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Accuracy assessment of discontinuous Galerkin spectral element method in simulating supersonic free jets

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Abstract

The study performs large eddy simulations of supersonic free jet flows using the discontinuous Galerkin spectral element method (DGSEM). The main objective of the present work is to assess the resolution requirements for adequate simulation of such flows with the DGSEM approach. The study looked at the influence of the mesh and the spatial discretization accuracy on the simulation results. The present analysis involves four simulations, incorporating three different numerical meshes and two different orders of spatial discretization accuracy. The numerical meshes are generated with distinct mesh topologies and refinement levels. Detailed descriptions of the grid generation and refinement procedures are presented. The study compares flow property profiles and power spectral densities of velocity components with experimental data. The results show a consistent improvement in the computed data as the simulation resolution increases. This investigation revealed a trade-off between mesh and polynomial refinement, striking a balance between computational cost and the accuracy of large eddy simulation results for turbulent flow analyses.

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Acknowledgements

The authors acknowledge the support for the present research provided by Conselho Nacional de Desenvolvimento Científico e Tecnológico, CNPq, under the Research Grant No. 309985/2013-7 . The work is also supported by the computational resources from the Center for Mathematical Sciences Applied to Industry, CeMEAI, funded by Fundação de Amparo à Pesquisa do Estado de São Paulo, FAPESP, under the Research Grant No. 2013/07375-0 . The authors further acknowledge the National Laboratory for Scientific Computing (LNCC/MCTI, Brazil) for providing HPC resources of the SDumont supercomputer. This work was also granted access to the HPC resources of IDRIS under the allocation A0152A12067 made by GENCI. The first author acknowledges authorization by his employer, Embraer S.A., which has allowed his participation in the present research effort. Additional support to the second author under the FAPESP Research Grant No. 2013/07375-0 is also gratefully acknowledged. The authors acknowledge Dr. Eron T. V. Dauricio, for the support on the development of the simulations within the FLEXI framework.

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Authors and Affiliations

  1. Graduate Program in Space Sciences and Technologies, Instituto Tecnológico de Aeronáutica, DCTA/ITA, Praça Marechal Eduardo Gomes, 50, São José dos Campos, SP, 12228–900, Brazil

    Diego F. Abreu

  2. Aerodynamics Division, Instituto de Aeronáutica e Espaço, DCTA/IAE/ALA, São José dos Campos, SP, 12228–904, Brazil

    João Luiz F. Azevedo

  3. DynFluid Laboratory, Arts et Métiers Institute of Technology, CNAM, 151 Boulevard de l’Hôpital, 75013, Paris, Île-de-France, France

    Carlos Junqueira-Junior

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  1. Diego F. Abreu
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  2. João Luiz F. Azevedo
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  3. Carlos Junqueira-Junior
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Correspondence to Diego F. Abreu.

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Abreu, D.F., Azevedo, J.L.F. & Junqueira-Junior, C. Accuracy assessment of discontinuous Galerkin spectral element method in simulating supersonic free jets. J Braz. Soc. Mech. Sci. Eng. 46, 231 (2024). https://doi.org/10.1007/s40430-024-04788-z

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