On Coarse Grids Simulation of Compressible Mixing Layer Flows using Vorticity Confinement

[+] Author and Article Information
Kazem Hejranfar

Aerospace Engineering Department, Sharif University of Technology, Azadi Ave, Tehran, Iran

Mohammad Ebrahimi

Aerospace Research Institute, Ministry of Science, Research and Technology, Shahrak Gharb, Tehran, Iran

M. Sadri

Aerospace Research Institute, Ministry of Science, Research and Technology, Shahrak Gharb, Tehran, Iran

1Corresponding author.

ASME doi:10.1115/1.4037867 History: Received October 08, 2016; Revised September 02, 2017


In this work, the capability and performance of the vorticity confinement with the use of a high-order accurate numerical scheme in predicting two-dimensional compressible mixing layer flows are investigated. Here, the governing equations with incorporating the vorticity confinement formulation are solved by the fourth-order compact finite-difference scheme. To stabilize the numerical solution, a low-pass high-order filter is applied and the nonreflective boundary conditions are used for the farfield and outflow boundaries to minimize the reflections. At first, the numerical results without applying the vorticity confinement are validated by available direct numerical simulations (DNSs) for a low Reynolds number mixing layer. Then, the calculations using a range of vorticity confinement levels are performed for a higher Reynolds number mixing layer and the results are thoroughly compared with those of available large eddy simulations (LESs). The study shows that with applying the vortex identification method in the slow laminar region of the mixing layer accurate results are obtained. A sensitivity study is also performed to examine the effect of different numerical parameters to reasonably provide more accurate results. It is shown that the local vorticity confinement based on the diffusion coefficient and vorticity thickness introduced here can improve the accuracy of the results compared with those of LESs. It is found that the solution methodology proposed can reasonably preserve the vortices in the flowfield and the results are comparable with those of LESs on fairly coarser grids and thus the computational costs can be considerably decreased.

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