Volume 34, pp. 136-151, 2008-2009.

Implicitly preconditioned and globalized residual method for solving steady fluid flows

Jean-Paul Chehab and Marcos Raydan

Abstract

We develop a derivative-free preconditioned residual method for solving nonlinear steady fluid flows. The new scheme is based on a variable implicit preconditioning technique associated with the globalized spectral residual method. The new scheme is robust and allows numerical computation of the steady state of the two-dimensional incompressible Navier-Stokes equations (NSE), which we consider here in both primary variables and streamfunction-vorticity formulations. The results are encouraging and agree with those reported in the literature.

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Key words

nonlinear systems of equations, residual methods, globalization strategies, preconditioning, Navier-Stokes equations.

AMS subject classifications

76D05, 65H10, 76M20, 90C30

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