A spectacular solver of low-Mach multiphase Navier-Stokes problems under strong stresses
| hal.structure.identifier | Institut de Mathématiques de Marseille [I2M] | |
| dc.contributor.author | ANGOT, Philippe | |
| dc.contributor.author | CALTAGIRONE, Jean-Paul | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | FABRIE, Pierre | |
| dc.date.accessioned | 2024-04-04T03:16:34Z | |
| dc.date.available | 2024-04-04T03:16:34Z | |
| dc.date.created | 2015-11 | |
| dc.date.conference | 2015-11-02 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194224 | |
| dc.description.abstractEn | We present the main features and sharp numerical applications of the fast vector penalty-projection methods (VPP ε) [1, 2, 3], based on three key ideas explained further. In particular, we proposed new fast Helmholtz-Hodge decompo-sitions of L 2-vector fields in bounded domains by solving vector elliptic problems penalized with suitable adapted right-hand sides [4]. This procedure, used as an approximate divergence-free velocity projection step, yields a velocity divergence vanishing as O(ε δt), δt being the time step. It only requires a few iterations of preconditioned conjugate gradients whatever the spatial mesh step h, if the penalty parameter ε is chosen sufficiently small up to machine precision, e.g. ε = 10 −14. These methods prove to be efficient, fast and robust to accurately compute incom-pressible or low Mach multiphase flows under strong stresses: large mass density, viscosity or anisotropic permeability jumps, strong surface tension inducing large interface deformations, or with open boundary conditions, whereas other methods either cannot reach the suitable mesh convergence and run slower or simply crash. | |
| dc.language.iso | en | |
| dc.publisher | Springer | |
| dc.source.title | Turbulence and Interactions, Proceedings of the TI 2015 conference | |
| dc.subject.en | Vector penalty-projection methods | |
| dc.subject.en | fast Helmholtz-Hodge decompositions | |
| dc.subject.en | Navier-Stokes equations | |
| dc.subject.en | Multiphase flows | |
| dc.subject.en | incompressible or low-Mach flows | |
| dc.subject.en | strong stresses | |
| dc.subject.en | large density or viscosity variations | |
| dc.title.en | A spectacular solver of low-Mach multiphase Navier-Stokes problems under strong stresses | |
| dc.type | Communication dans un congrès | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Informatique [cs]/Modélisation et simulation | |
| dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph] | |
| 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 | 4th International Conference on Turbulence and Interactions | |
| bordeaux.country | FR | |
| bordeaux.title.proceeding | Turbulence and Interactions, Proceedings of the TI 2015 conference | |
| bordeaux.conference.city | Cargèse (Corsica) | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01248744 | |
| hal.version | 1 | |
| hal.invited | non | |
| hal.proceedings | oui | |
| hal.conference.organizer | Institut d'Etudes Scientifiques de Cargèse & ONERA | |
| hal.conference.end | 2015-11-06 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01248744v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Turbulence%20and%20Interactions,%20Proceedings%20of%20the%20TI%202015%20conference&rft.au=ANGOT,%20Philippe&CALTAGIRONE,%20Jean-Paul&FABRIE,%20Pierre&rft.genre=unknown |
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