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Volumn 189, Issue 1, 2003, Pages 30-44

An efficient physics-based preconditioner for the fully implicit solution of small-scale thermally driven atmospheric flows

Author keywords

Navier stokes equations; Nonlinear solver; Physics based preconditioning

Indexed keywords

ATMOSPHERIC MOVEMENTS; DIFFERENCE EQUATIONS; NONLINEAR EQUATIONS; TIME MEASUREMENT; VISCOUS FLOW;

EID: 0038115253     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9991(03)00198-0     Document Type: Article
Times cited : (46)

References (23)
  • 1
    • 0036851843 scopus 로고    scopus 로고
    • An implicit nonlinearly-consistent method for the two-dimensional shallow-water equations with coriolis force
    • V.A. Mousseau, D.A. Knoll, J.M. Reisner, An implicit nonlinearly-consistent method for the two-dimensional shallow-water equations with coriolis force, Mon. Weather Rev. 130 (2002) 2611-2625.
    • (2002) Mon. Weather Rev. , vol.130 , pp. 2611-2625
    • Mousseau, V.A.1    Knoll, D.A.2    Reisner, J.M.3
  • 3
    • 0033293109 scopus 로고    scopus 로고
    • A multigrid preconditioned Newton-Krylov method
    • D.A. Knoll, W.J. Rider, A multigrid preconditioned Newton-Krylov method, SIAM J. Sci. Comput. 21 (2) (1999) 691-710.
    • (1999) SIAM J. Sci. Comput. , vol.21 , Issue.2 , pp. 691-710
    • Knoll, D.A.1    Rider, W.J.2
  • 4
    • 0001229827 scopus 로고    scopus 로고
    • On Newton-Krylov-multigrid methods for the incompressible Navier-Stokes equations
    • D.A. Knoll, V.A. Mousseau, On Newton-Krylov-multigrid methods for the incompressible Navier-Stokes equations, J. Comput. Phys. 163 (2000) 262-267.
    • (2000) J. Comput. Phys. , vol.163 , pp. 262-267
    • Knoll, D.A.1    Mousseau, V.A.2
  • 5
    • 0000977352 scopus 로고
    • Hybrid Krylov methods for nonlinear systems of equations
    • P.N. Brown, Y. Saad, Hybrid Krylov methods for nonlinear systems of equations, SIAM J. Sci. Stat. Comput. 11 (1990) 450-481.
    • (1990) SIAM J. Sci. Stat. Comput. , vol.11 , pp. 450-481
    • Brown, P.N.1    Saad, Y.2
  • 6
    • 0035443938 scopus 로고    scopus 로고
    • Application of the Newton-Krylov method to geophysical flows
    • J. Reisner, V. Mousseau, D. Knoll, Application of the Newton-Krylov method to geophysical flows, Mon. Weather Rev. 129 (2001) 2404-2415.
    • (2001) Mon. Weather Rev. , vol.129 , pp. 2404-2415
    • Reisner, J.1    Mousseau, V.2    Knoll, D.3
  • 7
    • 0033660222 scopus 로고    scopus 로고
    • Coupled atmospheric-fire modeling employing the method of averages
    • J. Reisner, S. Wynne, L. Margolin, R. Linn, Coupled atmospheric-fire modeling employing the method of averages, Mon. Weather Rev. 128 (2000) 3683-3691.
    • (2000) Mon. Weather Rev. , vol.128 , pp. 3683-3691
    • Reisner, J.1    Wynne, S.2    Margolin, L.3    Linn, R.4
  • 8
    • 0004066241 scopus 로고
    • A description of the fifth-generation penn state/NCAR Mesoscale model (MM5)
    • A Technical Report NCAR/TN-398 + STR, National Center for Atmospheric Research Boulder, CO, 121 pp [Available from ]
    • G.A. Grell, J. Dudhia. D. R. Stauffer, A description of the fifth-generation penn state/NCAR Mesoscale model (MM5), Technical Report NCAR/TN-398 + STR, National Center for Atmospheric Research Boulder, CO, 1994, 121 pp [Available from http://www.mmm.ucar.edu/mm5].
    • (1994)
    • Grell, G.A.1    Dudhia, J.2    Stauffer, D.R.3
  • 10
    • 0344705194 scopus 로고    scopus 로고
    • The Canadian MC2: A semi-Lagrangian, semi-implicit wideband atmospheric model suited for finescale process studies and simulation
    • R. Benoit, M. Desgagne', P. Pellerin, S. Pellerin, Y. Chartier, The Canadian MC2: a semi-Lagrangian, semi-implicit wideband atmospheric model suited for finescale process studies and simulation, Mon. Weather Rev. 125 (1997) 2382-2415.
    • (1997) Mon. Weather Rev. , vol.125 , pp. 2382-2415
    • Benoit, R.1    Desgagne', M.2    Pellerin, P.3    Pellerin, S.4    Chartier, Y.5
