Abstract
The variational multiscale (VMS) approach based on a modal discontinuous Galerkin (DG) method is used to perform LES of the sub-critical flow past a circular cylinder at Reynolds numbers \(20\,000\) and \(140\,000\), based on the cylinder diameter. The potential of using p-adaption in combination with DG-VMS is illustrated for the case at \(Re=140\,000\) by considering a non-uniform distribution of the polynomial degree based on a recently developed error estimation strategy [15].
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References
Bassi, F., Botti, L., Colombo, A., Di Pietro, D.A., Tesini, P.: On the flexibility of agglomeration based physical space DG discretizations. J. Comput. Phys. 231(1) (2012)
Breuer, M.: A challenging test case for large-eddy-simulation: high Reynolds number circular cylinder flow. Int. J. Heat Fluid Flow 21(5) (2000)
Cantwell, B., Coles, D.: An experimental study of entrainment and transport in the turbulent near wake of a circular cylinder. J. Fluid Mech. 136 (1983)
Chapelier, J.B., de la Llave Plata, M., Renac, F., Lamballais, E.: Evaluation of a high-order discontinuous Galerkin method for the DNS of turbulent flows. Comput. Fluids 95 (2014)
Chapelier, J.B., de la Llave Plata, M., Lamballais, E.: Development of a multiscale LES model in the context of a modal DG method. Comput. Methods Appl. Mech. Eng. 307 (2016)
de la Llave Plata, M., Couaillier, V., Le Pape, M.C.: On the use of a high-order discontinuous Galerkin method for DNS and LES of wall-bounded turbulence. Comput. Fluids 176 (2018)
Gottlieb, D., Orszag, S.A.: Numerical Analysis of Spectral Methods: Theory and Applications. SIAM (1977)
Hartmann, R., Houston, P.: An optimal order interior penalty DG discretization of the compressible Navier-Stokes equations. J. Comput. Phys. 227(22) (2008)
Fröhlich, J., Rodi, W., Bertoglio, J.P., Bieder, U., Touil, H.: LES of flow around circular cylinders on structured and unstructured grids, II. In: Hirschel, E.H. (eds.) Numerical Flow Simulation II. Notes on Numerical Fluid Mechanics, vol. 75. Springer (2001)
Karabelas, S.J.: LES of high-Reynolds number flow past a rotating cylinder. Int. J. Heat Fluid Flow 31(4) (2010)
Lesieur, M., Métais, O., Comte, P.: Large-Eddy Simulation of Turbulence. Cambridge University Press, Cambridge (2005)
Lim, H.C., Lee, S.J.: Flow control of circular cylinders with longitudinal grooved surfaces. AIAA J. 40(10) (2002)
Lysenko, D.A., Ertesvåg, I.S., Rian, K.E.: LES of the flow over a circular cylinder at Reynolds number \(2\times 10^4\). Flow Turbul. Combust. 92(3) (2014)
Moussaed, C., Wornom, S., Salvetti, M.-S., Koobus, B., Dervieux, A.: Impact of dynamic subgrid-scale modeling in variational multiscale large-eddy simulation of bluff-body flows. Acta Mech. 225(12) (2014)
Naddei, F., de la Llave Plata, M., Couaillier, V.: A comparison of refinement indicators for p-adaptive simulations of steady and unsteady flows using DG methods. J. Comput. Phys. 376 (2019)
Norberg, C.: Fluctuating lift on a circular cylinder: review and new measurements. J. Fluids Struct. 17 (2003)
Parnaudeau, P., Carlier, J., Heitz, D., Lamballais, E.: Experimental and numerical studies of the flow over a circular cylinder at Reynolds number 3900. Phys. Fluids 20(8) (2008)
Renac, F., de la Llave Plata, M., Martin, E., Chapelier, J.-B., Couaillier, C.: Aghora: a high-order DG solver for turbulent flow simulations. In: Kroll, et al. (eds.) IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 128. Springer (2015)
Salvatici, E., Salvetti, M.V.: Large-eddy simulations of the flow around a circular cylinder: effects of grid resolution and subgrid scale modeling. Wind Struct. 6(6) (2003)
Son, J., Hanratty, T.: Velocity gradients at the wall for flow around a cylinder at Reynolds numbers from \(5\times 10^3\) to \(10^5\). J. Fluid Mech. 35 (1969)
Acknowledgements
This research has been partly funded by the European Union’s Horizon 2020 TILDA project (grant agreement number 635962). This work was performed using HPC resources from GENCI (Grants A0022A10129 and A0032A10309).
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de la Llave Plata, M., Naddei, F., Couaillier, V. (2021). LES of the Flow Past a Circular Cylinder Using a Multiscale Discontinuous Galerkin Method. In: Deville, M., et al. Turbulence and Interactions. TI 2018 2018. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 149. Springer, Cham. https://doi.org/10.1007/978-3-030-65820-5_3
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