Title: Computational methods in aerodynamics

Authors: Nacer E. El Kadri E.; Abdelhakim Chillali

Addresses: Engineering Sciences Laboratory, Polydisciplinary Faculty of Taza, Sidi Mohamed Ben Abdellah University, BP, 1223, Taza, Morocco ' Engineering Sciences Laboratory, Polydisciplinary Faculty of Taza, Sidi Mohamed Ben Abdellah University, BP, 1223, Taza, Morocco

Abstract: In the field of aerodynamics, numerical simulation is an effective way to reduce costs and design times. Numerical simulation is gaining importance thanks to the improvement of power and computing capabilities. However, computing powers are still too weak for the modelling of industrial problems (high Mach, turbulent regimes, etc.). To overcome this problem, aerodynamicists have developed methods to reduce the need for machine capacity by simplifying the Navier-Stokes equations, knowing that these equations accurately describe the aerodynamic flows. The objective of this research is to participate in the improvement of numerical methods in aerodynamics. Indeed, the Navier-Stokes equations are solved in conservative variables. In order to treat high Reynolds number flows, the discrete model is obtained by finite element method and a Petrov-Galerkin weighting. The developed numerical model has been used for the resolution of external two-dimensional flows around a NACA-0012 profile in the transonic and supersonic domain.

Keywords: Navier-Stokes; Galerkin; Petrov-Galerkin; finite element method; FEM; aerodynamics; numerical simulation; machine capacity; numerical model; modelling.

DOI: 10.1504/IJCAET.2023.127790

International Journal of Computer Aided Engineering and Technology, 2023 Vol.18 No.1/2/3, pp.110 - 130

Received: 20 Mar 2020
Accepted: 26 Jun 2020
Published online: 19 Dec 2022 *

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