Publicacións

@article{prieto-arranz_well-balanced_2021,

title = {A Well-Balanced SPH-ALE Scheme for Shallow Water Applications},

author = {Alberto Prieto-Arranz and Luis Ramírez-Palacios and Iván Couceiro-Aguiar and Ignasi Colominas-Ezponda and Xesús Nogueira-Garea},

url = {https://doi.org/10.1007/s10915-021-01600-1},

doi = {10.1007/s10915-021-01600-1},

issn = {1573-7691},

year  = {2021},

date = {2021-08-01},

urldate = {2026-08-07},

journal = {Journal of Scientific Computing},

volume = {88},

number = {3},

pages = {84},

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.},

keywords = {moving least squares, shallow water equations, Smoothed Particle Hydrodynamics, SPH-ALE, Well-balanced methods},

pubstate = {published},

tppubtype = {article}

}