2026-06-01T01:58:19Zhttps://riuma.uma.es/rest/oai/requestoai:riuma.uma.es:10630/324862026-02-03T11:13:30Zcom_10630_2254col_10630_37953
RIUMA. Repositorio Institucional de la Universidad de Málaga
author
Pimentel García, Ernesto
author
Castro-Díaz, Manuel Jesús
author
Chalons, Christophe
author
Parés-Madroñal, Carlos María
2024-08-30T11:01:53Z
2024-08-30T11:01:53Z
2024
E. Pimentel-García, M. J. Castro, C. Chalons and C. Parés, High-order in-cell discontinuous reconstruction path-conservative methods for nonconservative hyperbolic systems–DR.MOOD method, Numer. Methods Partial Differ. Eq. (2024), e23133. https://doi.org/10.1002/num.23133
https://hdl.handle.net/10630/32486
10.1002/num.23133
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 is presented. This extension combined with an in-cell discontinuous reconstruction operator are the key points to develop a new family of high-order methods that are able to capture exactly isolated shocks. Several test cases are proposed to validate these methods for the Modified Shallow Water equations and the Two-Layer Shallow Water system.
eng
Atribución 4.0 Internacional
Ecuaciones en derivadas parciales
Ecuaciones diferenciales hiperbólicas
Análisis numérico
Análisis matemático
Matemáticas aplicadas
High-order in-cell discontinuous reconstruction path-conservative methods for nonconservative hyperbolic systems–DR.MOOD method
journal article
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URL
https://riuma.uma.es/bitstreams/18313ba7-78ae-4130-ba34-c3756bdc3d53/download
File
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bbe01e6e9abcd8e2f3100ffd5edddd38
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Numerical Methods Partial - 2024 - Pimentel‐García - High‐order in‐cell discontinuous reconstruction path‐conservative.pdf