Abstract
The numerical accuracy and stability of the stabilized space-time finite element method based on GLS for shallow water flows is investigated in this paper. The numerical solutions obtained by the stabilized space-time finite element method are compared with the stabilized finite element solutions using the finite difference discretization (Crank-Nicolson method) in time. This paper also investigates the efficiency of the way using a variable time step size based on CFL condition for shallow water flow analysis.