Nonlinear Wave Modeling
Analytical and numerical investigations are performed to quantify the effects of wave frequency dispersion, ocean bottom elasticity and water compressibility on the propagation speed of tsunami waves.
Within this study, a mild slope model based on linearized wave theory is formulated in plane Cartesian coordinates and these secondary physical effects are discussed within medium propagation distances. An extension to the Boussinesq model is also formulated in spherical polar coordinates, which is suitable for ocean scale simulations.
The model equations have been used to reconstruct tsunami waves generated by Tohoku-oki 2011 event.