Premium NEWTON–GMRES ALGORITHM APPLIED TO COMPRESSIBLE FLOWSPremium
Author(s)
CHOQUET RÉMI,
ERHEL JOCELYNE
Publication year1996
Publication title
international journal for numerical methods in fluids
Resource typeJournals
PublisherJohn Wiley & Sons
Abstract 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.
Subject(s)algorithm , channel (broadcasting) , compressibility , computer network , computer science , convergence (economics) , discretization , economic growth , economics , generalized minimal residual method , jacobian matrix and determinant , linear system , mathematical analysis , mathematical optimization , mathematics , mechanics , newton's method , nonlinear system , physics , quantum mechanics , rate of convergence
Language(s)English
SCImago Journal Rank0.938
H-Index112
eISSN1097-0363
pISSN0271-2091
DOI10.1002/(sici)1097-0363(19960730)23:2<177::aid-fld418>3.0.co;2-n
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