RT Journal Article
T1 High-order in-cell discontinuous reconstruction path-conservative methods for nonconservative hyperbolic systems–DR.MOOD method
A1 Pimentel García, Ernesto
A1 Castro-Díaz, Manuel Jesús
A1 Chalons, Christophe
A1 Parés-Madroñal, Carlos María
K1 Ecuaciones en derivadas parciales
K1 Ecuaciones diferenciales hiperbólicas
K1 Análisis numérico
K1 Análisis matemático
K1 Matemáticas aplicadas
AB 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.
PB Wiley
YR 2024
FD 2024
LK https://hdl.handle.net/10630/32486
UL https://hdl.handle.net/10630/32486
LA eng
NO 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
NO Funding for open access charge: Universidad de Málaga / CBUA. The research of EPG, MC, and CP has been partially supported by the Spanish Government (SG) through the project PID2022-137637NB-C21 funded by MCIN/AEI/10.13039/501100011033 and FSE+. EPG was also financed by the European Union (NextGenerationEU).
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 4 mar 2026