Accurate numerical schemes for approximating initial-boundary value problems for systems of conservation laws
- Mishra, Siddhartha Center of Mathematics for Applications (CMA), University of Oslo, Oslo, Norway
- Spinolo, Laura V. IMATI-CNR, via Ferrata 1, Pavia, 27100, Italy
- 2015-4-13
Published in:
- Journal of Hyperbolic Differential Equations. - World Scientific Pub Co Pte Lt. - 2015, vol. 12, no. 01, p. 61-86
English
Solutions of initial-boundary value problems for systems of conservation laws depend on the underlying viscous mechanism, namely different viscosity operators lead to different limit solutions. Standard numerical schemes for approximating conservation laws do not take into account this fact and converge to solutions that are not necessarily physically relevant. We design numerical schemes that incorporate explicit information about the underlying viscosity mechanism and approximate the physical-viscosity solution. Numerical experiments illustrating the robust performance of these schemes are presented.
- Language
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- English
- Open access status
- green
- Identifiers
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- DOI 10.1142/s0219891615500034
- ISSN 0219-8916
- Persistent URL
- https://sonar.ch/global/documents/140068
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