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Wind and Structures
  Volume 34, Number 1, January 2022 (Special Issue) pages 59-72
DOI: https://doi.org/10.12989/was.2022.34.1.059
 


Implicit Large Eddy Simulations of a rectangular 5:1 cylinder with a high-order discontinuous Galerkin method
Andrea Crivellini, Alessandra Nigro, Alessandro Colombo, Antonio Ghidoni, Gianmaria Noventa, Andrea Cimarelli and Roberto Corsini

 
Abstract
    In this work the numerical results of the flow around a 5:1 rectangular cylinder at Reynolds numbers 3 000 and 40 000, zero angle of attack and smooth incoming flow condition are presented. Implicit Large Eddy Simulations (ILES) have been performed with a high-order accurate spatial scheme and an implicit high-order accurate time integration method. The spatial approximation is based on a discontinuous Galerkin (dG) method, while the time integration exploits a linearly-implicit Rosenbrock-type Runge-Kutta scheme. The aim of this work is to show the feasibility of high-fidelity flow simulations with a moderate number of DOFs and large time step sizes. Moreover, the effect of different parameters, i.e., dimension of the computational domain, mesh type, grid resolution, boundary conditions, time step size and polynomial approximation, on the results accuracy is investigated. Our best dG result at Re=3 000 perfectly agrees with a reference DNS obtained using Nek5000 and about 40 times more degrees of freedom. The Re=40 000 computations, which are strongly under-resolved, show a reasonable correspondence with the experimental data of Mannini et al. (2017) and the LES of Zhang and Xu (2020).
 
Key Words
    BARC benchmark; discontinuous Galerkin method; Implicit Large Eddy Simulation; (ILES); implicit time integration
 
Address
Andrea Crivellini: Department of Industrial Engineering and Mathematical Science, Marche Polytechnic University, Via Brecce Bianche 12, 60131 Ancona, Italy

Alessandra Nigro: Department of Industrial Engineering and Mathematical Science, Marche Polytechnic University, Via Brecce Bianche 12, 60131 Ancona, Italy

Alessandro Colombo: Department of Engineering and Applied Sciences, Universita degli Studi di Bergamo, Viale Marconi 5, 24044 Dalmine, Italy

Antonio Ghidoni: Department of Mechanical and Industrial Engineering, Universita degli Studi di Brescia, Via Branze 38, 25121 Brescia, Italy

Gianmaria Noventa: Department of Mechanical and Industrial Engineering, Universita degli Studi di Brescia, Via Branze 38, 25121 Brescia, Italy

Andrea Cimarelli: Department of Engineering "Enzo Ferrari", Universita degli Studi di Modena e Reggio Emilia, Via Vivarelli 10, 41125 Modena, Italy
 

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