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A DISCONTINUOUS GALERKIN METHOD FOR THE STATIONARY BOUSSINESQ SYSTEM

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dc.creatorELIGIO ANTONIO COLMENARES GARCÍA
dc.creatorRICARDO ELVIS OYARZÚA VARGAS
dc.date2022
dc.date.accessioned2025-01-10T15:31:56Z
dc.date.available2025-01-10T15:31:56Z
dc.date.issued2022
dc.description.abstractIN THIS WORK WE PRESENT AND ANALYZE A FINITE ELEMENT SCHEME YIELDING DISCONTINUOUS GALERKIN APPROXIMATIONS TO THE SOLUTIONS OF THE STATIONARY BOUSSINESQ SYSTEM FOR THE SIMULATION OF NON-ISOTHERMAL FLOW PHENOMENA. THE MODEL CONSISTS OF A NAVIER?STOKES-TYPE SYSTEM, DESCRIBING THE VELOCITY AND THE PRESSURE OF THE FLUID, COUPLED TO AN ADVECTION-DIFFUSION EQUATION FOR THE TEMPERATURE. THE PROPOSED NUMERICAL SCHEME IS BASED ON THE STANDARD INTERIOR PENALTY TECHNIQUE AND AN UPWIND APPROACH FOR THE NONLINEAR CONVECTIVE TERMS AND EMPLOYS THE DIVERGENCE-CONFORMING BREZZI?DOUGLAS?MARINI (BDM) ELEMENTS OF ORDER K FOR THE VELOCITY, DISCONTINUOUS ELEMENTS OF ORDER K-1FOR THE PRESSURE AND DISCONTINUOUS ELEMENTS OF ORDER K FOR THE TEMPERATURE. EXISTENCE AND UNIQUENESS RESULTS ARE SHOWN AND STATED RIGOROUSLY FOR BOTH THE CONTINUOUS PROBLEM AND THE DISCRETE SCHEME, AND OPTIMAL A PRIORI ERROR ESTIMATES ARE ALSO DERIVED. NUMERICAL EXAMPLES BACK UP THE THEORETICAL EXPECTED CONVERGENCE RATES AS WELL AS THE PERFORMANCE OF THE PROPOSED TECHNIQUE.
dc.formatapplication/pdf
dc.identifier.doi10.1515/cmam-2022-0021
dc.identifier.issn1609-9389
dc.identifier.issn1609-4840
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/12458
dc.languagespa
dc.publisherComputational Methods in Applied Mathematics
dc.relation.uri10.1515/cmam-2022-0021
dc.rightsPUBLICADA
dc.subjectFIXED-POINT THEORY
dc.subjectFINITE ELEMENT METHODS
dc.subjectDIVERGENCE-CONFORMING ELEMENTS
dc.subjectDISCONTINUOUS GALERKIN METHOD
dc.subjectBOUSSINESQ EQUATIONS
dc.subjectA PRIORI ERROR ANALYSIS
dc.titleA DISCONTINUOUS GALERKIN METHOD FOR THE STATIONARY BOUSSINESQ SYSTEM
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCHILLÁN
ubb.SedeCONCEPCIÓN
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