Evaluation of Preconditioned Krylov Subspace Methods for Navier-stokes Equations
نویسندگان
چکیده
The purpose of this work is to compare the performance of some preconditioned iterative methods for solving the linear systems of equations, formed at each time-integration step of two-dimensional incompressible NavierStokes equations of fluid flow. The Navier-Stokes equations are discretized in an implicit and upwind control volume formulation. The iterative methods used in this paper include BiCG, CGS and GMRES. These Krylov subspace methods are equipped with incomplete LU factorization preconditioning. To increase the convergence rate, a scaling technique is used. Our numerical results show that the preconditioned GMRES method performs better than other preconditioned Krylov subspace methods.
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