Krylov methods for the incompressible Navier-Stokes equations
- Univ. of Texas, Austin (United States)
- Columbia Univ., New York, NY (United States)
- Rice Univ., Houston, TX (United States)
Methods are presented for time 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, without inversion of the viscous operator. Time evolution is performed by a nonlinear extension of the method of exponential propagation. Steady states are calculated by inexact Krylov-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 with respect to wavy vortices in the Couette-Taylor problems. 61 refs., 10 figs., 1 tab.
- OSTI ID:
- 7106845
- Journal Information:
- Journal of Computational Physics; (United States), Vol. 110:1; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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