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Nonlinear Subgrid-Scale Models for Large-Eddy Simulation of Rotating Turbulent Flows

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Part of the book series: ERCOFTAC Series ((ERCO,volume 25))

Abstract

We aim to design subgrid-scale models for large-eddy simulation of rotating turbulent flows. Rotating turbulent flows form a challenging test case for eddy viscosity models due to the presence of the conservative Coriolis force. We therefore propose a new subgrid-scale model that, in addition to a dissipative eddy viscosity term, contains a nondissipative nonlinear model term that can capture transport processes, such as those due to rotation. We show that the addition of this nonlinear model term leads to improved predictions of the Reynolds stress anisotropy in large-eddy simulations of a spanwise-rotating plane-channel flow, while maintaining the prediction of the mean velocity profile that is obtained when only using an eddy viscosity model.

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References

  1. Brethouwer, G.: Statistics and structure of spanwise rotating turbulent channel flow at moderate Reynolds numbers. J. Fluid Mech. 828, 424–458 (2017). https://doi.org/10.1017/jfm.2017.526

    Article  MathSciNet  Google Scholar 

  2. Deardorff, J.W.: Numerical study of three-dimensional turbulent channel flow at large Reynolds numbers. J. Fluid Mech. 41, 453–480 (1970). https://doi.org/10.1017/S0022112070000691

    Article  MATH  Google Scholar 

  3. Grundestam, O., Wallin, S., Johansson, A.V.: Direct numerical simulations of rotating turbulent channel flow. J. Fluid Mech. 598, 177–199 (2008). https://doi.org/10.1017/S0022112007000122

    Article  MathSciNet  MATH  Google Scholar 

  4. Marstorp, L., Brethouwer, G., Grundestam, O., Johansson, A.V.: Explicit algebraic subgrid stress models with application to rotating channel flow. J. Fluid Mech. 639, 403–432 (2009). https://doi.org/10.1017/S0022112009991054

    Article  MATH  Google Scholar 

  5. Silvis, M.H., Trias, F.X., Abkar, M., Bae, H.J., Lozano-Durán, A., Verstappen, R.W.C.P.: Exploring nonlinear subgrid-scale models and new characteristic length scales for large-eddy simulation. In: Proceedings of the Summer Program, pp. 265–274. Center for Turbulence Research, Stanford University (2016)

    Google Scholar 

  6. Silvis, M.H., Remmerswaal, R.A., Verstappen, R.: Physical consistency of subgrid-scale models for large-eddy simulation of incompressible turbulent flows. Phys. Fluids 29, 015105 (2017). https://doi.org/10.1063/1.4974093

    Article  Google Scholar 

  7. Thiele, M., Müller, W.-C.: Structure and decay of rotating homogeneous turbulence. J. Fluid Mech. 637, 425–442 (2009). https://doi.org/10.1017/S002211200999067X

    Article  MATH  Google Scholar 

  8. Trias, F.X., Gorobets, A., Silvis, M.H., Verstappen, R., Oliva, A.: A new subgrid characteristic length for turbulence simulations on anisotropic grids. Phys. Fluids 29, 115109 (2017). https://doi.org/10.1063/1.5012546

    Article  Google Scholar 

  9. Verstappen, R.W.C.P., Veldman, A.E.P.: Symmetry-preserving discretization of turbulent flow. J. Comput. Phys. 187, 343–368 (2003). https://doi.org/10.1016/S0021-9991(03)00126-8

    Article  MathSciNet  MATH  Google Scholar 

  10. Winckelmans, G.S., Jeanmart, H., Carati, D.: On the comparison of turbulence intensities from large-eddy simulation with those from experiment or direct numerical simulation. Phys. Fluids 14, 1809–1811 (2002). https://doi.org/10.1063/1.1466824

    Article  Google Scholar 

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Acknowledgements

Part of this research was conducted during the Center for Turbulence Research (CTR) Summer Program 2016 at Stanford University. The authors thank the CTR for its hospitality and financial support. This work is part of the research programme Free Competition in the Physical Sciences with project number 613.001.212, which is financed by the Netherlands Organisation for Scientific Research (NWO).

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Correspondence to M. H. Silvis .

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Silvis, M.H., Verstappen, R. (2019). Nonlinear Subgrid-Scale Models for Large-Eddy Simulation of Rotating Turbulent Flows. In: Salvetti, M., Armenio, V., Fröhlich, J., Geurts, B., Kuerten, H. (eds) Direct and Large-Eddy Simulation XI. ERCOFTAC Series, vol 25. Springer, Cham. https://doi.org/10.1007/978-3-030-04915-7_18

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  • DOI: https://doi.org/10.1007/978-3-030-04915-7_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-04914-0

  • Online ISBN: 978-3-030-04915-7

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