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**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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