Implicit Large Eddy Simulations of a rectangular 5:1 cylinder with a high-order discontinuous Galerkin method |
Crivellini, Andrea
(Department of Industrial Engineering and Mathematical Science, Marche Polytechnic University)
Nigro, Alessandra (Department of Industrial Engineering and Mathematical Science, Marche Polytechnic University) Colombo, Alessandro (Department of Engineering and Applied Sciences, Universita degli Studi di Bergamo) Ghidoni, Antonio (Department of Mechanical and Industrial Engineering, Universita degli Studi di Brescia) Noventa, Gianmaria (Department of Mechanical and Industrial Engineering, Universita degli Studi di Brescia) Cimarelli, Andrea (Department of Engineering "Enzo Ferrari", Universita degli Studi di Modena e Reggio Emilia) Corsini, Roberto (Department of Engineering "Enzo Ferrari", Universita degli Studi di Modena e Reggio Emilia) |
1 | Gassner, G. and Kopriva, D.A. (2011), "A comparison of the dispersion and dissipation errors of Gauss and GaussLobatto discontinuous Galerkin spectral element methods", SIAM J. Sci. Comput., 33(5), 2560-2579. https://doi.org/10.1137/100807211. DOI |
2 | Lang, J. and Verwer, J. (2001), "ROS3PAn accurate third-order Rosenbrock solver designed for parabolic problems", BIT Numer. Mathem., 41(4), 731-738. DOI |
3 | Franciolini, M., Botti, L., Colombo, A. and Crivellini, A. (2020), "p-multigrid matrix-free discontinuous Galerkin solution strategies for the under-resolved simulation of incompressible turbulent flows", Comput. Fluids, 206, 104558. https://doi.org/10.1016/j.compfluid.2020.104558. DOI |
4 | Carton de Wiart, C., Hillewaert, K., Bricteux, L. and Winckelmans, G. (2015), "Implicit LES of free and wallbounded turbulent flows based on the discontinuous Galerkin/symmetric interior penalty method", Int. J. Numer. Meth. Fluids, 78, 335-354. https://doi.org/10.1002/fld.4021. DOI |
5 | Mannini, C., Marra, A.M., Pigolotti, L. and Bartoli, G. (2017), "The effects of free-stream turbulence and angle of attack on the aerodynamics of a cylinder with rectangular 5: 1 cross section", J. Wind Eng. Ind. Aerod., 161, 42-58. https://doi.org/10.1016/j.jweia.2016.12.001. DOI |
6 | Mariotti, A., Siconolfi, L. and Salvetti, M.V. (2017), "Stochastic sensitivity analysis of large-eddy simulation predictions of the flow around a 5: 1 rectangular cylinder", Europ. J. Mech.-B/Fluids, 68, 149-165. https://doi.org/10.1016/j.euromechflu.2016.12.008. DOI |
7 | Manzanero, J., Ferrer, E., Rubio, G. and Valero E. (2018), "Dispersion-dissipation analysis for advection problems with nonconstant coefficients: Applications to discontinuous Galerkin formulations", SIAM J. Sci. Comput., 40(2), A747-A768. https://doi.org/10.1137/16M1101143. DOI |
8 | Ribeiro, A.F.P. (2011), "Unsteady RANS modeling of flow past a rectangular 5: 1 cylinder: Investigation of edge sharpness effects", In: Proceedings of the 13th International Conference on Wind Engineering (Amsterdam, The Netherlands). |
9 | Ricci, M., Patruno, L., de Miranda, S. and Ubertini F. (2017), "Flow field around a 5: 1 rectangular cylinder using LES: Influence of inflow turbulence conditions, spanwise domain size and their interaction", Comput. Fluids, 149, 181-193. https://doi.org/10.1016/j.compfluid.2017.03.010. DOI |
10 | Yoshizawa, A. (1986), "Statistical theory for compressible turbulent shear flows, with the application to sub-grid modeling", Phys. Fluids, 29(7), 2152-2164. https://doi.org/10.1063/1.865552. DOI |
