Blending Dual Time Stepping and Newton‐Krylov Methods for Unsteady Flows | Zendy

Birken Philipp | Zendy; Jameson Antony | Zendy

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Blending Dual Time Stepping and Newton‐Krylov Methods for Unsteady Flows

Author(s) -

Birken Philipp,

Jameson Antony

Publication year - 2009

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200910270

Subject(s) - newton's method , time stepping , computation , convergence (economics) , nonlinear system , dual (grammatical number) , unsteady flow , computer science , mathematics , control theory (sociology) , mechanics , physics , mathematical analysis , algorithm , economics , art , literature , quantum mechanics , discretization , economic growth , control (management) , artificial intelligence

We explore the idea of using nonlinear schemes as preconditioners in Newton‐Krylov schemes for unsteady flow computations. Analysis shows that left preconditioning changes the Newton scheme in a non equivalent way, leading to a stall in Newton convergence, whereas right preconditioning leads to a sound method. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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