Numerical studies towards practical large-eddy simulation

Large-eddy simulation developments and validations are presented for an improved simulation of turbulent internal flows. Numerical methods are proposed according to two competing criteria: numerical qualities (precision and spectral characteristics), and adaptability to complex configurations. First, methods are tested on academic test-cases, in order to abridge with fundamental studies. Consistent results are obtained using adaptable finite volume method, with higher order advection fluxes, implicit grid filtering and “low-cost” shear-improved Smagorinsky model. This analysis particularly focuses on mean flow, fluctuations, two-point correlations and spectra. Moreover, it is shown that exponential averaging is a promising tool for LES implementation in complex geometry with deterministic unsteadiness. Finally, adaptability of the method is demonstrated by application to a configuration representative of blade-tip clearance flow in a turbomachine.

[1]  U. Piomelli,et al.  Large-Eddy Simulation of Transition to Turbulence in Boundary Layers , 1997 .

[2]  Christophe Bailly,et al.  Computation of a high Reynolds number jet and its radiated noise using large eddy simulation based on explicit filtering , 2006 .

[3]  Wolfgang Rodi,et al.  Large-Eddy Simulations of the Flow past Bluff Bodies: State-of-the Art. , 1998 .

[4]  Jérôme Boudet,et al.  Wake-Airfoil Interaction as Broadband Noise Source: A Large-Eddy Simulation Study , 2005 .

[5]  Pierre Sagaut,et al.  Filtered subgrid-scale models , 2000 .

[6]  C. Meneveau,et al.  Decaying turbulence in an active-grid-generated flow and comparisons with large-eddy simulation , 2003, Journal of Fluid Mechanics.

[7]  P. Sagaut,et al.  High-Resolution Large-Eddy Simulation of Flow Around Low-Pressure Turbine Blade , 2003 .

[8]  Caskey,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS I . THE BASIC EXPERIMENT , 1962 .

[9]  G.,et al.  TOWARD THE LARGE-EDDY SIMULATION OF COMPRESSIBLE TURBULENT FLOWS , 2022 .

[10]  S. Corrsin,et al.  Simple Eulerian time correlation of full-and narrow-band velocity signals in grid-generated, ‘isotropic’ turbulence , 1971, Journal of Fluid Mechanics.

[11]  Lévêque,et al.  Shear effects in nonhomogeneous turbulence , 2000, Physical review letters.

[12]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .

[13]  J. Deardorff A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers , 1970, Journal of Fluid Mechanics.

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

[15]  F. Toschi,et al.  Shear-improved Smagorinsky model for large-eddy simulation of wall-bounded turbulent flows , 2006, Journal of Fluid Mechanics.

[16]  Joseph Mathew,et al.  An explicit filtering method for large eddy simulation of compressible flows , 2003 .

[17]  Christophe Bailly,et al.  Decrease of the Effective Reynolds Number with Eddy-Viscosity Subgrid-Scale Modeling , 2005 .

[18]  S. Pope Turbulent Flows: FUNDAMENTALS , 2000 .

[19]  Roberto Camussi,et al.  Tip Leakage Experiment - Part One: Aerodynamic And Acoustic Measurements , 2007 .

[20]  G. Kalitzin,et al.  Large-scale integrated LES-RANS simulations of a gas turbine engine , 2022 .

[21]  John Kim,et al.  DIRECT NUMERICAL SIMULATION OF TURBULENT CHANNEL FLOWS UP TO RE=590 , 1999 .

[22]  P. Sagaut Large Eddy Simulation for Incompressible Flows , 2001 .