UWSpace will be migrating to a new version of its software from July 29th to August 1st. UWSpace will be offline for all UW community members during this time.
On the optimal CFL number of SSP methods for hyperbolic problems
dc.contributor.author | Giuliani, Andrew | |
dc.contributor.author | Krivodonova, Lilia | |
dc.date.accessioned | 2018-10-22 18:59:47 (GMT) | |
dc.date.available | 2018-10-22 18:59:47 (GMT) | |
dc.date.issued | 2019-01-01 | |
dc.identifier.uri | https://dx.doi.org/10.1016/j.apnum.2018.08.015 | |
dc.identifier.uri | http://hdl.handle.net/10012/14042 | |
dc.description | The final publication is available at Elsevier via https://dx.doi.org/10.1016/j.apnum.2018.08.015 © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/ | en |
dc.description.abstract | We show that the theory for strong stability preserving (SSP) time stepping methods employed with the method of lines-type discretizations of hyperbolic conservation laws may result in overly stringent time step restrictions. We analyze a fully discrete finite volume method with slope reconstruction and a second order SSP Runge–Kutta time integrator to show that the maximum stable time step can be increased over the SSP limit. Numerical examples indicate that this result extends to two-dimensional problems on triangular meshes. | en |
dc.description.sponsorship | Natural Sciences and Engineering Research Council of Canada ["341373-07"] | en |
dc.description.sponsorship | Alexander Graham Bell PGS-D | en |
dc.description.sponsorship | NVIDIA Corporation | en |
dc.language.iso | en | en |
dc.publisher | Elsevier | en |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | CFL condition | en |
dc.subject | Hyperbolic conservation laws | en |
dc.subject | Method of lines | en |
dc.subject | Stability | en |
dc.subject | Strong stability preserving methods | en |
dc.title | On the optimal CFL number of SSP methods for hyperbolic problems | en |
dc.type | Article | en |
dcterms.bibliographicCitation | Giuliani, A., & Krivodonova, L. (2019). On the optimal CFL number of SSP methods for hyperbolic problems. Applied Numerical Mathematics, 135, 165–172. doi:10.1016/j.apnum.2018.08.015 | en |
uws.contributor.affiliation1 | Faculty of Mathematics | en |
uws.contributor.affiliation2 | Applied Mathematics | en |
uws.typeOfResource | Text | en |
uws.typeOfResource | Text | en |
uws.peerReviewStatus | Reviewed | en |
uws.scholarLevel | Faculty | en |
uws.scholarLevel | Graduate | en |