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Large Eddy Simulation of the Transitional Flow Around the SD7003 Airfoil and Application to Blade–Vortex Interaction

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Abstract

The transitional flow around the SD7003 airfoil at \(\alpha = 8^\circ\), \({\text { Re }}= 60,000\) and \({\text { Ma }}= 0.2\) was investigated employing p-adaptive large eddy simulations in a Discontinuous Galerkin (DG) framework. This test case is particularly challenging since a laminar separation bubble (LSB) with transition and reattachment of the turbulent boundary layer has been observed. The results obtained with the dynamic anisotropic model have been compared with experimental measurements and other numerical results available in literature. The polynomial adaptivity technique confirmed its capability to correctly represent the flow with a great saving in the computational cost. The results are close to experimental measurements thanks to the capability of the subgrid model to capture the energy backscatter from the subgrid scales. Starting from the statistically steady state flow field obtained, the viscous, parallel, Blade-Vortex Interaction (BVI) has been studied in the same numerical framework. A modelled vortex has been superimposed to the developed flow around the SD7003 airfoil and the dynamic p-adaptivity has been successfully employed to capture its advection over time. The loads have been recorded and compared with a reference simulation without the vortex. While the drag rapidly comes back to its steady-state value, the transients for lift and moment coefficients are longer because of the effect of the vortex on the LSB.

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Notes

  1. It has been proposed within the “International Workshop on High-Order CFD Methods”.

Abbreviations

DNS:

Direct numerical simulation

RANS:

Reynolds average Navier–Stokes

LES:

Large Eddy simulation

ILES:

Implicit large Eddy simulation

LSB:

Laminar separation bubble

MAV:

Micro aerial vehicle

BVI:

Blade–vortex interaction

SF:

Structure function

DOF:

Degrees of freedom

BL:

Boundary layer

KH:

Kelvin–Helmholtz

FD:

Finite differences

DG:

Discontinuous Galerkin

FR:

Flux reconstruction

CFD:

Compact finite differences

SBP:

Summation-by-parts

LEV:

Leading edge vortex

TEV:

Trailing edge vortex

LE:

Leading edge

TE:

Trailing edge

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Acknowledgements

The computational resources have been made available by the CINECA High Performance Computing facility (Italy) on the MARCONI A2 partition thanks to the projects IscrC PAVILES, IscrC AVIPALES and IscrB LESDY.

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  1. Dipartimento di Scienze e Tecnologie Aerospaziali, Politecnico di Milano, Via La Masa 34, 20156, Milano, Italy

    Andrea Pio Catello Bresciani & Antonella Abbà

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  1. Andrea Pio Catello Bresciani
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Correspondence to Andrea Pio Catello Bresciani.

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Bresciani, A.P.C., Abbà, A. Large Eddy Simulation of the Transitional Flow Around the SD7003 Airfoil and Application to Blade–Vortex Interaction. Aerotec. Missili Spaz. 99, 275–285 (2020). https://doi.org/10.1007/s42496-020-00065-z

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