Ullmann, Sebastian ; Löbig, Stefan ; Lang, Jens
Janicka, J. ; Sadiki, Amsini ; Schäfer, Michael ; Heeger, Christof (eds.) (2013):
Adaptive Large Eddy Simulation and Reduced-Order Modeling.
In: Fluid Mechanics and Its Applications, 102, In: Flow and Combustion in Advanced Gas Turbine Combustors, pp. 349-378, Dordrecht, Springer Netherlands, ISBN 978-94-007-5320-4,
DOI: 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. ; Sadiki, Amsini ; Schäfer, Michael ; Heeger, Christof |
| Creators: | Ullmann, Sebastian ; Löbig, Stefan ; 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. |
| Book Title: | Flow and Combustion in Advanced Gas Turbine Combustors |
| Series: | Fluid Mechanics and Its Applications |
| Series 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: | 10.1007/978-94-007-5320-4_12 |
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