A FULLY IMPLICIT DIRECT NEWTON METHOD FOR THE STEADY-STATE NAVIER-STOKES EQUATIONS

Authors
KNOLL DA MCHUGH PR
Citation
Da. Knoll et Pr. Mchugh, A FULLY IMPLICIT DIRECT NEWTON METHOD FOR THE STEADY-STATE NAVIER-STOKES EQUATIONS, International journal for numerical methods in fluids, 17(6), 1993, pp. 449-461
Citations number
20
Categorie Soggetti
Mathematical Method, Physical Science","Phsycs, Fluid & Plasmas",Mechanics
Journal title
International journal for numerical methods in fluids → ACNP
ISSN journal
02712091
Volume
17
Issue
6
Year of publication
1993
Pages
449 - 461
Database
ISI
SICI code
0271-2091(1993)17:6<449:AFIDNM>2.0.ZU;2-N
Abstract
Newton's method and banded Gaussian elimination can be a CPU efficient method for steady-state solutions to two-dimensional Navier-Stokes eq uations. In this paper we look at techniques that increase the radius of convergence of Newton's method, reduce the number of times the Jaco bian must be factored, and simplify evaluation of the Jacobian. The dr iven cavity and natural convection problems are used as test problems, and finite volume discretization is employed.