556
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RWTH Publication No: 811904 2021   |
TITLE |
Hyperbolic Discretization via Riemann Invariants |
AUTHORS |
Sara Grundel, Michael Herty |
ABSTRACT |
We are interested in numerical schemes for the simulation of large scale gas
networks. Typical models are based on the isentropic Euler equations with realistic
gas constant. The numerical scheme is based on transformation of conservative
variables in Riemann invariants and its corresponding numerical dsicretization. A
particular, novelty of the proposed method is the possbility to allow for an efficient
discretization of the boundary and coupling conditions at nodal points of the network.
The original discretization is analysed in view of its property to correctly recover
steady states as well as to resolve possible analytic solutions. Comparisons with
existing methods show the advantage of the novel method. |
KEYWORDS |
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DOI |
10.1016/j.apm.2022.01.006 |
PUBLICATION |
Applied Mathematical Modelling, Volume 106, June 2022, Pages 60-72
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