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| HAL : inria-00462103, version 1 |
| DOI : 10.1137/100788124 |
| Voir la fiche détaillée |  BibTeX,EndNote,... |
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| SIAM Journal on Scientific Computing 33, 2 (2011) 541-564 |
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| Projection schemes for fluid flows through a porous interface |
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Alfonso Caiazzo 1Miguel Angel Fernández 1 |
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| (2011) |
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| This paper presents a numerical method to simulate an incompressible fluid through an immersed porous interface. The interface is modeled by a surface measure term in the Navier-Stokes equations and it is characterized by a resistance parameter. This approach can be used for example to model valves or to simulate blood flood through an immersed stent. Starting from a monolithic formulation proposed recently, a fractional step algorithm is derived. The difficult point is that this formulation is singular when the resistance vanishes, which can be a serious issue in some applications. We show that an appropriate Nitsche's treatment of the interface condition fixes this problem and ensures uniform energy stability in time, for any non-negative value of the resistance. The theoretical stability and convergence results are illustrated with numerical experiments |
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| 1 : | REO (INRIA Rocquencourt) |
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INRIA – Laboratoire Jacques-Louis Lions |
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| 2 : | Université de Technologie de Compiègne (UTC) |
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Université de Technologie de Compiègne |
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| Domaine | : | Mathématiques/Analyse numérique Sciences du Vivant/Ingénierie biomédicale |
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| inria-00462103, version 1 | |
| http://hal.inria.fr/inria-00462103 | |
| oai:hal.inria.fr:inria-00462103 | |
| Contributeur : Miguel Angel Fernández | |
| Soumis le : Lundi 8 Mars 2010, 17:30:07 | |
| Dernière modification le : Jeudi 5 Janvier 2012, 14:49:37 | |
