Influence of different subgrid-scale models in low-order LES of supersonic jet flows

TL;DR

This study investigates how different subgrid-scale models influence the accuracy of low-order LES simulations of unsteady supersonic jet flows, highlighting the importance of numerical discretization effects.

Contribution

It provides a detailed comparison of classical, dynamic Smagorinsky, and Vreman models in low-order LES of supersonic jets, emphasizing discretization effects.

Findings

Numerical discretization impacts LES results as much as subgrid models.

Different subgrid models show varying performance in simulating jet mixing.

Validation against literature data confirms the importance of discretization choices.

Abstract

The present work is concerned with a study of large eddy simulations (LES) of unsteady turbulent jet flows. In particular, the present analysis is focused on the effects of the subgrid-scale modeling used when a second-order spatial discretization methodology is employed for the numerical simulations. The present effort addresses perfectly expanded supersonic jets, because the authors want to emphasize the effects of the jet mixing phenomena. The LES formulation is discretized using the finite difference approach, after the equations are rewritten in a generalized coordinate system. Both space and time discretizations are second-order accurate and an explicit time march is adopted. Special care is dedicated to the discretization of the energy equation to appropriately model the set of filtered equations appearing in the LES formulation. The classical Smagorinsky, the dynamic Smagorinsky and the Vreman models are the subgrid-scale closures selected for the present work. The computational results are compared to data in the literature to validate the present simulation tool. Results indicate that the characteristics of numerical discretization can be as important as the effects of the subgrid-scale models for such low-order spatial discretization schemes. A detailed analysis is presented for the performance of each subgrid closure in the numerical context here considered.