A Well-Balanced SPH-ALE Scheme for Shallow Water Applications
Keyword(s):
AbstractIn 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.
2020 ◽
Vol 15
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pp. 155892502091561
2011 ◽
Vol 69
(8)
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pp. 1377-1410
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2020 ◽
Vol 358
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pp. 112639
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2014 ◽
Vol 70
(2)
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pp. I_16-I_20
2011 ◽
Vol 408
(1-2)
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pp. 78-90
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2018 ◽
Vol 16
(02)
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pp. 1846010
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