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.


Published in:
Vietnam Journal Of Mathematics, 44, 4, 873-891
Year:
2016
Publisher:
Singapore, Springer Singapore Pte Ltd
ISSN:
2305-221X
Keywords:
Laboratories:




 Record created 2017-03-27, last modified 2018-03-17


Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)