Gatski, T. B.; Speziale, C. G. On explicit algebraic stress models for complex turbulent flows. (English) Zbl 0781.76052 J. Fluid Mech. 254, 59-78 (1993). Summary: Explicit algebraic stress models that are valid for three-dimensional turbulent flows in non-inertial frames are systematically derived from a hierarchy of second-order closure models. This represents a generalization of the model derived by S. B. Pope [J. Fluid Mech. 72, 331-340 (1975; Zbl 0315.76024)] who based his analysis on the Launder, Reece and Rodi model [B. E. Launder, G. J. Reece and W. Rodi, J. Fluid Mech. 68, 537-566 (1975; Zbl 0301.76030)] restricted to two-dimensional turbulent flows in an inertial frame. The relationship between the new models and traditional algebraic stress models – as well as anisotropic eddy viscosity models – is theoretically established. A need for regularization is demonstrated in an effort to explain why traditional algebraic stress models have failed in complex flows. It is also shown that these explicit algebraic stress models can shed new light on what second-order closure models predict for the equilibrium states of homogeneous turbulent flows and can serve as a useful alternative in practical computations. Cited in 4 ReviewsCited in 118 Documents MSC: 76F99 Turbulence 76F10 Shear flows and turbulence Keywords:three-dimensional turbulent flows; non-inertial frames; anisotropic eddy viscosity models; regularization; equilibrium states; homogeneous turbulent flows Citations:Zbl 0315.76024; Zbl 0301.76030 PDFBibTeX XMLCite \textit{T. B. Gatski} and \textit{C. G. Speziale}, J. Fluid Mech. 254, 59--78 (1993; Zbl 0781.76052) Full Text: DOI References: [1] Speziale, J. Fluid Mech. 209 pp 591– (1989) [2] Speziale, Phys. Fluids A 2 pp 1678– (1990) · Zbl 0708.76070 · doi:10.1063/1.857575 [3] DOI: 10.1146/annurev.fl.23.010191.000543 · doi:10.1146/annurev.fl.23.010191.000543 [4] Lumley, J. Fluid Mech. 41 pp 413– (1970) [5] DOI: 10.1016/0045-7825(74)90029-2 · Zbl 0277.76049 · doi:10.1016/0045-7825(74)90029-2 [6] Launder, J. Fluid Mech. 68 pp 537– (1975) [7] Johnston, J. Fluid Mech. 56 pp 533– (1972) [8] Gibson, J. Fluid Mech. 86 pp 491– (1978) [9] Demuren, J. Fluid Mech. 140 pp 189– (1984) [10] DOI: 10.1063/1.864780 · Zbl 0572.76048 · doi:10.1063/1.864780 [11] Yakhot, Phys. Fluids A 4 pp 1510– (1992) · Zbl 0762.76044 · doi:10.1063/1.858424 [12] Speziale, J. Fluid Mech. 178 pp 459– (1987) [13] Rubinstein, Phys. Fluids A 2 pp 1472– (1990) · Zbl 0709.76068 · doi:10.1063/1.857595 [14] Rosenau, Phys. Rev. A 40 pp 7193– (1989) · doi:10.1103/PhysRevA.40.7193 [15] Rodi, Z. angew. Math. Mech. 56 pp T219– (1976) [16] Rivlin, Q. Appl. Maths 15 pp 212– (1957) [17] Pope, J. Fluid Mech. 72 pp 331– (1975) [18] Lumley, Adv. Appl. Mech. 18 pp 123– (1978) [19] Tavoularis, J. Fluid Mech. 104 pp 311– (1981) [20] Taulbee, Phys. Fluids A 4 pp 2555– (1992) · Zbl 0762.76041 · doi:10.1063/1.858442 [21] Speziale, J. Fluid Mech. 227 pp 245– (1991) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.