Krylov Methods for the Incompressible Navier-Stokes Equations
نویسنده
چکیده
Methods are presented for t ime evolution, steady-state solving and linear stability analysis for the incompressible Navier-Stokes equations at low to moderate Reynolds numbers. The methods use Krylov subspaces constructed by the Arnoldi process from actions of the explicit Navier-Stokes right-hand side and of its Jacobian, wi thout inversion of the viscous operator. Time evolut ion is performed by a nonlinear extension of the method of exponential propagation. Steady states are calculated by inexact Kry lov-Newton iteration using ORTHORES and GMRES. Linear stability analysis is carried out using an implicitly restarted Arnoldi process with implicit polynomial filters. A detailed implementation is described for a pseudospectral calculation of the stability of Taylor vortices wi th respect to wavy vortices in the Couette-Taylor problem. 9 1994 Academic Press, Inc.
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