11 | Cimarelli, A., Leonforte, A. De Angelis, E., Crivellini, A. and Angeli, D. (2019a), "On negative turbulence production phenomena in the shear layer of separating and reattaching flows", Phys. Lett. A, 383, 1019-1026. https://doi.org/10.1016/j.physleta.2018.12.026. DOI |
12 | Cimarelli, A., Leonforte, A. De Angelis, E., Crivellini, A. and Angeli D. (2019b), "Resolved dynamics and subgrid stresses in separating and reattaching flows", Phys. Fluids, 31, 095101. https://doi.org/10.1063/1.5110036. DOI |
13 | Hesthaven, J. and Warburton, T. (2008), "Nodal discontinuous Galerkin Methods; algorithms, analysis and applications", Texts in Applied Mathematics, 54. |
14 | Hughes, T.J.R., Feijo, G.R., Mazzei, L. and Quincy, J.B. (1998), "The variational multiscale method - a paradigm for computational mechanics", Comput. Meth. Appl. Mech. Eng., 166(1), 3-24. https://doi.org/10.1016/S0045-7825(98)00079-6. DOI |
15 | Liu, X., Cui, Y. and Liu, Q. (2013), "Wind tunnel study on spanwise correlation of aerodynamic forces on a 5: 1 rectangular cylinder", In: Eighth Asia-Pacific Conference on Wind Engineering (Chennai, India), 211-217. https://doi.org/10.3850/978-981-07-8012-8_289. DOI |
16 | Bassi, F., Botti. L., Colombo, A., Di Pietro, D.A. and Tesini, P. (2012), "On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations", J. Comput. Phys., 231, 45-65. https://doi.org/10.1016/j.jcp.2011.08.018. DOI |
17 | Massa, F.C., Noventa, G., Lorini, M., Bassi, F., Ghidoni, A. (2018), "High-order linearly implicit two-step peer schemes for the discontinuous Galerkin solution of the incompressible NavierStokes equations", Comput. Fluids, 162, 55-71. https://doi.org/10.1016/j.compfluid.2017.12.003. DOI |
18 | Lodato, G. and Chapelier, J.B. (2018), "Evaluation of the spectral element dynamic model for large-eddy simulation on unstructured, deformed meshes", Flow, Turbulence Combustion, 101, 271-294. https://doi.org/10.1007/s10494-018-9935-1. DOI |
19 | Bassi, F., Crivellini, A., Di Pietro, D.A. and Rebay, S. (2006), "An artificial compressibility flux for the discontinuous Galerkin solution of the incompressible Navier-Stokes equations", J. Comput. Phys., 218, 794-815. https://doi.org/10.1016/j.jcp.2006.03.006. DOI |
20 | Alhawwary, M. and Wang, Z.J. (2018), "Fourier analysis and evaluation of DG, FD and compact difference methods for conservation laws", J. Comput. Phys., 373, 835-862. https://doi.org/10.1016/j.jcp.2018.07.018 . DOI |
21 | Bassi, F., Botti, L., Colombo, A., Ghidoni, A. and Massa, F. (2015), "Linearly implicit Rosenbrock-type Runge-Kutta schemes applied to the Discontinuous Galerkin solution of compressible and incompressible unsteady flows", Comput. Fluids, 118, 305-320. https://doi.org/10.1016/j.compfluid.2015.06.007. DOI |
22 | Bassi, F., Botti, L., Colombo, A., Crivellini, A., Franciolini, M., Ghidoni, A., Noventa, G. (2020), "A p-adaptive Matrix-Free Discontinuous Galerkin Method for the Implicit LES of incompressible transitional flows", Flow, Turbulence Combustion, 105, 437-470. https://doi.org/10.1007/s10494-020-00178-2. DOI |
23 | Carton de Wiart, C. and Hillewaert, K. (2012), "DNS and ILES of transitional flows around a SD7003 using a high order Discontinuous Galerkin Method", In: Seventh International Conference on Computational Fluid Dynamics (Big Island, Hawaii), 1-14. http://hdl.handle.net/2268/262495. |
