Towards very high-order accurate schemes for unsteady convection problems on unstructured meshes.
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ABGRALL, R. | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ANDRIANOV, N. | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MEZINE, M. | |
| dc.date.accessioned | 2024-04-04T02:35:12Z | |
| dc.date.available | 2024-04-04T02:35:12Z | |
| dc.date.issued | 2005 | |
| dc.identifier.issn | 0271-2091 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190616 | |
| dc.description.abstractEn | Summary: We construct several high-order residual-distribution methods for two-dimensional unsteady scalar advection on triangular unstructured meshes. For the first class of methods, we interpolate the solution in the space-time element. We start by calculating the first-order node residuals, then we calculate the high-order cell residual, and modify the first-order residuals to obtain high accuracy. For the second class of methods, we interpolate the solution in space only, and use high-order finite difference approximation for the time derivative. In doing so, we arrive at a multistep residual-distribution scheme. We illustrate the performance of both methods on several standard test problems. | |
| dc.language.iso | en | |
| dc.publisher | Wiley | |
| dc.subject.en | unstructured meshes | |
| dc.subject.en | hyperbolic problems | |
| dc.subject.en | residual-distribution schemes | |
| dc.subject.en | fluctuation splitting schemes | |
| dc.title.en | Towards very high-order accurate schemes for unsteady convection problems on unstructured meshes. | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1002/fld.870 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | International Journal for Numerical Methods in Fluids | |
| bordeaux.page | 679-691 | |
| bordeaux.volume | 47 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 8-9 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | inria-00402652 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//inria-00402652v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=International%20Journal%20for%20Numerical%20Methods%20in%20Fluids&rft.date=2005&rft.volume=47&rft.issue=8-9&rft.spage=679-691&rft.epage=679-691&rft.eissn=0271-2091&rft.issn=0271-2091&rft.au=ABGRALL,%20R.&ANDRIANOV,%20N.&MEZINE,%20M.&rft.genre=article |
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