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A Well-Balanced SPH-ALE Scheme for Shallow Water Applications

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PrietoArranz2021_JSC_88-84.pdf (2.35 MB)

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URI: http://hdl.handle.net/2183/28720
DOI: 10.1007/s10915-021-01600-1

Publication date

2021

Authors

Prieto Arranz, Alberto

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Bibliographic citation

Prieto-Arranz, A., Ramírez, L., Couceiro, I. et al. A Well-Balanced SPH-ALE Scheme for Shallow Water Applications. J Sci Comput 88, 84 (2021). https://doi.org/10.1007/s10915-021-01600-1

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Academic degree

Abstract

[Abstract] In this work, a new discretization of the source term of the shallow water equations with non-flat bottom geometry is proposed to obtain a well-balanced scheme. A Smoothed Particle Hydrodynamics Arbitrary Lagrangian-Eulerian formulation based on Riemann solvers is presented to solve the SWE. Moving-Least Squares approximations are used to compute high-order reconstructions of the numerical fluxes and, stability is achieved using the a posteriori MOOD paradigm. Several benchmark 1D and 2D numerical problems are considered to test and validate the properties and behavior of the presented schemes.

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Financiado para publicación en acceso aberto: Universidade da Coruña/CISUG

Keywords

Shallow water equations SPH-ALE Smoothed particle hydrodynamics Well-balanced methods Moving least squares

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https://doi.org/10.1007/s10915-021-01600-1

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Atribución 4.0 Internacional

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Atribución 4.0 Internacional

Except where otherwise noted, this item's license is described as Atribución 4.0 Internacional