Abstract: A well balanced numerical scheme based on
stationary waves for shallow water flows with arbitrary topography
has been introduced by Thanh et al. [18]. The scheme was
constructed so that it maintains equilibrium states and tests indicate
that it is stable and fast. Applying the well-balanced scheme for the
one-dimensional shallow water equations, we study the early shock
waves propagation towards the Phuket coast in Southern Thailand
during a hypothetical tsunami. The initial tsunami wave is generated
in the deep ocean with the strength that of Indonesian tsunami of
2004.