Publicación: ANALYSIS OF A SEMI-AUGMENTED MIXED FINITE ELEMENT METHOD FOR DOUBLE-DIFFUSIVE NATURAL CONVECTION IN POROUS MEDIA
| dc.creator | ELIGIO ANTONIO COLMENARES GARCÍA | |
| dc.date | 2022 | |
| dc.date.accessioned | 2025-01-10T15:28:33Z | |
| dc.date.available | 2025-01-10T15:28:33Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | IN THIS PAPER WE STUDY A STATIONARY DOUBLE-DIFFUSIVE NATURAL CONVECTION PROBLEM IN POROUS MEDIA GIVEN BY A NAVIER-STOKES/BRINKMAN TYPE SYSTEM, FOR DESCRIBING THE VELOCITY AND THE PRESSURE, COUPLED TO A VECTOR ADVECTION-DIFFUSION EQUATION RELATE TO THE HEAT AND SUBSTANCE CONCENTRATION, OF A VISCOUS FLUID IN A POROUS MEDIA WITH PHYSICAL BOUNDARY CONDITIONS. THE MODEL PROBLEM IS REWRITTEN IN TERMS OF A FIRST-ORDER SYSTEM, WITHOUT THE PRESSURE, BASED ON THE INTRODUCTION OF THE STRAIN TENSOR AND A NONLINEAR PSEUDO-STRESS TENSOR IN THE FLUID EQUATIONS. AFTER A VARIATIONAL APPROACH, THE RESULTING WEAK MODEL IS THEN AUGMENTED USING APPROPRIATE REDUNDANT PENALIZATION TERMS FOR THE FLUID EQUATIONS ALONG WITH A STANDARD PRIMAL FORMULATION FOR THE HEAT AND SUBSTANCE CONCENTRATION. THEN, IT IS REWRITTEN AS AN EQUIVALENT FIXED-POINT PROBLEM. WELL-POSEDNESS RESULTS FOR BOTH THE CONTINUOUS AND THE DISCRETE SCHEMES ARE STATED, AS WELL AS THE RESPECTIVE CONVERGENCE RESULT UNDER CERTAIN REGULARITY ASSUMPTIONS COMBINED WITH THE LAX-MILGRAM THEOREM, AND THE BANACH AND BROUWER FIXED-POINT THEOREMS. IN PARTICULAR, RAVIART-THOMAS ELEMENTS OF ORDER K ARE USED FOR APPROXIMATING THE PSEUDO-STRESS TENSOR, PIECEWISE POLYNOMIALS OF DEGREE ?K AND ARE UTILIZED FOR APPROXIMATING THE STRAIN TENSOR AND THE VELOCITY, RESPECTIVELY, AND THE HEAT AND SUBSTANCE CONCENTRATION ARE APPROXIMATED BY MEANS OF LAGRANGE FINITE ELEMENTS OF ORDER . OPTIMAL A PRIORI ERROR ESTIMATES ARE DERIVED AND CONFIRMED THROUGH SOME NUMERICAL EXAMPLES THAT ILLUSTRATE THE PERFORMANCE OF THE PROPOSED SEMI-AUGMENTED MIXED-PRIMAL SCHEME. | |
| dc.format | application/pdf | |
| dc.identifier.doi | 10.1016/j.camwa.2022.03.032 | |
| dc.identifier.issn | 1873-7668 | |
| dc.identifier.issn | 0898-1221 | |
| dc.identifier.uri | https://repositorio.ubiobio.cl/handle/123456789/12190 | |
| dc.language | spa | |
| dc.publisher | COMPUTERS & MATHEMATICS WITH APPLICATIONS | |
| dc.relation.uri | 10.1016/j.camwa.2022.03.032 | |
| dc.rights | PUBLICADA | |
| dc.title | ANALYSIS OF A SEMI-AUGMENTED MIXED FINITE ELEMENT METHOD FOR DOUBLE-DIFFUSIVE NATURAL CONVECTION IN POROUS MEDIA | |
| dc.title.alternative | ANÁLISIS DE UN MÉTODO DE ELEMENTOS FINITOS MIXTOS SEMIAUSADOS PARA CONVECCIÓN NATURAL DE DOBLE DIFUSIÓN EN MEDIOS POROSOS | |
| dc.type | ARTÍCULO | |
| dspace.entity.type | Publication | |
| ubb.Estado | PUBLICADA | |
| ubb.Otra Reparticion | DEPARTAMENTO DE CIENCIAS BASICAS | |
| ubb.Sede | CHILLÁN |
