Publicación:
A VIRTUAL ELEMENT DISCRETIZATION FOR THE TIME DEPENDENT NAVIER-STOKES EQUATIONS IN STREAM-FUNCTION FORMULATION

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dc.creatorALBERTH ANTONIO SILGADO BALLESTA
dc.creatorDAVID ANDRÉS MORA HERRERA
dc.date2021
dc.date.accessioned2025-01-10T15:24:08Z
dc.date.available2025-01-10T15:24:08Z
dc.date.issued2021
dc.description.abstractIN THIS WORK, A NEW VIRTUAL ELEMENT METHOD (VEM) OF ARBITRARY ORDER K>=2, FOR THE TIME DEPENDENT NAVIER-STOKES EQUATIONS IN STREAM FUNCTION FORM IS PROPOSED AND ANALYSED. USING SUITABLE PROJECTION OPERATORS, THE BILINEAR AND TRILINEAR TERMS ARE DISCRETISED BY ONLY USING THE PROPOSED DEGREES OF FREEDOM ASSOCIATED WITH THE VIRTUAL SPACE. UNDER CERTAIN ASSUMPTIONS ON THE COMPUTATIONAL DOMAIN, ERROR ESTIMATIONS ARE DERIVED AND SHOWN THAT THE METHOD OPTIMALLY CONVERGENT IN BOTH SPACE AND TIME VARIABLES. FINALLY, TO JUSTIFY THE THEORETICAL ANALYSIS, FOUR BENCHMARK EXAMPLES ARE EXAMINED NUMERICALLY.
dc.formatapplication/pdf
dc.identifier.doi10.1051/m2an/2021058
dc.identifier.issn2804-7214
dc.identifier.issn2822-7840
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/11844
dc.languagespa
dc.publisherESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS
dc.relation.uri10.1051/m2an/2021058
dc.rightsPUBLICADA
dc.titleA VIRTUAL ELEMENT DISCRETIZATION FOR THE TIME DEPENDENT NAVIER-STOKES EQUATIONS IN STREAM-FUNCTION FORMULATION
dc.title.alternativeUNA DISCRETIZACIÓN DE ELEMENTOS VIRTUALES PARA LAS ECUACIONES DE NAVIER-STOKES DEPENDIENTES DEL TIEMPO EN LA FORMULACIÓN DE FUNCIONES DE FLUJO
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
ubb.SedeCONCEPCIÓN
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