Symmetry-preserving regularization of turbulent channel flow

Roel Verstappen*

*Corresponding author for this work

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Abstract

We propose to regularize the convective term in the Navier-Stokes equations in such a manner that the symmetries that correspond to the invariance of the energy, the enstrophy (in 2D) and helicity are preserved. The underlying idea is to restrain the convective production of smaller and smaller scales of motion by means of vortex stretching in an unconditional stable manner, meaning that the solution can not blow up (in the energy-norm). The numerical algorithm used to solve the governing equations preserves the symmetry properties too. The simulation shortcut is successfully tested for a turbulent channel flow (Re-tau = 180).

Original languageEnglish
Title of host publicationDirect and Large-Eddy Simulation VI
EditorsE Lamballais, R Friedrich, BJ Geurts, O Metais
Place of PublicationDORDRECHT
PublisherSpringer
Pages143-150
Number of pages8
ISBN (Print)1-4020-4909-9
Publication statusPublished - 2006
Event6th International ERCOFTAC Workshop on Direct and Large-Eddy Simulation - , France
Duration: 12-Sept-200514-Sept-2005

Publication series

NameERCOFTAC SERIES (EUROPEAN RESEARCH COMMUNITY ON FLOW, TURBULENCE AND COMBUSTION)
PublisherSPRINGER
Volume10

Other

Other6th International ERCOFTAC Workshop on Direct and Large-Eddy Simulation
Country/TerritoryFrance
Period12/09/200514/09/2005

Keywords

  • ALPHA MODEL
  • EQUATIONS
  • FLUID

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