A note on the effect of artificial viscosity on solutions of conservation laws
1996 (English)In: Applied Numerical Mathematics, ISSN 0168-9274, E-ISSN 1873-5460, Vol. 21, 155-173 p.Article in journal (Refereed) Published
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.
IdentifiersURN: urn:nbn:se:kth:diva-65753DOI: 10.1016/0168-9274(96)00006-2OAI: oai:DiVA.org:kth-65753DiVA: diva2:483637
NR 201408052012-01-252012-01-25Bibliographically approved