Preconditioned residual methods for solving steady fluid flows

Chehab, Jean-Paul; Raydan, Marcos

Document type :

Rapport de recherche: Autre communication scientifique (congrès sans actes - poster - séminaire...)

Title :

Preconditioned residual methods for solving steady fluid flows

Author(s) :

Chehab, Jean-Paul [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Raydan, Marcos [Auteur]

Publication date :

2007

English keyword(s) :

Navier-Stokes equations
preconditioning
Newton-type methods

HAL domain(s) :

Mathématiques [math]/Analyse numérique [math.NA]

English abstract : [en]

We develop free-derivative preconditioned residual methods for solving nonlinear steady fluid flows. The new scheme is based on a variable implicit preconditioning technique associated to the globalized spectral residual ...
Show more >We develop free-derivative preconditioned residual methods for solving nonlinear steady fluid flows. The new scheme is based on a variable implicit preconditioning technique associated to the globalized spectral residual method. It is adapted for computing in a numerical way the steady state of the bi-dimensional and incompressible Navier-Stokes equations (NSE). We use finite differences for the discretization and consider both the primary variables and the stream function-vorticity formulations of the problem. Our numerical results agree with the ones in the literature and show the robustness of our method for Reynolds numbers up to Re=5000.Show less >

Language :

Anglais

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

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