Numerical discretization of coupling conditions by high-order schemes
| dc.contributor.author | Banda, M.K. (Mapundi) | |
| dc.contributor.author | Hack, A.S. | |
| dc.contributor.author | Herty, M. | |
| dc.contributor.email | mapundi.banda@up.ac.za | en_ZA |
| dc.date.accessioned | 2016-08-16T09:06:31Z | |
| dc.date.issued | 2016-10 | |
| dc.description.abstract | We consider numerical schemes for 2 2 hyperbolic conservation laws on graphs. The hyperbolic equations are given on the spatially one{dimensional arcs and are coupled at a single point, the node, by a nonlinear coupling condition. We develop high-order nite volume discretizations for the coupled problem. The reconstruction of the uxes at the node is obtained using derivatives of the parameterized algebraic conditions imposed at the nodal points in the network. Numerical results illustrate the expected theoretical behavior. | en_ZA |
| dc.description.department | Mathematics and Applied Mathematics | en_ZA |
| dc.description.embargo | 2017-10-30 | |
| dc.description.librarian | hb2016 | en_ZA |
| dc.description.sponsorship | This work has been partly supported by DFG ‘Integrated Production in High-Wage Countries’ and the BMBF KinOpt project. This work is also based on the research supported in part by the National Research Foundation of South Africa (Grant No. 93476) and the Research Development Programme of the University of Pretoria. | en_ZA |
| dc.description.uri | http://link.springer.com/journal/10915 | en_ZA |
| dc.identifier.citation | Banda, M.K., Häck, AS. & Herty, M. Numerical discretization of coupling conditions by high-order schemes. Journal of Scientific Computing (2016) 69: 122-145. doi:10.1007/s10915-016-0185-x. | en_ZA |
| dc.identifier.issn | 0885-7474 (print) | |
| dc.identifier.issn | 1573-7691 (online) | |
| dc.identifier.other | 10.1007/s10915-016-0185-x | |
| dc.identifier.uri | http://hdl.handle.net/2263/56342 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | Springer | en_ZA |
| dc.rights | © Springer Science+Business Media New York 2016. The original publication is available at : http://link.springer.com/journal/10915. | en_ZA |
| dc.subject | Numerical methods | en_ZA |
| dc.subject | Higher-order coupling | en_ZA |
| dc.subject | Networks of fluid dynamics | en_ZA |
| dc.title | Numerical discretization of coupling conditions by high-order schemes | en_ZA |
| dc.type | Postprint Article | en_ZA |