.

Non-oscillatory central schemes on unstructured grids for two-dimensional hyperbolic conservation laws

LAUR Repository

Show simple item record

dc.contributor.author Touma, R.
dc.contributor.author Jannoun, G.
dc.date.accessioned 2016-04-07T09:00:09Z
dc.date.available 2016-04-07T09:00:09Z
dc.date.copyright 2012
dc.date.issued 2016-04-07
dc.identifier.issn 0168-9274 en_US
dc.identifier.uri http://hdl.handle.net/10725/3508
dc.description.abstract We propose a new central finite volume scheme on unstructured triangular grids to approximate the solution of general two-dimensional hyperbolic systems of conservation laws. The proposed method is an unstructured two-dimensional extension of the original Nessyahu and Tadmor scheme, and a generalization of the barycentric central methods of Arminjon et al. Starting with a conformal finite element triangulation, the proposed method evolves a piecewise linear numerical solution on two staggered grids, thus avoiding the resolution of the Riemann problems arising at the cell interfaces. The control cells of the original grid are the triangles of a finite element mesh, while the dual cells are the staggered quadrilaterals constructed on adjacent triangles. The resulting central scheme is second-order accurate both in space and time and is oscillations-free thanks to numerical gradients limiting. The extension of the staggered Lax–Friedrichs scheme on unstructured grids is easily obtained from the Nessyahu and Tadmor extension by simply evolving a piecewise constant solution instead of a linear one. We validate the developed schemes and solve classical two-dimensional problems arising in gas dynamics. The quality of the obtained numerical results confirms the efficiency and robustness of the proposed schemes. en_US
dc.language.iso en en_US
dc.title Non-oscillatory central schemes on unstructured grids for two-dimensional hyperbolic conservation laws en_US
dc.type Article en_US
dc.description.version Published en_US
dc.author.school SAS en_US
dc.author.idnumber 200502935 en_US
dc.author.woa N/A en_US
dc.author.department Computer Science and Mathematics en_US
dc.description.embargo N/A en_US
dc.relation.journal Applied Numerical Mathematics en_US
dc.journal.volume 62 en_US
dc.journal.issue 8 en_US
dc.article.pages 941-955 en_US
dc.keywords Finite volume methods en_US
dc.keywords Unstructured central schemes en_US
dc.keywords Gas dynamics en_US
dc.keywords Non-oscillatory en_US
dc.keywords Limiters en_US
dc.identifier.doi http://dx.doi.org/10.1016/j.apnum.2012.03.003 en_US
dc.identifier.ctation Touma, R., & Jannoun, G. (2012). Non-oscillatory central schemes on unstructured grids for two-dimensional hyperbolic conservation laws. Applied Numerical Mathematics, 62(8), 941-955. en_US
dc.author.email rony.touma@lau.edu.lb
dc.identifier.url http://www.sciencedirect.com/science/article/pii/S0168927412000517


Files in this item

This item appears in the following Collection(s)

Show simple item record

Search LAUR


Advanced Search

Browse

My Account