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Adaptive Large Eddy Simulation and Reduced-Order Modeling

Ullmann, Sebastian and Löbig, Stefan and Lang, Jens
Janicka, J. and Sadiki, Amsini and Schäfer, Michael and Heeger, Christof (eds.) (2013):
Adaptive Large Eddy Simulation and Reduced-Order Modeling.
In: Flow and Combustion in Advanced Gas Turbine Combustors, Dordrecht, Springer Netherlands, pp. 349-378, DOI: 10.1007/978-94-007-5320-4₁₂, [Online-Edition: https://doi.org/10.1007/978-94-007-5320-4_12],
[Book Section]

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.

Item Type: Book Section
Erschienen: 2013
Editors: Janicka, J. and Sadiki, Amsini and Schäfer, Michael and Heeger, Christof
Creators: Ullmann, Sebastian and Löbig, Stefan and Lang, Jens
Title: Adaptive Large Eddy Simulation and Reduced-Order Modeling
Language: English
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.

Title of Book: Flow and Combustion in Advanced Gas Turbine Combustors
Series Name: Fluid Mechanics and Its Applications
Volume: 102
Place of Publication: Dordrecht
Publisher: Springer Netherlands
ISBN: 978-94-007-5320-4
Divisions: Exzellenzinitiative
Exzellenzinitiative > Clusters of Excellence
Exzellenzinitiative > Graduate Schools
Exzellenzinitiative > Graduate Schools > Graduate School of Computational Engineering (CE)
04 Department of Mathematics
04 Department of Mathematics > Numerical Analysis and Scientific Computing
04 Department of Mathematics > Numerical Analysis and Scientific Computing > Large-Eddy Simulation with Adaptive Grids for Meteorological Applications
04 Department of Mathematics > Numerical Analysis and Scientific Computing > Model Reduction for Large-Eddy Simulation
Exzellenzinitiative > Clusters of Excellence > Center of Smart Interfaces (CSI)
Event Location: Dordrecht
Date Deposited: 04 Oct 2017 07:29
DOI: 10.1007/978-94-007-5320-4₁₂
Official URL: https://doi.org/10.1007/978-94-007-5320-4_12
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