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Adaptive Large Eddy Simulation and Reduced-Order Modeling

Ullmann, Sebastian ; Löbig, Stefan ; Lang, Jens
Hrsg.: Janicka, J. ; Sadiki, Amsini ; Schäfer, Michael ; Heeger, Christof (2013)
Adaptive Large Eddy Simulation and Reduced-Order Modeling.
In: Flow and Combustion in Advanced Gas Turbine Combustors
doi: 10.1007/978-94-007-5320-4_12
Buchkapitel, Bibliographie

Kurzbeschreibung (Abstract)

The quality of large eddy simulations can be substantially improved through optimizing the positions of the grid points. LES-specific spatial coordinates are computed using a dynamic mesh moving PDE defined by means of physically motivated design criteria such as equidistributed resolution of turbulent kinetic energy and shear stresses. This moving mesh approach is applied to a three-dimensional flow over periodic hills at Re=10,595 and the numerical results are compared to a highly resolved LES reference solution. Further, the applicability of reduced-order techniques to the context of large eddy simulations is explored. A Galerkin projection of the incompressible Navier--Stokes equations with Smagorinsky sub-grid filtering on a set of reduced basis functions is used to obtain a reduced-order model that contains the dynamics of the LES. As an alternative method, a reduced-order model of the un-filtered equations is calibrated to a set of LES solutions. Both approaches are tested with POD and CVT modes as underlying reduced basis functions.

Typ des Eintrags: Buchkapitel
Erschienen: 2013
Herausgeber: Janicka, J. ; Sadiki, Amsini ; Schäfer, Michael ; Heeger, Christof
Autor(en): Ullmann, Sebastian ; Löbig, Stefan ; Lang, Jens
Art des Eintrags: Bibliographie
Titel: Adaptive Large Eddy Simulation and Reduced-Order Modeling
Sprache: Englisch
Publikationsjahr: 2013
Ort: Dordrecht
Verlag: Springer Netherlands
Buchtitel: Flow and Combustion in Advanced Gas Turbine Combustors
Reihe: Fluid Mechanics and Its Applications
Band einer Reihe: 102
Veranstaltungsort: Dordrecht
DOI: 10.1007/978-94-007-5320-4_12
Kurzbeschreibung (Abstract):

The quality of large eddy simulations can be substantially improved through optimizing the positions of the grid points. LES-specific spatial coordinates are computed using a dynamic mesh moving PDE defined by means of physically motivated design criteria such as equidistributed resolution of turbulent kinetic energy and shear stresses. This moving mesh approach is applied to a three-dimensional flow over periodic hills at Re=10,595 and the numerical results are compared to a highly resolved LES reference solution. Further, the applicability of reduced-order techniques to the context of large eddy simulations is explored. A Galerkin projection of the incompressible Navier--Stokes equations with Smagorinsky sub-grid filtering on a set of reduced basis functions is used to obtain a reduced-order model that contains the dynamics of the LES. As an alternative method, a reduced-order model of the un-filtered equations is calibrated to a set of LES solutions. Both approaches are tested with POD and CVT modes as underlying reduced basis functions.

Fachbereich(e)/-gebiet(e): Exzellenzinitiative
Exzellenzinitiative > Exzellenzcluster
Exzellenzinitiative > Graduiertenschulen
Exzellenzinitiative > Graduiertenschulen > Graduate School of Computational Engineering (CE)
04 Fachbereich Mathematik
04 Fachbereich Mathematik > Numerik und wissenschaftliches Rechnen
04 Fachbereich Mathematik > Numerik und wissenschaftliches Rechnen > Large-Eddy Simulation with Adaptive Grids for Meteorological Applications
04 Fachbereich Mathematik > Numerik und wissenschaftliches Rechnen > Model Reduction for Large-Eddy Simulation
Exzellenzinitiative > Exzellenzcluster > Center of Smart Interfaces (CSI)
Hinterlegungsdatum: 04 Okt 2017 07:29
Letzte Änderung: 20 Apr 2023 07:32
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