A Computational Model for Simulation of Shallow Water Waves by Elastic Deformations in the Topography

We propose a coupled model to simulate shallow water waves induced by elastic deformations in the bed topography. The governing equations consist of the depth-averaged including friction terms for freesurface and well-known second-order elastostatics formulation deformation. perturbation on free-surface is assumed be caused by sudden change bottom beds. At interface between flow topography, transfer conditions are implemented. Here, hydrostatic pressure and friction forces considered elastostatic whereas bathymetric forces are accounted equations. focus present study on the development simple accurate representation interaction between water order practical flows without relying complex partial differential with free boundary conditions. effects location magnitude deformation fields and free-surface investigated details. Numerical simulations carried out for several test examples sudden changes the bed. proposed computational has been found feasible satisfactory.