**Acknowledgements**

**Figure 6** shows the water level change at the three points Miyako, Soma and Choshi in **Figure 4**. Solid curves show observed data [15] and dashed curves show numerical results. Though the arrival time of the first wave is almost same, the wave height is small compared with observed data at the points of Miyako and Soma. Results may be improved by changing

In this study, the viscous shallow-water equations have again been derived from the Navier-Stokes equations in which the hydrostatic pressure in the direction of gravity is assumed. Tsunami propagation is then simulated by a finite-element computation. In the study of

initial and boundary conditions.

70 Tsunami

**Figure 6.** Time histories of *ζ*.

**4. Concluding remarks**

**Figure 7.** Structural analysis in the case of tsunami attack [9].

The first author thanks the JKA RING!RING! Project for the financial support during 2015FY.

Parts of this chapter are reproduced from [9], © 2013 The Author(s); originally published under CC BY license.
