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Asymptotic–Newton method for solving incompressible flows
Author(s) -
Hadji Sofiane,
Dhatt Gouri
Publication year - 1997
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19971030)25:8<861::aid-fld589>3.0.co;2-o
Subject(s) - newton's method , linearization , mathematics , compressibility , scheme (mathematics) , finite element method , newton's method in optimization , navier–stokes equations , newton fractal , steffensen's method , incompressible flow , nonlinear system , mathematical analysis , calculus (dental) , geometry , physics , flow (mathematics) , mechanics , medicine , dentistry , quantum mechanics , thermodynamics
In this paper we present a comparative study of three non‐linear schemes for solving finite element systems of Navier–Stokes incompressible flows. The first scheme is the classical Newton–Raphson linearization, the second one is the modified Newton–Raphson linearization and the last one is a new scheme called the asymptotic–Newton method. The relative efficiency of these approaches is evaluated over a large number of examples. © 1997 John Wiley & Sons, Ltd.