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

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dc.creatorRICARDO ELVIS OYARZÚA VARGAS
dc.date2020
dc.date.accessioned2025-01-10T15:14:26Z
dc.date.available2025-01-10T15:14:26Z
dc.date.issued2020
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.issn2804-7214
dc.identifier.issn2822-7840
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/11077
dc.languagespa
dc.publisherESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS
dc.relation.uri10.1007/s00211-016-0811-4
dc.rightsPUBLICADA
dc.subjectNavier?Stokes problem / Darcy?Forchheimer problem / pressure-velocity formulation / fixed-point theory / mixed finite element methods / a priori error analysis
dc.titleA CONFORMING MIXED FINITE ELEMENT METHOD FOR THE NAVIER-STOKES/DARCY-FORCHHEIMER COUPLED PROBLEM
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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