A mixed one-equation subgrid model for large-eddy simulation

A new mixed one-equation subgrid-scale (SGS) model for large-eddy simulation is presented. The scale-similarity part of the model is used for the description of the local energy transport (Domaradzki et al., 1993, 1994), i.e. the energy transport between scales very close to the cut-off. The eddy-viscosity part of the model represents the non-local transfer of energy, i.e. the transfer between all scales smaller than grid-filter size Delta and larger than Delta. A priori tests done by Bardina et al. (1980) have shown a high correlation between the scale-similarity model and the exact SGS stress, tau(ij). The magnitude of the scale-similarity part in the mixed one-equation SGS model is either larger than or equal to that of the eddy-viscosity part. The modeled SGS stress is thus expected to correlate well with the exact stress, tau(jj). In the proposed model, the SGS kinetic energy, k(sgs), is used to obtain the velocity scale for the eddy-viscosity part of the model. The modeled k(sgs) equation is derived and contains some additional scale-similarity parts as compared with the k(sgs) equation used in the models of Ghosal et al. (1995) or Davidson (1997). It has been shown that the model is Galilean invariant and realizable. Moreover, the approximately correct near-wall behavior of the model has been proven. The model was tested for both channel flow and the case of a surface-mounted cube (Martinuzzi and Tropea, 1993). It was found that the model gives accurate results in both cases.

[1]  D. Lilly,et al.  A proposed modification of the Germano subgrid‐scale closure method , 1992 .

[2]  S. Sarkar,et al.  Large eddy simulation of a plane jet , 1999 .

[3]  P. Moin,et al.  The basic equations for the large eddy simulation of turbulent flows in complex geometry , 1995 .

[4]  L. Davidson,et al.  Large Eddy Simulation of Flow Past a Square Cylinder: Comparison of Different Subgrid Scale Models , 2000 .

[5]  Wei Liu,et al.  An analysis of subgrid-scale interactions in numerically simulated isotropic turbulence , 1993 .

[6]  M. Germano.  A proposal for a redefinition of the turbulent stresses in the filtered Navier–Stokes equations , 1986 .

[7]  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.

[8]  S. Menon,et al.  High Reynolds number flow simulations using the localized dynamic subgrid-scale model , 1996 .

[9]  C. Meneveau,et al.  On the properties of similarity subgrid-scale models as deduced from measurements in a turbulent jet , 1994, Journal of Fluid Mechanics.

[10]  C. Tropea,et al.  The Flow Around Surface-Mounted, Prismatic Obstacles Placed in a Fully Developed Channel Flow (Data Bank Contribution) , 1993 .

[11]  B. Geurts,et al.  Realizability conditions for the turbulent stress tensor in large-eddy simulation , 1994, Journal of Fluid Mechanics.

[12]  Peter Emvin.  The Full Multigrid Method Applied to Turbulent Flow in Ventilated Enclosures Using Structured and Unstructured Grids , 1997 .

[13]  P. Moin,et al.  Model consistency in large eddy simulation of turbulent channel flows , 1988 .

[14]  Elias Balaras,et al.  Scale-Similar Models for Large-Eddy Simulations , 1999 .

[15]  J. Koseff,et al.  A dynamic mixed subgrid‐scale model and its application to turbulent recirculating flows , 1993 .

[16]  C. Fureby,et al.  Mathematical and Physical Constraints on Large-Eddy Simulations , 1997 .

[17]  C. Rhie,et al.  Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation , 1983 .

[18]  S. Ghosal.  Mathematical and Physical Constraints on Large-Eddy Simulation of Turbulence , 1999 .

[19]  C. G. Speziale.  Galilean invariance of subgrid-scale stress models in the large-eddy simulation of turbulence , 1985, Journal of Fluid Mechanics.

[20]  Sinisa Krajnovic,et al.  LARGE-EDDY SIMULATION OF THE FLOW AROUND A SURFACE-MOUNTED CUBE USING A DYNAMIC ONE-EQUATION SUBGRID MODEL , 1999 .

[21]  C. Norberg,et al.  Erratum: “Large Eddy Simulation of Flow Past a Square Cylinder: Comparison of Different Subgrid Scale Models” [ASME J. Fluids Eng., 122, No. 1, pp. 39–47] , 2000 .

[22]  Wei Liu,et al.  Energy transfer in numerically simulated wall‐bounded turbulent flows , 1994 .

[23]  P. Moin,et al.  Turbulence statistics in fully developed channel flow at low Reynolds number , 1987, Journal of Fluid Mechanics.

[24]  C. Meneveau,et al.  Scale-Invariance and Turbulence Models for Large-Eddy Simulation , 2000 .

[25]  W. Rodi.  A new algebraic relation for calculating the Reynolds stresses , 1976 .

[26]  B. Geurts,et al.  On the formulation of the dynamic mixed subgrid-scale model , 1994 .

[27]  Parviz Moin,et al.  On the representation of backscatter in dynamic localization models , 1995 .

[28]  Sinisa Krajnovic,et al.  Large Eddy Simulation of the Flow Around a Three-Dimensional Bluff Body , 2001 .

[29]  Lars Davidson,et al.  Large-Eddy Simulation of the Flow Around a Surface-Mounted Cube Using a Dynamic One-Equation Subgrid Mode , 1999 .

[30]  J. Ferziger,et al.  Improved subgrid-scale models for large-eddy simulation , 1980 .

[31]  P. Moin,et al.  A dynamic localization model for large-eddy simulation of turbulent flows , 1995, Journal of Fluid Mechanics.