- -

Turbulence Statistics of Arbitrary Moments of Wall-Bounded Shear Flows: A Symmetry Approach

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Turbulence Statistics of Arbitrary Moments of Wall-Bounded Shear Flows: A Symmetry Approach

Mostrar el registro sencillo del ítem

Ficheros en el ítem

dc.contributor.author Oberlack, Martin es_ES
dc.contributor.author Hoyas, S es_ES
dc.contributor.author Kraheberger, Stefanie V. es_ES
dc.contributor.author Alcántara-Ávila, Francisco es_ES
dc.contributor.author Laux, Jonathan es_ES
dc.date.accessioned 2022-10-10T18:07:47Z
dc.date.available 2022-10-10T18:07:47Z
dc.date.issued 2022-01-10 es_ES
dc.identifier.issn 0031-9007 es_ES
dc.identifier.uri http://hdl.handle.net/10251/187388
dc.description.abstract [EN] The calculation of turbulence statistics is considered the key unsolved problem of fluid mechanics, i.e., precisely the computation of arbitrary statistical velocity moments from first principles alone. Using symmetry theory, we derive turbulent scaling laws for moments of arbitrary order in two regions of a turbulent channel flow. Besides the classical scaling symmetries of space and time, the key symmetries for the present work reflect the two well-known characteristics of turbulent flows: non-Gaussianity and intermittency. To validate the new scaling laws we made a new simulation at an unprecedented friction Reynolds number of 10 000, large enough to test the new scaling laws. Two key results appear as an application of symmetry theory, which allowed us to generate symmetry invariant solutions for arbitrary orders of moments for the underlying infinite set of moment equations. First, we show that in the sense of the generalization of the deficit law all moments of the streamwise velocity in the channel center follow a power-law scaling, with exponents depending on the first and second moments alone. Second, we show that the logarithmic law of the mean streamwise velocity in wall-bounded flows is indeed a valid solution of the moment equations, and further, all higher moments in this region follow a power law, where the scaling exponent of the second moment determines all higher moments. With this we give a first complete mathematical framework for all moments in the log region, which was first discovered about 100 years ago. es_ES
dc.description.sponsorship The authors gratefully acknowledge computing time on the Gauss Centre for Supercomputing e.V. on the GCS Supercomputer SuperMUC-NG at Leibniz Supercomputing Centre under Project No. pr92la, on the supercomputer Lichtenberg II at TU Darmstadt under Project No. project00072, and on the supercomputer CLAIX-2018 at RWTH-Aachen under Project No. bund0008. S. V. K. gratefully acknowledges funding from projects OB96/39-1 and M. O. for partial funding from OB 96/48-1, both financed by the German Research Foundation (DFG) . S. H. and F. A.-A. were supported by Contract No. RTI2018-102256-B-I00 of Ministerio de Ciencia, innovacion y Universidades/FEDER. F. A.-A. is partially funded by GVA/FEDER project ACIF2018. Finally, the authors thank Paul Hollmann for help with the manuscript. es_ES
dc.language Inglés es_ES
dc.publisher American Physical Society es_ES
dc.relation.ispartof Physical Review Letters es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject.classification INGENIERIA AEROESPACIAL es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Turbulence Statistics of Arbitrary Moments of Wall-Bounded Shear Flows: A Symmetry Approach es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1103/PhysRevLett.128.024502 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/RTI2018-102256-B-I00/ES/TRANSFERENCIA DE CALOR EN FLUJOS DE PARED: CANALES Y CAPAS LIMITES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//ACIF%2F2018/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/DFG//OB96%2F48-1/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/DFG//OB96%2F39-1/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GENERALITAT VALENCIANA//ACIF%2F2018%2F133//AYUDA PREDOCTORAL GVA-ALCANTAR AVILA. PROYECTO: SIMULACION NUMERICA DIRECTA DE FLUJOS TERMICOS TURBULENTOS A ALTOS NUMERO DE REYNOLDS Y BAJO NUMERO DE PRANDT./ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Máquinas y Motores Térmicos - Departament de Màquines i Motors Tèrmics es_ES
dc.description.bibliographicCitation Oberlack, M.; Hoyas, S.; Kraheberger, SV.; Alcántara-Ávila, F.; Laux, J. (2022). Turbulence Statistics of Arbitrary Moments of Wall-Bounded Shear Flows: A Symmetry Approach. Physical Review Letters. 128(2):1-6. https://doi.org/10.1103/PhysRevLett.128.024502 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1103/PhysRevLett.128.024502 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 6 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 128 es_ES
dc.description.issue 2 es_ES
dc.identifier.pmid 35089743 es_ES
dc.relation.pasarela S\461923 es_ES
dc.contributor.funder GENERALITAT VALENCIANA es_ES
dc.contributor.funder Deutsche Forschungsgemeinschaft es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.subject.ods 09.- Desarrollar infraestructuras resilientes, promover la industrialización inclusiva y sostenible, y fomentar la innovación es_ES
upv.costeAPC 4400 es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem