IMPLICITLY PRECONDITIONED AND GLOBALIZED RESIDUAL METHOD FOR SOLVING STEADY FLUID FLOWS

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 spec- tral 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 e ncouraging and agree with those reported in the literature.

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