24 | Bando, K., Naddei, F., de la Llave Plata, M. and Ihme, M. (2018), "Variational multiscale SGS modeling for LES using a highorder discontinuous Galerkin method", In 2018 Annual Research, Center for Turbulence Research, Stanford, 299-312. https://hal.archives-ouvertes.fr/hal-02491834 |
25 | Zhang, Z. and Xu, F. (2020), "Spanwise length and mesh resolution effects on simulated flow around a 5: 1 rectangular cylinder", J. Wind Eng. Ind. Aerod., 202, 104186. https://doi.org/10.1016/j.jweia.2020.104186. DOI |
26 | Bassi, F., Rebay, S., Mariotti, G., Pedinotti, S. and Savini, M. (1997), "A high-order accurate discontinuous finite element method for inviscid and viscous turbomachinery flows", In: Proceedings of the 2nd European Conference on Turbomachinery Fluid Dynamics and Thermodynamics (Antwerpen, Belgium), 99-108. |
27 | Bruno, L., Fransos, D., Coste, N. and Bosco, A. (2010), "3D flow around a rectangular cylinder: A computational study", J. Wind Eng. Ind. Aerod., 98, 263-276. https://doi.org/10.1016/j.jweia.2009.10.005. DOI |
28 | Bruno, L., Salvetti, M.V. and Ricciardelli, F. (2014), "Benchmark on the aerodynamics of a rectangular 5: 1 cylinder: An overview after the first four years of activity", J. Wind Eng. Ind. Aerod., 126, 87-106. https://doi.org/10.1016/j.jweia.2014.01.005. DOI |
29 | Chiarini, A. and Quadrio, M. (2021), "The turbulent flow over the BARC rectangular cylinder: A DNS study", Flow, Turbulence Combustion. https://doi.org/10.1007/s10494-021-00254-1. DOI |
30 | Cimarelli, A., Leonforte, A. and Angeli, D. (2018), "On the structure of the self-sustaining cycle in separating and reattaching flows", J. Fluid Mech., 857, 907-936. https://doi.org/10.1017/jfm.2018.772. DOI |
31 | Cimarelli, A., Franciolini, M. and Crivellini, A. (2020), "Numerical experiments in separating and reattaching flows", Phys. Fluids, 32, 095119. https://doi.org/10.1063/5.0019049. DOI |
32 | Franciolini, M., Crivellini, A. and Nigro, A. (2017), "On the efficiency of a matrix-free linearly implicit time integration strategy for high-order Discontinuous Galerkin solutions of incompressible turbulent flows", Comput. Fluids, 159, 276294. https://doi.org/10.1016/j.compfluid.2017.10.008. DOI |
33 | Mengaldo, G., Mourab, R.C, Giralda B., Peir, J. and Sherwin S.J. (2018), "Spatial eigensolution analysis of discontinuous Galerkin schemes with practical insights for under-resolved computations and implicit LES", Computers and Fluids, 169, 349364. https://doi.org/10.1016/j.compfluid.2017.09.016 DOI |
34 | Noventa, G., Massa, F., Rebay, S., Bassi, F., Ghidoni, A. (2020), "Robustness and efficiency of an implicit time-adaptive discontinuous Galerkin solver for unsteady flows", Comput. Fluids, 204, 104529. https://doi.org/10.1016/j.compfluid.2020.104529. DOI |
35 | Fischer, P., Kruse, J., Mullen, J., Tufo, H., Lottesand, J. and Kerkemeier, S. (2008), "NEK5000: Open source spectral element CFD solver", https://nek5000.mcs.anl.gov/index.php/MainPage. |
36 | Mariotti, A., Salvetti, M.V., Omrani, P.S. and Witteveen, J.A.S (2016), "Stochastic analysis of the impact of freestream conditions on the aerodynamics of a rectangular 5: 1 cylinder", Comput. Fluids, 136, 170-192. https://doi.org/10.1016/j.compfluid.2016.06.008. DOI |
![]() |