretical findings. Finally, the tsunami invasion processes were classified from these characteristics based on self similarity distribution analysis and were verified by numerical simulations.