Predictor-corrector preconditioned Newton-Krylov method for cavity flow

Lecture Notes in Computer Science

Volumn 3514, Issue I, 2005, Pages 82-89

  Ju, Jianwei ^a   Lapenta, Giovanni ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; MATHEMATICAL MODELS; MATHEMATICAL TECHNIQUES; NUMERICAL METHODS;

CAVITY FLOW; NEWTON-KRYLOV METHODS; PRECONDITIONED METHOD; PREDICTOR-CORRECTOR METHOD; NEWTON KRYLOV METHOD; NUMERICAL SCHEME; PRECONDITIONERS; PREDICTOR CORRECTOR; PREDICTOR-CORRECTOR METHODS; STANDARD-DRIVEN; TEST PROBLEM;

NAVIER STOKES EQUATIONS;

EID: 25144453327     PISSN: 03029743     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/11428831_11     Document Type: Conference Paper

References (11)

1. Dembo, R.S, Eisenstat, S.C, Steihaug, T.: Inexact Newton Method. SIAM J. Numer. Anal.,19 (1982), 400-408.
2. Eisenstat, S.C, Walker, H.F : Globally Convergent Inexact Newton Methods. SIAM J. Optim., 4 (1994), 393-422.
3. Eisenstat, S.C, Walker, H.F : Choosing The Forcing Terms In An Inexact Newton Method. SIAM J. Sci. Comput., 17 (1996), 16-32.
4. Kelley, C.T : Solving Nonlinear Equations with Newton's Method. Society for Industrial and Applied Mathematics (2003).
5. Kelley, C.T : Iterative Methods for Linear and Nonlinear Equations. Society for Industrial and Applied Mathematics (1995).
6. Kim, J.H, Kim, Y.H : A Predictor-Corrector Method For Structural Nonlinear Analysis. Comput. Methods Appl. Mech. Engrg. 191 (2001) 959-974.
7. Knoll, DA, Mousseau, VA: On Newton-Krylov multigrid methods for the incompressible Navier-Stokes equations., J. Comput. Phys. 163 (2000), 262-267.
8. Knoll, DA; Keyes, DE: Jacobian-free Newton-Krylov methods: a survey of approaches and applications, J. Comput. Phys. 193 (2004), 357-397.
9. Pernice, M, Tocci, M.D : A Multigrid-Preconditioned Newton-Krylov Method for the Incompressible Navier-Stokes Equations. SIAM J. Sci. Comput., 23 (2001). 398-418.
10. Chia, U., Chia, K. N., Shin, T., High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method. J. Comput. Phys. 48 (1982), 387-411.
11. Roache, P.J.: Fundamentals of Computational Fluid Dynamics. Hermosa Publishers (1998).