By J. C. Wyngard, C.-H. Moeng, J. C. Weil (auth.), Thomas B. Gatski, Charles G. Speziale, Sutanu Sarkar (eds.)

This booklet includes contributions by means of former scholars, colleagues and neighbors of Professor John L. Lumley, at the social gathering of his sixtieth birthday, in reputation of his huge, immense influence at the development of turbulence study. numerous experimental, computational and theoretical subject matters, together with turbulence modeling, direct numerical simulations, compressible turbulence, turbulent shear flows, coherent buildings and the right kind Orthogonal Decomposition are contained herein. the range and scope of those contributions are extra acknowledgment of John Lumley's broad ranging impact within the box of turbulence. the big variety of contributions via the authors, a lot of whom have been contributors within the Lumley Symposium: contemporary advancements in Turbulence (held at ICASE, NASA Langley examine heart on November 12 & thirteen, 1990), has offered us with the original opportu nity to pick a number of numerical and theoretical papers for inclusion within the magazine Theoretical and Computational Fluid Dynamics for which Professor Lumley serves as Editor. prolonged Abstracts of those pa pers are integrated during this quantity and are competently marked. The targeted factor of TCFD will look this 12 months and may function an extra tribute to John Lumley. As is generally the case, the efforts of others have considerably eased our initiatives. we wish to specific our deep appreciation to Drs. R.

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Ft· (5) Hence such an approximation automatically leads to the gradient transport assumption (2) supplemented by the similar relations for the concentration-temperature correlation So. Second-order models leading to equations (5) are often called the algebraic j1:uz models since the turbulent fluxes Si, i = 1,2,3, are determined here by simple algebraic (not differential) equations. The most widely used algebraic flux models are the so-called local equilibrium models, where the left-hand parts of (3) and (4) (describing the time evolution, advection and turbulent transfer of the second-order moments) are neglected.

One possibility would be to add modeled terms of p fl and Pf2 • p fl can be expressed as -EijUi,j, where Eij is the dissipation rate of the Reynolds- stress component uiuj; this term is therefore closely related to E2 / k x P / E and hence effectively increases the value of the coefficient Gfl in (9), depending on Modeling the Dissipation-Rate Equation 29 PIE. With such modeling of p f l , and similar one for Pf2 , the sink term would have to be cranked up drastically in order to account for the adjustment of T due to the extra production by p f l and Pf2 .

As an alternative, the suggestion is therefore made here to model the influence of the combined effect of p fl and Pf2 and T, which is to increase somewhat the sink term in the E- equation. First the time-scale ratio R seemed to be a suitable parameter as it governs the relative importance of the terms p f l and Pf2 , but it was found not to correlate too well. The close relation of p(l to the ratio of production to dissipation, PIE, suggests that this ratio is an important parameter and was therefore taken to replace the strain-rate parameter kSIE in (8).