Basic Relations between Tsunamis Calculation and Their Physics–ii

Basic tsunami physics of propagation and run-up is discussed for the simple geometry of a channel. Modifications of a numerical technique are suggested for the long-distance propagation and for the nonlinear processes in tsunami waves. The principal modification is application of the higher order of approximations for the first derivative in space. Presently, tsunami calculations employ the high resolution 2D and 3D models for generation and runup processes, while propagation is resolved by the regular 2D models. Such approach requires boundary conditions which will seamlessly connect the high resolution calculations to the propagation models. These conditions are described with the help of the method of characteristics. Science of Tsunami Hazards, Vol 21, Number 3 (2003) page 154