Nonlinear filters for efficient shock computation
1989 (English)In: Mathematics of Computation, ISSN 0025-5718, E-ISSN 1088-6842, Vol. 52, no 186, 509-537 p.Article in journal (Refereed) Published
A new type of methods for the numerical approximation of hyperbolic conservation laws with discontinuous solution is introduced. The methods are based on standard finite difference schemes. The difference solution is processed with a nonlinear conservation form filter at every time level to eliminate spurious oscillations near shocks. It is proved that the filter can control the total variation of the solution and also produce sharp discrete shocks. The method is simpler and faster than many other high resolution schemes for shock calculations. Numerical examples in one and two space dimensions are presented.
Place, publisher, year, edition, pages
1989. Vol. 52, no 186, 509-537 p.
Computer and Information Science
IdentifiersURN: urn:nbn:se:kth:diva-90499DOI: 10.2307/2008479OAI: oai:DiVA.org:kth-90499DiVA: diva2:505738
NR 201408052012-02-242012-02-24Bibliographically approved