A multigrid-preconditioned Newton-Krylov method for the incompressible Navier-Stokes equations

SIAM Journal on Scientific Computing

Volumn 23, Issue 2, 2002, Pages 398-418

  Pernice, M ^a   Tocci, M D ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Multigrid preconditioning; Newton Krylov methods; Pressure correction smoothers

Indexed keywords

BENCHMARKING; CONVERGENCE OF NUMERICAL METHODS; LARGE SCALE SYSTEMS; NAVIER STOKES EQUATIONS; PROBLEM SOLVING;

MULTIGRID PRECONDITIONING; PRESSURE-CORRECTION SMOOTHERS;

NONLINEAR EQUATIONS;

EID: 0036229223     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827500372250     Document Type: Conference Paper

References (44)

1. A second-order projection method for the incompressible Navier-Stokes equations
2. Efficient solution of liquid state integral equations using the Newton-GMRES algorithm
3. Multilevel adaptive solution to boundary value problems
4. Implicit solution of large-scale radiation-material energy transfer problems
5. Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation
6. Newton-Krylov-Schwarz methods in CFD
7. Numerical solution of the Navier-Stokes equations
8. A parallel, implicit, cell-centered method for two-phase flow with a Newton-Krylov solver
9. Natural convection of air in a square cavity: A benchmark numerical solution
10. Inexact Newton methods
11. Globally convergent inexact Newton methods
12. Choosing the forcing terms in an inexact Newton method
13. A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems
14. Iterative solution of linear systems
15. The use of object oriented design patterns in the SAMRAI structured AMR framework
16. High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
17. Numerical study of large amplitude free surface motions
18. Newton-Krylov-Schwarz techniques applied to the two-dimensional incompressible Navier-Stokes and energy equations
19. An inexact Newton algorithm for solving the tokamak edge plasma fluid equations on multiply connected domains
20. Newton-Krylov methods for low-mach-number compressible combustion
21. On Newton-Krylov-multigrid methods for the incompressible Navier-Stokes equations
22. A multigrid preconditioned Newton-Krylov method
23. Comparison of standard and matrix-free implementations of several Newton-Krylov solvers
24. Fully coupled finite volume solutions of the incompressible Navier-Stokes and energy equations using an inexact Newton method
25. An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix
26. Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion
27. A calculation procedure for two-dimensional elliptic situations
28. A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows
29. A hybrid multigrid method for the steady-state incompressible Navier-Stokes equations
30. NITSOL: A Newton iterative solver for nonlinear systems
31. A multigrid Newton-Krylov method for multimaterial equilibrium radiation diffusion
32. ILUT: A dual threshold incomplete LU factorization
33. GMRES: A generalized minimum residual algorithm for solving nonsymmetric linear systems
34. An inexact Newton method for fully coupled solution of the Navier-Stokes equations with heat and mass transport
35. On the smoothing properties of the SIMPLE pressure-correction algorithm
36. A multigrid method for recirculating flows
37. BI-CGSTAB: A fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems
38. Enhancements of the SIMPLE method for predicting incompressible fluid flows
39. Block implicit multigrid solution of Navier-Stokes equations in primitive variables
40. Multigrid methods for Stokes and Navier-Stokes equations
41. A Newton-Krylov multigrid solver for variably saturated flow problems