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.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsNotes
- 1.
Instead of the Roe scheme, some other Riemann solvers can be used.
References
Abalakin, I.V., Bakhvalov, P.A., Kozubskaya, T.K.: Edge-based reconstruction schemes for pre-diction of near field flow region in complex aeroacoustic problems. Int. J. Aeroacoust. 13(3–4), 207–234 (2014)
Abalakin, I.V., Bakhvalov, P.A., Kozubskaya, T.K.: Edge-based reconstruction schemes for unstructured tetrahedral meshes. Int. J. Num. Methods Fluids (2015). https://doi.org/10.1002/fld.4187
Abalakin, I.V., Bakhvalov, P.A., Gorobets, A.V., Duben, A.P., Kozubskaya T.K.: Parallel research code NOISEtte for large-scale computations of aerodynamics and aero-acoustics problems. Vychisl. Metody Programm. 13(3), 110–125 (2012)
Arakeri, V.H., Krothapalli, A., Siddavaram, V, Alkislar, M.B., Lourenco, L.M.: On the use of microjets to suppress turbulence in a Mach 0.9 axisymmetric jet. J. Fluid. Mech. (2003). https://doi.org/10.1017/S0022112003005202
Bridges, J., Wernet, M.P.: Establishing consensus turbulence statistics for hot subsonic jets. AIAA Paper, AIAA 2010–3751 (2010)
Dankov, B.N., Duben, A.P., Kozubskaya, T.K.: Numerical modeling of the self-oscillation onset near a three-dimensional backward-facing step in a transonic flow. Fluid Dyn. (2016). https://doi.org/10.1134/S001546281604013X
Duben, A.P.: Computational technologies for simulation of complex near-wall turbulent flows using unstructured meshes. Math. Model Comput. Simul. 6(2), 162–171 (2014)
Ffowcs Williams, J.E., Hawkings, D.L.: Sound generated by turbulence and surfaces in unsteady motion. Philos. Trans. R. Soc. A A264(1151), 321–342 (1969)
de Henshaw, M.J.C.: M219 cavity case: verification and validation data for computational unsteady aerodynamics. Technical Report RTO-TR-26, AC/323(AVT)TP/19, pp. 453–472. QinetiQ, UK (2002)
Lau, J.C., Morris, P.J., Fisher, M.J.: Measurements in subsonic and supersonic free jets using a laser velocimeter. J. Fluid Mech. (1979). https://doi.org/10.1017/S0022112079001750
Lau, J.C.: Effects of exit Mach number and temperature on mean-flow and turbulence characteristics in round jets. J. Fluid Mech. (1981). https://doi.org/10.1017/S0022112081003170
Peng, S.-H.: M219 Cavity flow. In: Haase, W., Braza, M., Revell, A. (eds.) DESider—A European Effort on Hybrid RANS-LES Modelling, pp. 270–285. Springer (2009)
Roe, L.: Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comput. Phys. 43, 357–372 (1981)
Simonich, J.C., Narayanan, S., Barber, T.J., Nishimura, M.: Aeroacoustic characterization, noise reduction and dimensional scaling effects of high subsonic jets. AIAA J. (2001). https://doi.org/10.2514/2.1228
Shur, M.L., Strelets, M.Kh., Spalart, P.R., Travin A.: Physical and numerical upgrades in the detached-eddy simulation of complex turbulent flows. In: Friederich, R., Rodi, W. (eds.) Advances in LES of Complex Flows, Fluid Mechanics and its Applications, vol. 65, pp. 239–254. Kluwer Academic Publishers (2004)
Shur, M.L., Spalart, P.S., Strelets, M.Kh.: Noise prediction for increasingly complex jets, Part I: Methods and tests. Int. J. Aeroacoust. 4(3+4), 213–246 (2005)
Shur, M., Spalart, P.R., Strelets, M.: LES-based evaluation of a microjet noise reduction concept in static and flight conditions. J. Sound Vib. 330, 4083–4097 (2011)
Shur, M.L., Spalart, P.R., Strelets, M.Kh., Travin, A.K.: An enhanced version of DES with rapid transition from RANS to LES in separated flows. Flow Turbul. Combust. 95(4), 709–737 (2015)
Shur, M., Spalart, P.R., Strelets, M.: Jet noise computation based on enhanced DES formulations accelerating the RANS-to-LES transition in free shear layers. Int. J. Aeroacoust. (2016). https://doi.org/10.1177/1475472X16659388
Viswanathan, K.: Aeroacoustics of hot jets. J. Fluid Mech. (2004). https://doi.org/10.1017/S0022112004000151
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.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-70031-1_14
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-70030-4
Online ISBN: 978-3-319-70031-1
eBook Packages: EngineeringEngineering (R0)