Development of a Continuous Model for Simulation of Turbulent Flows

The development of a continuous turbulence model that is suitable for representing both the subgrid scale stresses in large eddy simulation and the Reynolds stresses in the Reynolds averaged Navier-Stokes formulation is described. A recursion approach is used to bridge the length scale disparity from the cutoff wave number to those in the energy-containing range. The proposed model is analyzed in conjunction with direct numerical simulations of Kolmogorov flows.

[1]  Robert H. Kraichnan,et al.  An interpretation of the Yakhot–Orszag turbulence theory , 1987 .

[2]  S. Thangam,et al.  Development of a turbulence model based on the energy spectrum for flows involving rotation , 1999 .

[3]  R. Kraichnan Eddy Viscosity in Two and Three Dimensions , 1976 .

[4]  S. Thangam,et al.  Numerical study of turbulent secondary flows in curved ducts , 1990 .

[5]  P. Moin,et al.  A dynamic subgrid‐scale eddy viscosity model , 1990 .

[6]  J. Seiner,et al.  Grid-Size Dependence in the Large-Eddy Simulation of Kolmogorov Flow , 2000 .

[7]  R. Kraichnan Kolmogorov’s constant and local interactions , 1987 .

[8]  Charles G. Speziale,et al.  ANALYTICAL METHODS FOR THE DEVELOPMENT OF REYNOLDS-STRESS CLOSURES IN TURBULENCE , 1990 .

[9]  C. G. Speziale Turbulence modeling for time-dependent RANS and VLES : a review , 1998 .

[10]  Charles G. Speziale,et al.  A Combined Large-Eddy Simulation and Time-Dependent RANS Capability for High-Speed Compressible Flows , 1998, J. Sci. Comput..

[11]  T. Gatski,et al.  On explicit algebraic stress models for complex turbulent flows , 1992, Journal of Fluid Mechanics.

[12]  S. Orszag,et al.  Development of turbulence models for shear flows by a double expansion technique , 1992 .

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

[14]  Thangam,et al.  Development of a turbulence model based on recursion renormalization group theory. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[15]  S. Woodruff,et al.  KOLMOGOROV FLOW IN THREE DIMENSIONS , 1996 .

[16]  Vahala,et al.  Renormalization-group estimates of transport coefficients in the advection of a passive scalar by incompressible turbulence. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[17]  C. G. Speziale On nonlinear K-l and K-ε models of turbulence , 1987, Journal of Fluid Mechanics.

[18]  G. Vahala,et al.  Renormalization-group theory for the eddy viscosity in subgrid modeling. , 1988, Physical review. A, General physics.

[19]  M. Y. Hussaini On Large-Eddy Simulation of Compressible Flows , 1998 .

[20]  Steven A. Orszag,et al.  Numerical study of three-dimensional Kolmogorov flow at high Reynolds numbers , 1996, Journal of Fluid Mechanics.

[21]  Akira Yoshizawa,et al.  Statistical analysis of the deviation of the Reynolds stress from its eddy‐viscosity representation , 1984 .