Large-Eddy Simulation of Turbulent Anisochoric Flows

The objective of this study is to develop a large eddy simulation model for nonreacting as well as chemically reacting flows at high Reynolds numbers. This paper focuses on the large eddy simulation model applied to the nonreacting case and the evaluation of its predictive capabilities. Further, results from the large eddy simulations are used to investigate the large-scale structures present in unsteady wake flows. The large eddy simulation model contains subgrid-scale models for both cross and Reynolds quantities to account for both outscatter (i.e., transfer from small scales to larger scales) transfer between large scales and dissipation. To evaluate the large eddy simulation model, results from two- and three-dimensional large eddy simulations of nonreacting flow in a rectilinear channel with a triangular shaped bluff body are compared with experimental measurements and with results from two-dimensional simulations made with the k-e model and a differential Reynolds stress model. The investigations indicate that the results obtained with the large eddy simulation model is in good agreement with experimental data. Comparison of results obtained with the large eddy simulation model and results obtained with the k-e model and the differential Reynolds stress model clearly reveals the known weaknesses of the latter methods.

[1]  P. Gaskell,et al.  Curvature‐compensated convective transport: SMART, A new boundedness‐ preserving transport algorithm , 1988 .

[2]  Charles G. Speziale,et al.  Second-Order Closure Models for Supersonic Turbulent Flows , 1991 .

[3]  U. Schumann Ein Verfahren zur direkten numerischen Simulation turbulenter Strömungen in Platten- und Ringspaltkanälen und über seine Anwendung zur Untersuchung von Turbulenzmodellen , 1973 .

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

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

[6]  Bassam A. Younis,et al.  Calculation of swirling jets with a Reynolds stress closure , 1986 .

[7]  Wolfgang Rodi,et al.  On the Simulation of Turbulent Flow Past Bluff Bodies , 1993 .

[8]  Joel H. Ferziger,et al.  New approximate boundary conditions for large eddy simulations of wall-bounded flows , 1989 .

[9]  Stephen B. Pope,et al.  The statistical theory of turbulent flames , 1979, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[10]  P. Libby,et al.  Analysis of Turbulent Boundary Layers , 1974 .

[11]  J. Ferziger,et al.  Improved turbulence models based on large eddy simulation of homogeneous, incompressible, turbulent flows , 1983 .

[12]  W. Rodi,et al.  Calculation of Vortex Shedding Past a Square Cylinder with Various Turbulence Models , 1993 .

[13]  T. A. Zang,et al.  The subgrid‐scale modeling of compressible turbulence , 1987 .

[14]  D. Leslie,et al.  The application of turbulence theory to the formulation of subgrid modelling procedures , 1979, Journal of Fluid Mechanics.

[15]  Clifford Ambrose Truesdell,et al.  A first course in rational continuum mechanics , 1976 .

[16]  Bertil Gustafsson,et al.  Incompletely parabolic problems in fluid dynamics , 1978 .

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

[18]  P. Moin,et al.  Numerical investigation of turbulent channel flow , 1981, Journal of Fluid Mechanics.

[19]  T. A. Zang,et al.  Toward the large-eddy simulation of compressible turbulent flows , 1990, Journal of Fluid Mechanics.

[20]  A. Yoshizawa Subgrid‐scale modeling of compressible turbulent flows , 1991 .

[21]  O. Reynolds On the dynamical theory of incompressible viscous fluids and the determination of the criterion , 1995, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[22]  W. Jones,et al.  The prediction of laminarization with a two-equation model of turbulence , 1972 .

[23]  M. Boussinesq Essai sur la théorie des eaux courantes , 1873 .

[24]  T. A. Zang,et al.  Direct and large-eddy simulations of three-dimensional compressible Navier-Stokes turbulence , 1992 .

[25]  J. Deardorff,et al.  The Use of Subgrid Transport Equations in a Three-Dimensional Model of Atmospheric Turbulence , 1973 .

[26]  D. Spalding,et al.  A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows , 1972 .