Vector penalty-projection methods for the solution of unsteady incompressible flows
| hal.structure.identifier | Laboratoire d'Analyse, Topologie, Probabilités [LATP] | |
| dc.contributor.author | ANGOT, Philippe | |
| hal.structure.identifier | Transferts, écoulements, fluides, énergétique [TREFLE] | |
| dc.contributor.author | CALTAGIRONE, Jean-Paul | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | FABRIE, Pierre | |
| dc.contributor.editor | R. Eymard and J.-M. Hérard | |
| dc.date.accessioned | 2024-04-04T02:28:58Z | |
| dc.date.available | 2024-04-04T02:28:58Z | |
| dc.date.created | 2008 | |
| dc.date.issued | 2008-06 | |
| dc.date.conference | 2008-06 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190136 | |
| dc.description.abstractEn | A new family of methods, the so-called two-parameter {\em vector penalty-projection} (VPP$_{r,\eps}$) methods, is proposed where an original {\em penalty-correction step} for the velocity replaces the standard scalar pressure-correction one to calculate flows with divergence-free velocity. This allows us to impose the desired boundary condition to the end-of-step velocity-pressure variables without any trouble. The counterpart to pay back is that in these methods, the cons\-traint on the discrete divergence of velocity is only satisfied approximately as $\cO(\eps\dt)$ within a {\em penalty-correction step} and the penalty parameter $0<\eps\leq 1$ must be decreased until the resulting splitting error is made negligible compared to the time discretization error. However, the crucial issue is that the linear system associated with the projection step can be solved all the more easily as $\eps\dt$ is smaller. Finally, the {\em vector penalty-projection method} (VPP$_{r,\eps}$) has several nice advantages: the Dirichlet or open boundary conditions are not spoiled through a scalar pressure-correction step. Moreover, this method can be generalized in a natural way for variable density or viscosity flows and we show that the vector correction step can be made quasi-independent on the density or viscosity variables (and also on the non-linear terms) if $\eta=\eps\dt$ is taken sufficiently small. These terms can be then neglected in practical schemes. | |
| dc.language.iso | en | |
| dc.publisher | ISTE Ltd - J. Wiley & Sons (UK, USA) | |
| dc.source.title | Finite Volumes for Complex Applications V; Problems & perspectives | |
| dc.subject.en | Vector penalty-projection methods | |
| dc.subject.en | Projection methods | |
| dc.subject.en | Artificial compressibility | |
| dc.subject.en | Navier-Stokes equations | |
| dc.subject.en | Incompressible and variable density flows | |
| dc.subject.en | Cell-centered MAC scheme | |
| dc.title.en | Vector penalty-projection methods for the solution of unsteady incompressible flows | |
| dc.type | Communication dans un congrès | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph] | |
| dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph] | |
| dc.subject.hal | Physique [physics]/Physique [physics]/Physique Numérique [physics.comp-ph] | |
| bordeaux.page | 169-176 | |
| bordeaux.volume | 5 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.conference.title | 5th International Symposium on Finite Volumes for Complex Applications | |
| bordeaux.country | FR | |
| bordeaux.title.proceeding | Finite Volumes for Complex Applications V; Problems & perspectives | |
| bordeaux.conference.city | Aussois | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00483583 | |
| hal.version | 1 | |
| hal.invited | non | |
| hal.proceedings | oui | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00483583v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Finite%20Volumes%20for%20Complex%20Applications%20V;%20Problems%20&%20perspectives&rft.date=2008-06&rft.volume=5&rft.spage=169-176&rft.epage=169-176&rft.au=ANGOT,%20Philippe&CALTAGIRONE,%20Jean-Paul&FABRIE,%20Pierre&rft.genre=unknown |
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