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Listar por autor "Chalons, Christophe"
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A semi-implicit fully exactly well-balanced relaxation scheme for the shallow water system.
Caballero Cárdenas, Celia; Castro-Díaz, Manuel Jesús; Chalons, Christophe; Morales-de-Luna, Tomás
; Muñoz-Ruiz, María de la Luz
(SIAM, 2024)
This article focuses on the design of semi-implicit schemes that are fully well-balanced for the one-dimensional shallow water equations, that is, schemes that preserve all smooth steady states of the system and not just ... -
All-regime Lagrangian-Remap numerical schemes for the gas dynamics equations. Applications to the large friction and low Mach coefficients
Chalons, Christophe (2016-05-16)In this talk, we propose an all regime Lagrange-Projection like numerical scheme for the gas dynamics equations. By all regime, we mean that the numerical scheme is able to compute accurate approximate solutions with an ... -
High-order in-cell discontinuous reconstruction path-conservative methods for nonconservative hyperbolic systems–DR.MOOD method
Pimentel García, Ernesto; Castro-Díaz, Manuel Jesús; Chalons, Christophe; Parés-Madroñal, Carlos María
(Wiley, 2024)
In this work, we develop a new framework to deal numerically with discontinuous solutions in nonconservative hyperbolic systems. First an extension of the MOOD methodology to nonconservative systems based on Taylor expansions ... -
In-cell discontinuous reconstruction path-conservative methods for non conservative hyperbolic systems - Second-order extension
Pimentel García, Ernesto; Castro-Díaz, Manuel Jesús; Chalons, Christophe; Morales-de-Luna, Tomás
; Parés-Madroñal, Carlos María
(Elsevier, 2022-06-15)
We are interested in the numerical approximation of discontinuous solutions in non conservative hyperbolic systems. An extension to second-order of a new strategy based on in-cell discontinuous reconstructions to deal with ...