A time and space correlated turbulence synthesis method for Large Eddy Simulations

Hugo G. Castro*, Rodrigo R. Paz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

67 Scopus citations

Abstract

In the present work the problem of generating synthesized turbulence at inflow boundaries of the simulation domain is addressed in the context of the Large Eddy Simulation (LES) method. To represent adequately certain statistical properties of a turbulent process, we propose a synthesized turbulence method which is based on previous works (Huang et al., 2010; Smirnov et al., 2001) [15,28]. For this purpose, time and space correlations are introduced strictly in the mathematical formulation of the synthetic turbulence inflow data. It is demonstrated that the proposed approach inherits the properties of the methods on which it is based while presents some particular advantages as well. The strategy of imposing conditions on the inlet velocity field through turbulence synthesis is implemented in the parallel multiphysics code called PETSc-FEM (http://www.cimec.org.ar/petscfem) primarily targeted to calculations throughout finite elements on general unstructured 2D and 3D grids. We present several numerical tests in order to validate and evaluate the method describing the dynamic phenomena that take place in "real-life" problems, such as a swirling turbulent flow inside a diffuser and the airflow around a vehicle model inside a wind tunnel at high Reynolds number.

Original languageEnglish (US)
Pages (from-to)742-763
Number of pages22
JournalJournal of Computational Physics
Volume235
DOIs
StatePublished - Feb 5 2013

Bibliographical note

Funding Information:
This work has received financial support from Consejo Nacional de Investigaciones Cientı´ficas y Técnicas ( CONICET , Argentina, Grant PIP 5271/05 ), Universidad Nacional del Litoral ( UNL , Argentina, Grant CAI+D 2009 65/334 ), Agencia Nacional de Promoción Cientı´fica y Tecnológica ( ANPCyT , Argentina, Grants PICT 2492/2010 , PICT 01141/2007 , PICT 0270/2008 , PICT-1506/2006 ), Universidad Tecnológica Nacional, Facultad Regional Resistencia ( UTN FRRe , Argentina, Grant PID 2012 25/L057 ).

Keywords

  • Inlet boundary conditions
  • LES method
  • Navier-Stokes equations
  • Turbulence synthesis

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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