Shifted boundary method pour systèmes hyperboliques: ondes linéaires et équations shallow water
| hal.structure.identifier | Duke University [Durham] | |
| dc.contributor.author | SONG, Ting | |
| hal.structure.identifier | Duke University [Durham] | |
| dc.contributor.author | MAIN, Alex | |
| hal.structure.identifier | Duke University [Durham] | |
| dc.contributor.author | SCOVAZZI, Guglielmo | |
| hal.structure.identifier | Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM] | |
| dc.contributor.author | RICCHIUTO, Mario | |
| dc.date.accessioned | 2024-04-04T03:07:05Z | |
| dc.date.available | 2024-04-04T03:07:05Z | |
| dc.date.issued | 2017-12-22 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193402 | |
| dc.description.abstract | On propose une nouvelle approche pour des simulations avec bords immergés pour des systèmes hyperboliques et en particulier les équations shallow water. L’approche proposée consiste en modifier les conditions au bords avec un développement limité permettant d’assurer l’ordre deux avec des embedded boundaries. L’approche est implementé est ici dans le cadre d’une méthode de type stabilized finite element sur un très grand nombre de cas tests représentatifs d’applications de propagation de vagues et inondation | |
| dc.description.abstractEn | We propose a new computational approach for embedded boundary simulations ofhyperbolic systems. Applications are shown for the linear wave equations and for the nonlinearshallow water system. The proposed approach belongs to the class of surrogate/approximateboundary algorithms and is based on the idea of shifting the location where boundary conditionsare applied from the true to a surrogate boundary. Accordingly, boundary conditions, enforcedweakly, are appropriately modified to preserve optimal error convergence rates. This frameworkis applied here in the setting of a stabilized finite element method, even though other spatialdiscretization techniques could have been employed. Accuracy, stability and robustness of theproposed method are tested by means of an extensive set of computational experiments for theacoustic wave propagation equations and shallow water equations. Comparisons with standardweak boundary conditions imposed on grids that conform to the geometry of the computationaldomain boundaries are also presented. | |
| dc.language.iso | en | |
| dc.subject | conditions aux bords embedded | |
| dc.subject | équations des ondes | |
| dc.subject | équations shallow water | |
| dc.subject | éléments finis | |
| dc.subject | méthodes immergées | |
| dc.subject.en | Embedded boundary conditions | |
| dc.subject.en | approximate boundary methods | |
| dc.subject.en | wave equation | |
| dc.subject.en | shallow water flows | |
| dc.subject.en | finite elements | |
| dc.title | Shifted boundary method pour systèmes hyperboliques: ondes linéaires et équations shallow water | |
| dc.title.en | The shifted boundary method for hyperbolic systems: Embedded domain computations of linear waves and shallow water flows | |
| dc.type | Rapport | |
| dc.subject.hal | Informatique [cs]/Modélisation et simulation | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| dc.subject.hal | Planète et Univers [physics]/Océan, Atmosphère | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph] | |
| bordeaux.page | 1-56 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.type.institution | Inria Bordeaux Sud-Ouest | |
| bordeaux.type.report | rr | |
| hal.identifier | hal-01671990 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01671990v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.title=Shifted%20boundary%20method%20pour%20syst%C3%A8mes%20hyperboliques:%20ondes%20lin%C3%A9aires%20et%20%C3%A9quations%20shallow%20water&rft.atitle=Shifted%20boundary%20method%20pour%20syst%C3%A8mes%20hyperboliques:%20ondes%20lin%C3%A9aires%20et%20%C3%A9quations%20shallow%20water&rft.date=2017-12-22&rft.spage=1-56&rft.epage=1-56&rft.au=SONG,%20Ting&MAIN,%20Alex&SCOVAZZI,%20Guglielmo&RICCHIUTO,%20Mario&rft.genre=unknown |
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