Fast sweeping methods for hyperbolic systems of conservation laws at steady state II

The idea of using fast sweeping methods for solving stationary systems of conservation laws has previously been proposed for efficiently computing solutions with sharp shocks. We further develop these methods to allow for a more challenging class of problems including problems with sonic points, sho...

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Bibliographic Details
Published in:Journal of computational physics 2015-04, Vol.286, p.70-86
Main Authors: Engquist, Björn, Froese, Brittany D., Tsai, Yen-Hsi Richard
Format: Article
Language:English
Subjects:
Accuracy
Computation
Computational efficiency
Conservation laws
Fast sweeping methods
Hyperbolic equations
Numerical analysis
Optimization
Production methods
Steady state
Sweeping
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Summary:The idea of using fast sweeping methods for solving stationary systems of conservation laws has previously been proposed for efficiently computing solutions with sharp shocks. We further develop these methods to allow for a more challenging class of problems including problems with sonic points, shocks originating in the interior of the domain, rarefaction waves, and two-dimensional systems. We show that fast sweeping methods can produce higher-order accuracy. Computational results validate the claims of accuracy, sharp shock curves, and optimal computational efficiency.
ISSN:0021-9991
1090-2716
1090-2716
DOI:10.1016/j.jcp.2015.01.028