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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)