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NEWTON–GMRES ALGORITHM APPLIED TO COMPRESSIBLE FLOWS

✍ Scribed by RÉMI CHOQUET; JOCELYNE ERHEL


Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
678 KB
Volume
23
Category
Article
ISSN
0271-2091

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✦ Synopsis


This paper addresses the resolution of non-linear problems arising from an implicit time discretization in CFD problems. We study the convergence of the Newton-GMRES algorithm with a Jacobian approximated by a finite difference scheme and with restarting in GMRES. In our numerical experiments we observe, as predicted by the theory, the impact of the matrix-free approximations. A second-order scheme clearly improves the convergence in the Newton process.


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