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ON STREAMWISE VELOCITY SPECTRA MODELS WITH FRACTAL AND LONG-MEMORY EFFECTS

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dc.creatorTARIK FAOUZI
dc.date2021
dc.date.accessioned2025-01-10T15:25:58Z
dc.date.available2025-01-10T15:25:58Z
dc.date.issued2021
dc.description.abstractUSING THEORETICAL ARGUMENTS, WE PRESENT TWO NOVEL SPECTRUM MODELS OF THE STREAMWISE VELOCITY COMPONENT WITH ROBUST CORRELATION STRUCTURES, WHICH ACCOUNT FOR AND DECOUPLE THE FRACTAL DIMENSION AND HURST EFFECT. THE FORMULATIONS THAT USE ISOTROPIC CONCEPTS ARE ADAPTED FROM THE MODERN PROBABILITY THEORY USING THE SO-CALLED GENERALIZED CAUCHY AND DAGUM MODELS, WHICH BELONG TO WIDE-SENSE-STATIONARY RANDOM FIELDS. A COMPLEMENTARY INSPECTION OF THESE TWO MODELS WITH FIELD DATA FROM A MET-TOWER-MOUNTED SONIC ANEMOMETER LOCATED WITHIN THE ATMOSPHERIC SURFACE LAYER REVEALS GOOD AGREEMENT AND BETTER PERFORMANCE THAN OTHER CONVENTIONALLY USED ISOTROPIC-BASED MODELS OF STREAMWISE VELOCITY SPECTRA. THE FRACTAL DIMENSION, D, OF BOTH MODELS IS CONSISTENT WITH THE WELL-KNOWN KOLMOGOROV ?5/3 POWER LAW IN THE INERTIAL SUB-RANGE. FOR COMPLETENESS, THE STUDY INCLUDES A DERIVATION OF THE EXPLICIT FORMS OF THE ENERGY SPECTRAL DENSITIES OF THE CAUCHY AND DAGUM COVARIANCES.
dc.formatapplication/pdf
dc.identifier.doi10.1063/5.0040453
dc.identifier.issn1089-7666
dc.identifier.issn1070-6631
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/11988
dc.languagespa
dc.publisherPHYSICS OF FLUIDS
dc.relation.uri10.1063/5.0040453
dc.rightsPUBLICADA
dc.titleON STREAMWISE VELOCITY SPECTRA MODELS WITH FRACTAL AND LONG-MEMORY EFFECTS
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE ESTADISTICA
ubb.SedeCONCEPCIÓN
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