Our team deals with the numerical modeling of tsunami waves in order to study the fundamental aspects of the problem and solve applied problems of tsunami risk assessment.
Distribution of the calculated maximum tsunami wave heights along the coast of the Far East of Russia from the model earthquake in south-eastern Kamchatka:

 

We investigate tsunami waves with seismic and landslide origin.

In the case of seismogenic tsunamis, we use the "piston" model of the dislocation source of the underwater quake – model of Podyapolskii-Gusyakov-Okada, which allows to calculate the displacement of the ocean floor caused by the corresponding tsunamigenic earthquakes. The assumption of a pulsed nature of this shift allows to use it as an initial perturbation of the free surface of water. Our algorithms realize also the ability to set an extended time-slip bottom (with different laws of growth - linear, cosine, exponential), as well to use any combination of multiple foci.

In the study of tsunami waves generated by underwater landslides, the source of the perturbation of the free surface is caused by landslide, moving as a quasi-nondeformable body, all the particles of which move with the same horizontal velocity components under the action of gravity, buoyancy, hydrodynamic drag, bottom friction forces, and taking into account the added mass. It is also possible to consider landslide as a layer of ideal incompressible fluid, that is more dense and non-mixed with the surrounding water.
Аnimation of the quasi-nondeformable landslide motion off the coast of Papua New Guinea: <avi>

To simulate the propagation of surface waves, we use a hierarchy of approximate models of wave hydrodynamics, which includes both non-linear dispersion models and the classical linear and nonlinear shallow water models in Cartesian and spherical coordinate systems.
Animation of water wave propagation from the model earthquake off the east coast of Japan: <avi>