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research article
An Offline-Online Riemann Solver for One-Dimensional Systems of Conservation Laws
In this paper, we present an exact Riemann solver for one-dimensional systems of conservation laws. The method is based on an offline-online computational decomposition. During the offline stage, we generate an accurate surrogate model for the solution to the Riemann problem for arbitrary left and right states. Then, during the online stage, we employ the surrogate model to generate accurate initial conditions for an iterative Newton solver. We present a mathematical analysis of the Riemann problem to justify the proposed approach. Finally, we illustrate its effectiveness by means of two numerical examples.
Type
research article
Web of Science ID
WOS:000393860300017
Authors
Publication date
2016
Publisher
Published in
Volume
44
Issue
4
Start page
873
End page
891
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
March 27, 2017
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