Unstaggered central schemes for hyperbolic systems

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dc.contributor.author Touma, Rony
dc.date.accessioned 2018-09-07T08:29:32Z
dc.date.available 2018-09-07T08:29:32Z
dc.date.copyright 2009 en_US
dc.identifier.uri http://hdl.handle.net/10725/8435
dc.description.abstract We develop an unstaggered central scheme for approximating the solution of general two‐dimensional hyperbolic systems. In particular, we are interested in solving applied problems arising in hydrodynamics and astrophysics. In contrast with standard central schemes that evolve the numerical solution on two staggered grids at consecutive time steps, the method we propose evolves the numerical solution on a single grid, and avoids the resolution of the Riemann problems arising at the cell interfaces, thanks to a layer of ghost cells implicitly used. The numerical base scheme is used to solve shallow water equation problems and ideal magnetohydrodynamic problems. To satisfy the divergence‐free constraint of the magnetic field in the numerical solution of ideal magnetohydrodynamic problems, we adapt Evans and Hawley’s the constrained transport method to our unstaggered base scheme, and apply it to correct the magnetic field components at the end of each time step. The obtained results are in good agreement with corresponding ones appearing in the recent literature, thus confirming the efficiency and the potential of the proposed method. en_US
dc.language.iso en en_US
dc.title Unstaggered central schemes for hyperbolic systems en_US
dc.type Conference Paper / Proceeding en_US
dc.author.school SAS en_US
dc.author.idnumber 200502835 en_US
dc.author.department Computer Science and Mathematics en_US
dc.description.embargo N/A en_US
dc.keywords Finite volume methods en_US
dc.keywords Public policy and governance en_US
dc.keywords Astrophysics en_US
dc.keywords Hydrodynamics en_US
dc.keywords Navier Stokes equations en_US
dc.keywords Magnetohydrodynamics en_US
dc.identifier.doi https://doi.org/10.1063/1.3241493 en_US
dc.identifier.ctation Touma, R. (2009, September). Unstaggered Central Schemes for Hyperbolic Systems. In AIP Conference Proceedings (Vol. 1168, No. 1, pp. 448-451). AIP. en_US
dc.author.email rony.touma@lau.edu.lb en_US
dc.conference.pages 448-451 en_US
dc.conference.title AIP Conference Proceedings en_US
dc.identifier.tou http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php en_US
dc.identifier.url https://aip.scitation.org/doi/abs/10.1063/1.3241493 en_US
dc.publication.date 2009 en_US
dc.volume 1168 en_US
dc.author.affiliation Lebanese American University en_US

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