# A well-balanced meshless tsunami propagation and inundation model

## TL;DR

This paper introduces a new meshless tsunami model that uses radial basis functions for accurate simulation of wave propagation and inundation, validated against standard benchmarks.

## Contribution

It presents a novel well-balanced meshless approach combining radial basis functions for both tsunami propagation and inundation modeling.

## Key findings

- Accurate tsunami wave propagation simulation demonstrated.
- Effective inundation modeling via radial basis function extrapolation.
- Validated against standard benchmarks with promising results.

## 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.