Prieto Arranz, AlbertoRamírez, LuisCouceiro, IvánColominas, IgnasiNogueira, Xesús2021-10-252021-10-252021Prieto-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/s10915-021-01600-1http://hdl.handle.net/2183/28720Financiado para publicación en acceso aberto: Universidade da Coruña/CISUG[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.engAtribución 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/Shallow water equationsSPH-ALESmoothed particle hydrodynamicsWell-balanced methodsMoving least squaresjournal articleopen access10.1007/s10915-021-01600-1