RT Journal Article
T1 Multi-component gas flow non-linear hyperbolic systems with sources segregated scheme finite volume method well-balanced scheme
A1 Bermúdez, Alfredo
A1 López, Xián
A1 Vázquez Cendón, María Elena
K1 Multi-component gas flow
K1 Non-linear hyperbolic systems with sources
K1 Segregated scheme
K1 Finite volume method
K1 Well-balanced scheme
AB A first-order well-balanced finite volume scheme for the  solution of a  multi-component gas flow model in a pipe on non-flat topography is introduced. The mathematical model consists of Euler equations with source terms which arise from heat exchange, and gravity and viscosity forces, coupled with the mass conservation equations of species. We propose a segregated scheme in which the Euler and species equations are solved separately. This methodology leads to a flux vector in the Euler equations which depends not only on the conservative variables but also on time and space variables through the gas composition. This fact makes necessary to add some artificial viscosity to the usual numerical flux which is done by introducing an additional source term. Besides, in order to preserve the positivity  of the species concentrations, we discretize the flux in the mass conservation equations for species, in accordance with the upwind discretization of the total mass conservation equation in the Euler system.  Moreover, as proposed in a previous reference by the authors, \cite{BLV}, the discretizations of the flux and source terms are made so as to ensure that the full scheme is well-balanced. Numerical tests including both academic and real gas network problems are solved, showing the performance of the proposed methodology.
PB Elsevier
SN 0045-7930
YR 2017
FD 2017-10-12
LK http://hdl.handle.net/10347/16882
UL http://hdl.handle.net/10347/16882
LA eng
NO Finite volume methods for multi-component Euler equations with source terms A Bermúdez, X López, ME Vázquez-Cendón Computers & Fluids 156, 113-134
NO This is the accepted manuscript of the following article: Finite volume methods for multi-component Euler equations with source terms A Bermúdez, X López, ME Vázquez-Cendón Computers & Fluids 156, 113-134. https://doi.org/10.1016/j.compfluid.2017.07.004
NO The authors wish to thank the referees for their useful remarks. This work  was supported by the Reganosa company, by FEDER and the Spanish Ministry of Scienceand Innovation under research projects ENE2013-47867-C2-1-R and MTM2013-43745-R, and by FEDER and Xunta de Galicia under research project GRC2013/014
DS Minerva
RD 24 abr 2026