A well-balanced meshless tsunami propagation and inundation model

Brecht, Rüdiger; Bihlo, Alexander; MacLachlan, Scott; Behrens, Jörn

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A well-balanced meshless tsunami propagation and inundation model

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Brecht, R., Bihlo, A., MacLachlan, S., & Behrens, J. (in preparation). A well-balanced meshless tsunami propagation and inundation model.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-DA05-1

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.