Abstract
The role of turbulence models in engineering codes is to provide the turbulent (Reynolds) stresses for the mean momentum equations. The Reynolds stresses themselves are seldom of any other use and this motivates the desire to minimize computational resources devoted to their computation. Economy in predictive efforts has another side of course, and that is the ability to compute reliably as many diverse flow regimes as possible without the need to modify the model in the engineering code. The choice of the appropriate level of sophistication in turbulence modeling is then one of a balance between minimizing computational effort per specific application on one hand, and maximizing reliability of results while minimizing code modifications on the other.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Arnold, L., (1974) Stochastic Differential Equations. John Wiley and Sons.
Bardina, J. Ferziger, J. H., & Reynolds, W. C. (1983) Improved turbulence models based on large eddy simulation of homogeneous, incompressible, turbulent flows. Report TF-19, Thermosciences Division, Department of Mechanical Engineering, Stanford University.
Blaisdell, G. A. & Shariff, K. (1994) Homogeneous turbulence subjected to mean flow with elliptic streamlines. Center for Turbulence Research: Proceedings of the 1994 Summer Program.
Blaisdell, G. A. & Shariff, K. (1996) Simulation and modeling of the elliptic streamline flow. Center for Turbulence Research: Proceedings of the 1996 Summer Program.
Choi, Kwing-So. (1983) A study of the return to isotropy of homogeneous turbulence, Technical Report, Sibley school of Mechanical and Aerospace Engineering, Cornell University, New York.
Durbin, P. A. & Speziale, C. G. (1994) Realizability of second-moment closures via stochastic analysis, J. Fluid Mech., 280, pp. 395–407.
Jeffreys, H. (1931) Cartesian tensors, Cambridge University Press.
Lee, M. J. & Reynolds, W. C. (1985) Numerical experiments on the structure of homogeneous turbulence”. Report TF-24, Thermosciences Division, Department of Mechanical Engineering, Stanford University.
Mahoney, J. F. (1985) Tensor and Isotropic Tensor Identities, The Matrix and Tensor Quarterly, 34(5), pp. 85–91.
Mansour N. N., Shih, T.-H., & Reynolds, W. C. (1991) The effects of rotation on initially anisotropic homogeneous flows, Phys. Fluids, A 3, pp. 2421–2425.
Kassinos, S. C. and Reynolds, W. C. (1994) A structure-based model for the rapid distortion of homogeneous turbulence. Report TF-61, Thermosciences Division, Department of Mechanical Engineering, Stanford University.
Kassinos, S. C. and Reynolds, W. C. (1995) An extended structure-based model based on a stochastic eddy-axis evolution equation. Annual Research Briefs 1995, Center for Turbulence Research, NASA Ames/Stanford Univ.
Pope, S. B. (1994) On the relationship between stochastic Lagrangian models of turbulence and second-moment closures, Phys. Fluids, 6, pp. 973–985.
Reynolds, W. C. and Kassinos, S. C. (1995) A one-point model for the evolution of the Reynolds stress and structure tensors in rapidly deformed homogeneous turbulence, Proc. Roy. Soc. London A, 451(1941):87–104.
Rogers M. M., Moin, P. (1987) The structure of the vorticity field in homogeneous turbulent flows, J. Fluid. Mech., 176, pp. 33–66.
Speziale C. G., Sarkar, S., & Gatski, T. B. (1991) Modelling the pressure-strain correlation of turbulence: an invariant dynamical systems approach, J. Fluid. Mech., 227, pp 245–272.
Speziale C. G., and Mac Giolla Mhuiris, N. (1989) On the prediction of equilibrium states in homogeneous turbulence, J. Fluid Mech., 209, pp. 591–615.
Speziale, C. G. 1985 Modeling the pressure-velocity correlation of turbulence, Phys. Fluids, 28(8), 69–71.
Speziale, C. G. (1981) Some interesting properties of two-dimensional turbulence, Phys. Fluids, 24(8), 1425–1427.
Tavoularis, S. & Karnik, U. (1989) Further experiments on the evolution of turbulent stresses and scales in uniformly sheared turbulence, J. Fluid. Mech., 204, pp. 457–478.
Vanslooten, P. R. & Pope, S. B., (1997) Pdf modeling for inhomogeneous turbulence with exact representation of rapid distortions, Phys. of Fluids, 9(4), pp. 1085–1105.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Kassinos, S.C., Reynolds, W.C. (1999). Developments in Structure-Based Turbulence Modeling. In: Salas, M.D., Hefner, J.N., Sakell, L. (eds) Modeling Complex Turbulent Flows. ICASE/LaRC Interdisciplinary Series in Science and Engineering, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4724-8_6
Download citation
DOI: https://doi.org/10.1007/978-94-011-4724-8_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5986-2
Online ISBN: 978-94-011-4724-8
eBook Packages: Springer Book Archive