Abstract: Numerical simulation is a key component of the tsunami research. It helps us to understand the fundamental physics of tsunami and take mitigation measures. Programming on numerical tsunami simulation is a cumbersome work. This paper introduces two powerful general-use software kits, PETSc and FEPG, which ease the programming a lot. PETSc and FEPG use a large variety of discretization methods, such as finite-difference, finite-element, and finite-volume, and provide stable resolution to the numerical problem. We make our application with the nonlinear shallow water equations in a Cartesian coordinate as the governing equation, and find these two methods are handy and efficient.

Key words: Tsunami, Numerical simulation, Nonlinear shallow water equations, PETSc, FEPG