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A CONFORMING MIXED FINITE ELEMENT METHOD FOR THE NAVIER-STOKES/DARCY COUPLED PROBLEM

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dc.creatorRICARDO ELVIS OYARZÚA VARGAS
dc.date2017
dc.date.accessioned2025-01-10T14:29:22Z
dc.date.available2025-01-10T14:29:22Z
dc.date.issued2017
dc.description.abstractIN THIS PAPER WE DEVELOP THE A PRIORI ANALYSIS OF A MIXED FINITE ELEMENT METHOD FOR THE COUPLING OF FLUID FLOW WITH POROUS MEDIA FLOW. FLOWS ARE GOVERNED BY THE NAVIER?STOKES AND DARCY EQUATIONS, RESPECTIVELY, AND THE CORRESPONDING TRANSMISSION CONDITIONS ARE GIVEN BY MASS CONSERVATION, BALANCE OF NORMAL FORCES, AND THE BEAVERS-JOSEPH-SAFFMAN LAW. WE CONSIDER THE STANDARD MIXED FORMULATION IN THE NAVIER?STOKES DOMAIN AND THE DUAL-MIXED ONE IN THE DARCY REGION, WHICH YIELDS THE INTRODUCTION OF THE TRACE OF THE POROUS MEDIUM PRESSURE AS A SUITABLE LAGRANGE MULTIPLIER. THE FINITE ELEMENT SUBSPACES DEFINING THE DISCRETE FORMULATION EMPLOY BERNARDI-RAUGEL AND RAVIART-THOMAS ELEMENTS FOR THE VELOCITIES, PIECEWISE CONSTANTS FOR THE PRESSURES, AND CONTINUOUS PIECEWISE LINEAR ELEMENTS FOR THE LAGRANGE MULTIPLIER. WE SHOW STABILITY, CONVERGENCE, AND A PRIORI ERROR ESTIMATES FOR THE ASSOCIATED GALERKIN SCHEME. FINALLY, SEVERAL NUMERICAL RESULTS ILLUSTRATING THE GOOD PERFORMANCE OF THE METHOD AND CONFIRMING THE THEORETICAL RATES OF CONVERGENCE ARE REPORTED.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s00211-016-0811-4
dc.identifier.issn0945-3245
dc.identifier.issn0029-599X
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/7655
dc.languagespa
dc.publisherNUMERISCHE MATHEMATIK
dc.relation.uri10.1007/s00211-016-0811-4
dc.rightsPUBLICADA
dc.titleA CONFORMING MIXED FINITE ELEMENT METHOD FOR THE NAVIER-STOKES/DARCY COUPLED PROBLEM
dc.title.alternativeUN MÉTODO DE ELEMENTOS FINITOS MIXTOS CONFORMES PARA EL PROBLEMA ACOPLADO DE NAVIER-STOKES/DARCY
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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