Numerical computation of some aspects of 26 December 2004 Tsunami along the west coast of Thailand and Peninsular Malaysia using a Cartesian coordinate shallow water model.

*(English)*Zbl 1119.86003In the paper, some aspects of the tsunami based on the nonlinear shallow water equations in Cartesian coordinates are studied numerically. The present paper is a continuation of the study [G. D. Roy and A. M. I. Izani, Proc. Int. Conf. Math. Appl., Mahidol University, Thailand, 389 (2005)]. The wave propagation, maximum surge level and arrival time of maximum surge at the west coast of Peninsular Malaysia and Thailand with different orientation of the source of tsunami along the coastal belt are computed.

The results show that the Cartesian coordinate shallow water model is capable for simulating different aspects of tsunami with reasonable accuracy. It is also found that orientation of the source has a significant effect on the maximum surge amplitude along the coastal belt. The special study is carried out to investigate the effect of convective terms and it is found that in the framework of shallow water equations, their effect is insignificant in tsunami computation.

The results show that the Cartesian coordinate shallow water model is capable for simulating different aspects of tsunami with reasonable accuracy. It is also found that orientation of the source has a significant effect on the maximum surge amplitude along the coastal belt. The special study is carried out to investigate the effect of convective terms and it is found that in the framework of shallow water equations, their effect is insignificant in tsunami computation.

Reviewer: Felix Kaplanski (Tallinn)

##### MSC:

86A17 | Global dynamics, earthquake problems (MSC2010) |

86A05 | Hydrology, hydrography, oceanography |

85-08 | Computational methods for problems pertaining to astronomy and astrophysics |