One-sided difference schemes and transonic flow
1980 (English)In: Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, E-ISSN 1091-6490, Vol. 77, no 6, 3071-3074 p.Article in journal (Refereed) Published
Two one-sided conservation form difference approximations to a scalar one-dimensional convex conservation law are introduced. These are respectively of first- and second-order accuracy and each has the minimum possible band-width. They are nonlinearly stable, they converge only to solutions satisfying the entropy condition, and they have sharp monotone profiles. No such stable approximation of order higher than two is possible. Dimensional splitting algorithms are constructed and used to approximate the small-disturbance equation of transonic flow. These approximations are also nonlinearly stable and without nonphysical limit solutions.
Place, publisher, year, edition, pages
1980. Vol. 77, no 6, 3071-3074 p.
Computer and Information Science
IdentifiersURN: urn:nbn:se:kth:diva-90515DOI: 10.1073/pnas.77.6.3071OAI: oai:DiVA.org:kth-90515DiVA: diva2:505756
NR 201408052012-02-242012-02-24Bibliographically approved