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A note on the effect of artificial viscosity on solutions of conservation laws
KTH, Superseded Departments, Numerical Analysis and Computer Science, NADA.
KTH, Superseded Departments, Numerical Analysis and Computer Science, NADA.
1996 (English)In: Applied Numerical Mathematics, ISSN 0168-9274, E-ISSN 1873-5460, Vol. 21, 155-173 p.Article in journal (Refereed) Published
Abstract [en]

We consider central difference schemes with artificial viscosity terms for nonlinear hyperbolic systems. We analyze the influence of artificial viscosity on solutions with shocks of nonlinear hyperbolic problems in one dimension. Both stationary and moving shocks are considered. The analysis shows that for the Euler equations one can obtain well behaved (sharp) shock layers when a scalar viscosity coefficient is used. This is not true for a general system. Numerical computations of Burgers' equation and the Euler equations are presented. They support the results from the linear theory.

Place, publisher, year, edition, pages
Elsevier, 1996. Vol. 21, 155-173 p.
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Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-65753DOI: 10.1016/0168-9274(96)00006-2OAI: oai:DiVA.org:kth-65753DiVA: diva2:483637
Note
NR 20140805Available from: 2012-01-25 Created: 2012-01-25 Last updated: 2017-12-08Bibliographically approved

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