δ-SW-SPH: Version 2

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Authors: Domenico D. Meringolo, Pierfranco Costabile, Francesco Aristodemo, Pasquale Filianoti
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Abstract

This repository provides an implementation of the δ-SW-SPH method, a numerical scheme extending the δ-SPH approach to the Shallow Water (SW) equations. The solver introduces a diffusive correction to the continuity equation expressed in terms of the free-surface elevation. This strategy, inspired by stabilization techniques successfully applied to SPH discretizations of the Euler equations, enables stable and accurate solutions of the SW system without the need for additional stabilization procedures. The method is described in detail in the associated publication: DOI: https://doi.org/10.1016/j.cpc.2026.110194 The current code setup reproduces the test case presented in Section 5.4 of the paper.

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
4 May 2026