DE SANTIS, Dante

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DE SANTIS, Dante
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]

Langue

Document de travail - Pré-publication

Résumé en anglais

A high-order Residual Distribution scheme for the solution of the compressible RANS equations is developed. The one-equation Spalart-Allmaras turbulence model is solved in a fully coupled approach; the mean flow equations as well as the turbulence equation are solved with high-order of accuracy. A continuous approximation of the solution is adopted and standard Lagrangian basis functions are used to construct the discrete space. Since viscous terms involve the gradient of the numerical solution which has a discontinuous normal component across the faces of the elements, a continuous approximation of the gradient of the numerical solution is recovered at each degree of freedom of the grid and then interpolated with the same basis functions used for the solution. The non-linear system of equations resulting from the numerical discretization is solved with the non-linear LU-SGS method. Several numerical experiments are performed to verify the accuracy of the numerical method, these are based on both subsonic and transonic flows in two and three spatial dimensions.< Réduire

Mots clés en anglais

High order schemes

residual distribution

gradient reconstruction

RANS equations

implicit method

URI

https://oskar-bordeaux.fr/handle/20.500.12278/197593

Projet Européen

Industrialisation of High-Order Methods - A Top-Down Approach

Origine

Importé de hal

Unités de recherche

Laboratoire Bordelais de Recherche en Informatique (LaBRI) - UMR 5800