RT Journal Article
T1 A Class of Well-Balanced Algorithms for Relativistic Fluids on a Schwarzschild Background
A1 LeFloch, Philippe G.
A1 Parés-Madroñal, Carlos María
A1 Pimentel García, Ernesto
K1 Dinámica de fluidos relativista
AB For the evolution of a compressible fluid in spherical symmetry on a Schwarzschild curved background, we design a class of well-balanced numerical algorithms up to third-order accuracy. We treat both the relativistic Burgers–Schwarzschild model and the relativistic Euler–Schwarzschild model and take advantage of the explicit or implicit forms available for the stationary solutions of these models. Our schemes follow the finite volume methodology and preserve the stationary solutions. Importantly, they allow us to investigate the global asymptotic behavior of such flows and determine the asymptotic behavior of the mass density and velocity field of the fluid.
PB Springer
YR 2021
FD 2021-08-16
LK https://hdl.handle.net/10630/24027
UL https://hdl.handle.net/10630/24027
LA eng
NO LeFloch, P.G., Parés, C. & Pimentel-García, E. A Class of Well-Balanced Algorithms for Relativistic Fluids on a Schwarzschild Background. J Sci Comput 89, 3 (2021). https://doi.org/10.1007/s10915-021-01611-y
NO Part of this paper was written during the Academic year 2018–2019 when PLF was a visiting fellow at the Courant Institute for Mathematical Sciences, New York University. The authors were supported by an Innovative Training Network (ITN) under the grant 642768 “ModCompShock”. The research of CP and EPG was also partially supported by the Spanish Government (SG), the European Regional Development Fund (ERDF), the Regional Government of Andalusia (RGA), and the University of Málaga (UMA) through the projects RTI2018-096064-B-C21 (SG-ERDF), UMA18-Federja-161 (RGA-ERDF-UMA), and P18-RT-3163 (RGA-ERDF). Funding for open access charge: Universidad de Málaga/CBUA.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026