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A very fast high-order flux reconstruction for Finite Volume schemes for Computational Aeroacoustics

Article dans une revue avec comité de lecture
Author
RAMIREZ, Luis
38325 Universidade da Coruña
FERNÁNDEZ-FIDALGO, Javier
302798 Universidad Politécnica de Madrid [UPM]
PARIS, José
38325 Universidade da Coruña
ccDELIGANT, Michael
1003528 Laboratoire d'Ingénierie des Fluides et des Systèmes Énergétiques [LIFSE]
ccKHELLADI, Sofiane
1003528 Laboratoire d'Ingénierie des Fluides et des Systèmes Énergétiques [LIFSE]
ccNOGUEIRA, Xesús
38325 Universidade da Coruña

URI
http://hdl.handle.net/10985/26213
DOI
10.1007/s00366-024-02039-2
Date
2024-08
Journal
Engineering with Computers

Abstract

Given the small wavelengths and wide range of frequencies of the acoustic waves involved in Aeroacoustics problems, the use of very accurate, low-dissipative numerical schemes is the only valid option to accurately capture these phenomena. However, as the order of the scheme increases, the computational time also increases. In this work, we propose a new high-order flux reconstruction in the framework of finite volume (FV) schemes for linear problems. In particular, it is applied to solve the Linearized Euler Equations, which are widely used in the field of Computational Aeroacoustics. This new reconstruction is very efficient and well suited in the context of very high-order FV schemes, where the computation of high-order flux integrals are needed at cell edges/faces. Different benchmark test cases are carried out to analyze the accuracy and the efficiency of the proposed flux reconstruction. The proposed methodology preserves the accuracy while the computational time relatively reduces drastically as the order increases.

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