Abstract
This work focuses on the performance and validation of compressible turbulence models for the pressure-strain correlation. Considering the Launder Reece and Rodi (LRR) incompressible model for the pressure-strain correlation, Adumitroaie et al., Huang et al., and Marzougui et al., used different modeling approaches to develop turbulence models, taking into account compressibility effects for this term. Two numerical coefficients are dependent on the turbulent Mach number, and all of the remaining coefficients conserve the same values as in the original LRR model. The models do not correctly predict the compressible turbulence at a high-speed shear flow. So, the revision of these models is the major aim of this study. In the present work, the compressible model for the pressure-strain correlation developed by Khlifi−Lili, involving the turbulent Mach number, the gradient, and the convective Mach numbers, is used to modify the linear mean shear strain and the slow terms of the previous models. The models are tested in two compressible turbulent flows: homogeneous shear flow and the newly developed plane mixing layers. The predicted results of the proposed modifications of the Adumitroaie et al., Huang et al., and Marzougui et al., models and of its universal versions are compared with direct numerical simulation (DNS) and experiment data. The results show that the important parameters of compressibility in homogeneous shear flow and in the mixing layers are well predicted by the proposal models.
Highlights
Compressible turbulence modelling is an essential element for many industrial problems
It has been found in their direct numerical simulation (DNS) results that the structural compressibility effects affect the pressure field and the pressure-strain, which is recognized as the main factor responsible for the strong changes in the magnitude of the Reynolds stress anisotropies, and thereafter the reduced trend of the growth rate of the turbulent kinetic energy when the compressibility increases
Three independent compressible pressure-strain models, by Adumitroaie et al [11], Huang et al [12], and Marzougui et al [13], are considered in this study. These models are derived by considering different variable density extensions of the Launder et al Launder Reece and Rodi (LRR) model [14], which account for the compressibility effects by using the turbulent Mach number.It has been shown that these models may be able to reproduce low and moderate compressibility effects
Summary
Compressible turbulence modelling is an essential element for many industrial problems. Sarkar [3], Simone et al [4], and Hamba [5] developed DNS results and reached a similar conclusion concerning the role of the dilatational terms It has been found in their DNS results that the structural compressibility effects affect the pressure field and the pressure-strain, which is recognized as the main factor responsible for the strong changes in the magnitude of the Reynolds stress anisotropies, and thereafter the reduced trend of the growth rate of the turbulent kinetic energy when the compressibility increases. A revision ofthe models by Adumitroaie et al [11], Huang et al [12], and Marzougui et al [13] for pressure-strain is considered, making the model coefficients as a function of Mt, Mg, and Mc. The proposed models are tested in different compressible turbulent homogeneous shear flow and compressible mixing layers cases
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