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Rosteck, Andreas and Oberlack, Martin
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*New Statistical Symmetries of the Two-Point Correlation Equations for Turbulent Flows.*

In:
Progress in Turbulence.
Springer-Verlag

[Book Section]
, (2011)

## Abstract

We briefly introduce the two-point correlation equations based on the Navier-Stokes equations for an incompressible fluid. For this special case we determine the set of Lie symmetries, which can be calculated from the classical symmetries of the Navier-Stokes equations and further we present new symmetries, so called statistical symmetries. Finally we give examples where these symmetries can be used, e.g. for wall bounded turbulence and decaying turbulence scaling laws.

Item Type: | Book Section |
---|---|

Erschienen: | 2011 |

Creators: | Rosteck, Andreas and Oberlack, Martin |

Title: | New Statistical Symmetries of the Two-Point Correlation Equations for Turbulent Flows |

Language: | English |

Abstract: | We briefly introduce the two-point correlation equations based on the Navier-Stokes equations for an incompressible fluid. For this special case we determine the set of Lie symmetries, which can be calculated from the classical symmetries of the Navier-Stokes equations and further we present new symmetries, so called statistical symmetries. Finally we give examples where these symmetries can be used, e.g. for wall bounded turbulence and decaying turbulence scaling laws. |

Title of Book: | Progress in Turbulence |

Publisher: | Springer-Verlag |

Divisions: | 16 Department of Mechanical Engineering > Fluid Dynamics (fdy) 16 Department of Mechanical Engineering |

Date Deposited: | 01 Sep 2011 11:12 |

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