A well-balanced meshless tsunami propagation and inundation model

Abstract

We present a novel meshless tsunami propagation and inundation model. We discretize the nonlinear shallow-water equations using a well-balanced scheme relying on radial basis function based finite differences. The inundation model relies on radial basis function generated extrapolation from the wet points closest to the wet-dry interface into the dry region. Numerical results against standard one-and two-dimensional benchmarks are presented.

Well-balanced mesh-based and meshless schemes for the shallow-water equations

“…Inundation is not considered here, and we use the analytical solution to prescribe the time-varying boundary condition. For the discussion of a possible inundation model for this case, consult [4]. The results of this convergence study are reported in Table 1, showing that, as expected, the balanced scheme is consistently better than the unbalanced scheme, both being of second order.…”