2014 Volume 70 Issue 2 Pages I_307-I_315
This paper presents a 2D-3D hybrid stabilized finite element method that enables us to analyze both tsunami offshore propagation and runup in urban areas with high accuracy and relatively low computational costs. The shallow water equations are employed for 2D simulation of the offshore flow in a global oceanic area, while the incompressible Navier-Stokes equations are used to analyze 3D flow behavior in a local urban area. The SUPG method is commonly applied to stabilize both the 2D and 3D FE discretized equations, and the VOF method is used to capture the 3D free-surface flow. Meshes for 2D and 3D simulations are generated independently of each other and the method of multiple-point constraint is applied to impose the continuity conditions of flow velocities and pressures at the interface between the 2D and 3D meshes of different topologies. Several numerical examples are presented to demonstrate the performance and efficiency of the proposed hybrid method.
