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On Scale-Resolving Simulation of Turbulent Flows Using Higher-Accuracy Quasi-1D Schemes on Unstructured Meshes

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Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 137))

Abstract

The paper is focused on the scale-resolving simulation of turbulent flow using quasi-1D schemes on unstructured meshes. The numerical algorithm is based on the Edge-Based Reconstruction (EBR) scheme possessing higher accuracy and moderate computational costs on unstructured meshes. We discuss issues related to the application of low-dissipative version of EBR scheme for the scale-resolving simulation on anisotropic meshes. Some techniques which improve the scheme robustness are proposed. The feasibility of the developed numerical algorithm is demonstrated on the two cases. The first problem is immersed subsonic unheated round jet, \(\mathrm{{M}}_{jet}=0.9\), \(\mathrm{{Re}}_D=1.1\times 10^6\). The second one is turbulent flow over M219 cavity \(\mathrm {M}_\infty =0.85\), \(\mathrm{{Re}}_H=1.37\times 10^6\). The results are in a good agreement both in aerodynamic and acoustic characteristics with the corresponding experimental data. The computations show a strong sensitivity of the results of scale-resolving simulations to the numerical scheme in use and confirm a need in its careful adjustment.

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Notes

  1. 1.

    Instead of the Roe scheme, some other Riemann solvers can be used.

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Acknowledgements

The research is supported by Russian Science Foundation. The implementation of the DES approach [18] on unstructured meshes and the computations are performed within Project 14-11-00060. The development of adapting higher-accuracy algorithms is a part of Project 16-11-10350. The computations were carried out using “Lomonosov” (MSU) and “10P” (JSCC RAS) supercomputers.

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Correspondence to Alexey Duben .

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Duben, A., Kozubskaya, T. (2018). On Scale-Resolving Simulation of Turbulent Flows Using Higher-Accuracy Quasi-1D Schemes on Unstructured Meshes. In: Hoarau, Y., Peng, SH., Schwamborn, D., Revell, A. (eds) Progress in Hybrid RANS-LES Modelling. HRLM 2016. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 137. Springer, Cham. https://doi.org/10.1007/978-3-319-70031-1_14

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  • DOI: https://doi.org/10.1007/978-3-319-70031-1_14

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