An Offline-Online Riemann Solver for One-Dimensional Systems of Conservation Laws
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Author(s)
Taddei, Tommaso
Quarteroni, Alfio
Salsa, Sandro
Date Issued
June 2016
Journal
Vietnam Journal of Mathematics
Publisher
Springer Singapore
Citation
Taddei, Tommaso, Alfio Quarteroni, and Sandro Salsa. “An Offline-Online Riemann Solver for One-Dimensional Systems of Conservation Laws.” Vietnam Journal of Mathematics 44, no. 4 (June 11, 2016): 873–891.
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s10013-016-0212-0
