Generation of Three-Dimensional Turbulent Inlet Conditions for Large-Eddy Simulation

A method for generating realistic (i.e., reproducing in space and time the large-scale coherence of the flows) inflow conditions based on two-point statistics and stochastic estimation is presented. The method is based on proper orthogonal decomposition and linear stochastic estimation. This method allows a realistic representation with a minimum of information to be stored. Most of the illustrations of this method are given for a plane turbulent mixing layer that contains most of the basic features of organized turbulent flows. Examples of the application of the method are given first for the generation of inflow conditions for direct numerical simulation (DNS) and for large-eddy simulation from experimental results. Second, DNS results are used to generate realistic inflow conditions for two- and three-dimensional DNS, retaining only a minimum size of relevant information.

[1]  Maurizio Quadrio,et al.  Initial response of a turbulent channel flow to spanwise oscillation of the walls , 2003 .

[2]  D. Rempfer,et al.  Investigations of boundary layer transition via Galerkin projections on empirical eigenfunctions , 1996 .

[3]  Chin-Hoh Moeng,et al.  LARGE EDDY SIMULATION , 2002 .

[4]  S. Lele Compact finite difference schemes with spectral-like resolution , 1992 .

[5]  Specification of Time-Dependent Inlet Boundary Conditions for LES, VLES, and DES of Turbulent Flow , 2005 .

[6]  Pierre Sagaut,et al.  Turbulent Inflow Conditions for Large-Eddy-Simulation of Compressible Wall-Bounded Flows , 2004 .

[7]  L. Sirovich Turbulence and the dynamics of coherent structures. I. Coherent structures , 1987 .

[8]  Fred R. Payne,et al.  Generalized Gram-Charlier method for curve- fitting statistical data , 1969 .

[9]  Joel Delville,et al.  Pressure velocity coupling in a subsonic round jet , 2000 .

[10]  Joseph H. Citriniti,et al.  Examination of a LSE/POD complementary technique using single and multi-time information in the axisymmetric shear layer , 1999 .

[11]  Jean-Paul Bonnet,et al.  Experimental 3D Analysis of the Large Scale Behaviour of a Plane Turbulent Mixing Layer , 2005 .

[12]  Ronald Adrian,et al.  On the role of conditional averages in turbulence theory. , 1975 .

[13]  T. Lund,et al.  Generation of Turbulent Inflow Data for Spatially-Developing Boundary Layer Simulations , 1998 .

[14]  Gal Berkooz,et al.  Proper orthogonal decomposition , 1996 .

[15]  Marcel Lesieur,et al.  Coherent-vortex dynamics in large-eddy simulations of turbulence , 2003 .

[16]  M. Lesieur,et al.  New Trends in Large-Eddy Simulations of Turbulence , 1996 .

[17]  R. Manceau,et al.  GENERATION OF TURBULENT INFLOW CONDITIONS FOR LARGE EDDY SIMULATION FROM STEREOSCOPIC PIV MEASUREMENTS , 2006, Proceeding of Fourth International Symposium on Turbulence and Shear Flow Phenomena.

[18]  P. Moin,et al.  Large-eddy simulation of turbulent confined coannular jets , 1996, Journal of Fluid Mechanics.

[19]  Wolfgang Rodi,et al.  Large eddy simulation of the turbulent boundary layer behind roughness elements using an artificially generated inflow , 1999 .

[20]  P. Moin,et al.  Direct numerical simulation of turbulent flow over a backward-facing step , 1997, Journal of Fluid Mechanics.

[21]  J. Lumley Stochastic tools in turbulence , 1970 .

[22]  Elias Balaras,et al.  Inflow conditions for large-eddy simulations of mixing layers , 1999 .

[23]  Jean-Paul Bonnet,et al.  Examination of large-scale structures in a turbulent plane mixing layer. Part 1. Proper orthogonal decomposition , 1999, Journal of Fluid Mechanics.

[24]  Kai Schneider,et al.  Coherent Vortex Simulation (CVS), A Semi-Deterministic Turbulence Model Using Wavelets , 2001 .

[25]  R. D. Moser,et al.  Final Report on Turbulence Measurements for LES Workshop , 2000 .

[26]  Hyung Jin Sung,et al.  Comparative study of inflow conditions for spatially evolving simulation , 1997 .

[27]  Philippe Druault Développement d'interfaces expérience/simulation : application à l'écoulement de couche de mélange plane turbulente , 1999 .

[28]  H. Fiedler Control of Free Turbulent Shear Flows , 1998 .

[29]  Lars Davidson,et al.  Role of Initial Conditions in Establishing Asymptotic Flow Behavior , 2003 .

[30]  DEVELOPMENT OF EXPERIMENT/SIMULATION INTERFACES FOR HYBRID TURBULENT RESULTS ANALYSIS VIA THE USE OF DNS , 1999 .

[31]  Jean-Paul Bonnet,et al.  Direct numerical simulation of a jet controlled by fluid injection , 2002 .

[32]  Jean-Paul Bonnet,et al.  Proper Orthogonal Decomposition of the mixing layer flow into coherent structures and turbulent Gaussian fluctuations , 2005 .

[33]  P. Moin,et al.  Simulation of spatially evolving turbulence and the applicability of Taylor's hypothesis in compressible flow , 1992 .

[34]  Mark N. Glauser,et al.  Stochastic estimation and proper orthogonal decomposition: Complementary techniques for identifying structure , 1994 .

[35]  Large Eddy Simulation of Turbulent Flow past a Backward Facing Step with a new Mixed Scale SGS Model , 1996 .

[36]  S. Lardeau,et al.  Numerical Investigations of Turbulent Inflow Condition Generation for LES , 2005 .

[37]  Nadine Aubry,et al.  The dynamics of coherent structures in the wall region of a turbulent boundary layer , 1988, Journal of Fluid Mechanics.