Application of the Newton-Krylov method to geophysical flows

Monthly Weather Review

Volumn 129, Issue 9, 2001, Pages 2404-2415

  Reisner, J ^a   Mousseau, V ^a   Knoll, D ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; NAVIER STOKES EQUATIONS;

GEOPHYSICAL FLOW;

FLUID DYNAMICS;

ALGORITHM; GEOPHYSICAL METHOD; NAVIER-STOKES EQUATIONS; NUMERICAL METHOD;

EID: 0035443938     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0493(2001)129<2404:AOTNKM>2.0.CO;2     Document Type: Article

References (31)

1. Hybrid Krylov methods for nonlinear systems of equations
2. Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms
3. A small-scale dynamic model using a terrain following coordinate transformation
4. SOR as a preconditioner
5. SOR as a preconditioner II
6. Truncated-Newton algorithms for large scale unconstrained optimization
7. Inexact Newton methods
8. An intercomparison of model-predicted wave breaking for the 11 January 1972 boulder windstorm
9. Choosing the forcing terms in a inexact Newton method
10. Variational iterative methods for nonsymmetric systems of linear equations
11. An improved convection scheme applied to recombining divertor plasma flows
12. Newton-Krylov methods for low-Mach-number compressible combustion
13. A new nonlinear solution method for phase-change problems
14. An efficient nonlinear solution method for non-equilibrium radiation diffusion
15. Fully implicit finite volume solutions of the incompressible Navier-Stokes and energy equations using inexact Newton's method
16. Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion
17. Precondition of truncated-Newton methods
18. Assessing a search direction within a Truncated-Newton method
19. NITSOL: A Newton iterative solver for nonlinear systems
20. A comprehensive meteorological modeling system - RAMS
21. A matrix-free preconditioned Newton/GMRES method for unsteady Navier-Stokes solution
22. Coupled atmospheric-fire modeling employing the method of averages
23. A synchronous and iterative flux-correction formalism for coupled transport equations
24. The stability of time-split numerical methods for the hydrostatic and nonhydrostatic elastic equations
25. Preconditioned conjugate-residual solvers for Helmholtz equations in nonhydrostatic models
26. A fully multidimensional positive definite advection transport algorithm with small implicit diffusion
27. On forward-in-time differencing for fluids: Extension to a curvilinear framework
28. Variational solver for elliptic problems in atmospheric flows
29. On forward-in-time differencing for fluids: An Eulerian/semi-Lagrangian nonhydrostatic model for stratified flows