CIVA-stabilized finite element method for tsunami numerical simulations

Abstract

This paper presents a numerical method based on CIVA-Stabilized finite element method (CIVA-SUPG) for tsunami simulations. The Boussinesq equation is employed for the governing equation of motion. The equation system is divided into two phases; an advection phase and a non-advection phase. The equations for advection phase are solved by CIVA method, and the equations for non-advection phase are solved by a stabilized finite element method based on SUPG method. The present method is applied to several numerical examples to show the validity and efficiency.