Finite Volume and Finite Element Schemes for the Euler Equation in Cylindrical and Spherical Coordinates
| hal.structure.identifier | Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS] | |
| dc.contributor.author | DE SANTIS, Dante | |
| hal.structure.identifier | Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS] | |
| dc.contributor.author | GERACI, Gianluca | |
| hal.structure.identifier | Dipartimento di Scienze e Tecnologie Aerospaziali [Milano] [DAER] | |
| dc.contributor.author | GUARDONE, Alberto | |
| dc.date.accessioned | 2024-04-15T09:44:39Z | |
| dc.date.available | 2024-04-15T09:44:39Z | |
| dc.date.issued | 2012-12-01 | |
| dc.identifier.issn | 0377-0427 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/197865 | |
| dc.description.abstractEn | A numerical scheme is presented for the solution of the compressible Euler equations in both cylindrical and spherical coordinates. The unstructured grid solver is based on a mixed finite volume/finite element approach. Equivalence conditions linking the node-centered finite volume and the linear Lagrangian finite element scheme over unstructured grids are reported and used to devise a common framework for solving the discrete Euler equations in both the cylindrical and the spherical reference systems. Numerical simulations are presented for the explosion and implosion problems with spherical symmetry, which are solved in both the axial-radial cylindrical coordinates and the radial-azimuthal spherical coordinates. Numerical results are found to be in good agreement with one-dimensional simulations over a fine mesh. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.title.en | Finite Volume and Finite Element Schemes for the Euler Equation in Cylindrical and Spherical Coordinates | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.cam.2012.02.006 | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph] | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph] | |
| bordeaux.journal | Journal of Computational and Applied Mathematics | |
| bordeaux.hal.laboratories | Laboratoire Bordelais de Recherche en Informatique (LaBRI) - UMR 5800 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00730349 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00730349v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Computational%20and%20Applied%20Mathematics&rft.date=2012-12-01&rft.eissn=0377-0427&rft.issn=0377-0427&rft.au=DE%20SANTIS,%20Dante&GERACI,%20Gianluca&GUARDONE,%20Alberto&rft.genre=article |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||