Consistent Velocity-Pressure Coupling for Second-Order L 2 -Penalty and Direct-Forcing Methods
| hal.structure.identifier | Institut de Mécanique et d'Ingénierie [I2M] | |
| dc.contributor.author | SARTHOU, Arthur | |
| hal.structure.identifier | Laboratoire de Modélisation et Simulation Multi Echelle [MSME] | |
| dc.contributor.author | VINCENT, Stéphane | |
| dc.contributor.author | CALTAGIRONE, Jean-Paul | |
| dc.date.accessioned | 2021-05-14T09:34:25Z | |
| dc.date.available | 2021-05-14T09:34:25Z | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 2311-5521 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/76130 | |
| dc.description.abstractEn | The present work studies the interactions between fictitious-domain methods on structured grids and velocity-pressure coupling for the resolution of the Navier-Stokes equations. The pressure-correction approaches are widely used in this context but the corrector step is generally not modified consistently to take into account the fictitious domain. A consistent modification of the pressure-projection for a high-order penalty (or penalization) method close to the Ikeno-Kajishima modification for the Immersed Boundary Method is presented here. Compared to the first-order correction required for the L 2-penalty methods, the small values of the penalty parameters do not lead to numerical instabilities in solving the Poisson equation. A comparison of the corrected rotational pressure-correction method with the augmented Lagrangian approach which does not require a correction is carried out. | |
| dc.language.iso | en | |
| dc.publisher | MDPI | |
| dc.subject.en | Navier-Stokes equations | |
| dc.subject.en | fictitious domain | |
| dc.subject.en | velocity-pressure coupling | |
| dc.subject.en | augmented Lagrangian | |
| dc.subject.en | pressure-correction methods | |
| dc.subject.en | projection methods | |
| dc.subject.en | fractionnal-step methods | |
| dc.subject.en | penalty method | |
| dc.subject.en | penalization method | |
| dc.subject.en | immersed boundary method | |
| dc.subject.en | incompressible flows | |
| dc.title.en | Consistent Velocity-Pressure Coupling for Second-Order L 2 -Penalty and Direct-Forcing Methods | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.3390/fluidsxx010005 | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph] | |
| bordeaux.journal | Fluids | |
| bordeaux.hal.laboratories | Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.institution | INRAE | |
| bordeaux.institution | Arts et Métiers | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02862463 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02862463v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Fluids&rft.date=2020&rft.eissn=2311-5521&rft.issn=2311-5521&rft.au=SARTHOU,%20Arthur&VINCENT,%20St%C3%A9phane&CALTAGIRONE,%20Jean-Paul&rft.genre=article |
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