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Scale-Resolving Simulations on Unstructured Meshes with a Low-Dissipation Low-Dispersion Scheme

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New Results in Numerical and Experimental Fluid Mechanics XI

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 136))

Abstract

This paper presents an assessment of a low-dissipation low-dispersion finite-volume scheme in the DLR-TAU code for scale-resolving simulations on unstructured grids. The scheme is tested in both wall-resolved and wall-modelled LES of the plane channel flow, in pure LES of the periodic 2-D hill flow on a family of grids, and in a hybrid RANS/LES of a generic 3-D Delta wing. Overall, the LD2 scheme is found to yield consistent results and sensitivities for structured and unstructured grids.

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References

  1. Breuer, M., Peller, N., Rapp, C., Manhart, M.: Flow over periodic hills numerical and experimental study in a wide range of Reynolds numbers. Comput. Fluids 38(2), 436–460 (2009)

    Article  MATH  Google Scholar 

  2. Ducros, F., Nicoud, F., Poinsot, T.: Wall-adapting local Eddy-viscosity models for simulations in complex geometries. In: Proceedings of the Conference on Numerical Methods for Fluid Dynamics, Oxford, UK, pp. 293–299 (1998)

    Google Scholar 

  3. Fröhlich, J., Mellen, C.P., Rodi, W., Temmerman, L., Leschziner, M.A.: Highly resolved large-eddy simulation of separated flow in a channel with streamwise periodic constrictions. J. Fluid Mech. 526, 19–66 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  4. Furman, A., Breitsamter, C.: Experimental investigations on the VFE-2 configuration at TU Munich, Germany. In: Chapter 21 in: Understanding and Modeling Vortical Flows to Improve the Technology Readiness Level for Military Aircraft, RTO-TR-AVT-113, NATO RTO (2009)

    Google Scholar 

  5. Kok, J.: A high-order low-dispersion symmetry-preserving finite-volume method for compressible flow on curvilinear grids. J. Comput. Phys. 228(18), 6811–6832 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  6. Löwe, J., Probst, A., Knopp, T., Kessler, R.: Low-dissipation low-dispersion second-order scheme for unstructured finite-volume flow solvers. AIAA J. 54(10), 2961–2971 (2016)

    Article  Google Scholar 

  7. Lozano-Duran, A., Jimenez, J.: Effect of the computational domain on direct simulations of turbulent channels up to \(Re_\tau = 4200\). Phys. Fluids 26(011702) (2014)

    Google Scholar 

  8. Moser, R., Kim, J., Mansour, N.: Direct numerical simulation of turbulent channel flow up to \(Re_\tau = 590\). Phys. Fluids 11(4), 11–13 (1999)

    Article  MATH  Google Scholar 

  9. Probst, A., Löwe, J., Reuß, S., Knopp, T., Kessler, R.: Scale-resolving simulations with a low-dissipation low-dispersion second-order scheme for unstructured flow solvers. AIAA J. 54(10), 2972–2987 (2016)

    Article  Google Scholar 

  10. Probst, A., Reuß, S.: Scale-resolving simulations of wall-bounded flows with an unstructured compressible flow solver. In: Progress in Hybrid RANS-LES Modelling, NNFMMD, vol. 130, pp. 481–491. Springer (2015)

    Google Scholar 

  11. Schwamborn, D., Gardner, A.D., von Geyr, H., Krumbein, A., Lüdeke, H., Stürmer, A.: Development of the DLR TAU-code for aerospace applications. In: International Conference on Aerospace Science and Technology 26–28 June 2008, Bangalore, India (2008)

    Google Scholar 

  12. Shur, M.L., Spalart, P.R., Strelets, M.K., Travin, A.K.: A hybrid RANS-LES approach with delayed-DES and wall-modelled LES capabilities. Int. J. Heat Fluid Flow 29(6), 406–417 (2008)

    Article  Google Scholar 

  13. Travin, A., Shur, M., Strelets, M., Spalart, P.R.: Physical and numerical upgrades in the detached-Eddy simulation of complex turbulent flows. Adv. LES Complex Flows 65(5), 239–254 (2002)

    Google Scholar 

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Correspondence to Axel Probst .

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Probst, A. (2018). Scale-Resolving Simulations on Unstructured Meshes with a Low-Dissipation Low-Dispersion Scheme. In: Dillmann, A., et al. New Results in Numerical and Experimental Fluid Mechanics XI. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 136. Springer, Cham. https://doi.org/10.1007/978-3-319-64519-3_44

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  • DOI: https://doi.org/10.1007/978-3-319-64519-3_44

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-64518-6

  • Online ISBN: 978-3-319-64519-3

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