  • 11
    • 0021521368 scopus 로고
    • Pressure method for the numerical solution of transient compressible fluid flows
    • V. Casulli, D. Greenspan, Pressure method for the numerical solution of transient compressible fluid flows, Int. J. Numer. Methods Fluids 4 (1984) 1001-1012.
    • (1984) Int. J. Numer. Methods Fluids , vol.4 , pp. 1001-1012
    • Casulli, V.1    Greenspan, D.2
  • 12
    • 0029106179 scopus 로고
    • Why you should not use 'hybrid,' 'power-law' or related exponential schemes for convective modeling - There are better alternatives
    • B. Leonard, J. Drummond, Why you should not use 'hybrid,' 'power-law' or related exponential schemes for convective modeling -there are better alternatives, Int. J. Numer. Methods Fluids 20 (1995) 421-442.
    • (1995) Int. J. Numer. Methods Fluids , vol.20 , pp. 421-442
    • Leonard, B.1    Drummond, J.2
  • 13
    • 0001651643 scopus 로고
    • Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms
    • T.F. Chan, K.R. Jackson, Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms, SIAM J. Sci. Stat. Comput. 5 (1984) 533-542.
    • (1984) SIAM J. Sci. Stat. Comput. , vol.5 , pp. 533-542
    • Chan, T.F.1    Jackson, K.R.2
  • 14
    • 0003554096 scopus 로고    scopus 로고
    • Iterative Methods for Sparse Linear Systems
    • PWS Publishing Company, Boston
    • Y. Saad, Iterative Methods for Sparse Linear Systems, PWS Publishing Company, Boston, 1996.
    • (1996)
    • Saad, Y.1
  • 15
    • 0003176174 scopus 로고    scopus 로고
    • Choosing the forcing terms in an inexact Newton method
    • S.C. Eisenstat, H.F. Walker, Choosing the forcing terms in an inexact Newton method, SIAM J. Sci. Comput. 17 (1996) 16-32.
    • (1996) SIAM J. Sci. Comput. , vol.17 , pp. 16-32
    • Eisenstat, S.C.1    Walker, H.F.2
  • 16
    • 0025463531 scopus 로고
    • Assessing a search direction within a truncated-Newton method
    • S.G. Nash, A. Sofer, Assessing a search direction within a truncated-Newton method, Oper. Res. Lett. 9 (1990) 219-221.
    • (1990) Oper. Res. Lett. , vol.9 , pp. 219-221
    • Nash, S.G.1    Sofer, A.2
  • 17
    • 0028498492 scopus 로고
    • Fully implicit finite volume solutions of the incompressible Navier-Stokes and energy equations using inexact Newton's method
    • P.R. McHugh, D.A. Knoll, Fully implicit finite volume solutions of the incompressible Navier-Stokes and energy equations using inexact Newton's method, Int. J. Numer. Methods Fluids 18 (1994) 439-455.
    • (1994) Int. J. Numer. Methods Fluids , vol.18 , pp. 439-455
    • McHugh, P.R.1    Knoll, D.A.2
  • 18
    • 0001374796 scopus 로고    scopus 로고
    • A Newton iterative solver for nonlinear systems
    • M. Pernice, H.F. Walker, A Newton iterative solver for nonlinear systems, SIAM J. Sci. Comput. 19 (1998) 302-318.
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 302-318
    • Pernice, M.1    Walker, H.F.2
  • 19
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving non-symmetric linear systems
    • Y. Saad, M. Shultz, GMRES: a generalized minimal residual algorithm for solving non-symmetric linear systems, SIAM. J. Sci. Comput 7 (1986) 856.
    • (1986) SIAM. J. Sci. Comput , vol.7 , pp. 856
    • Saad, Y.1    Shultz, M.2
  • 20
    • 0001548966 scopus 로고    scopus 로고
    • An improved convection scheme applied to recombining divertor plasma flows
    • D,A. Knoll, An improved convection scheme applied to recombining divertor plasma flows, J. Comput. Phys. 142 (1998) 473-488.
    • (1998) J. Comput. Phys. , vol.142 , pp. 473-488
    • Knoll, D.A.1
  • 21
    • 0000118660 scopus 로고
    • Variational solver for elliptic problems in atmospheric flows
    • P.K. Smolarkiewicz, L.G. Margolin, Variational solver for elliptic problems in atmospheric flows, Appl. Math. Comp. Sci. 4 (1994) 527-551.
    • (1994) Appl. Math. Comp. Sci. , vol.4 , pp. 527-551
    • Smolarkiewicz, P.K.1    Margolin, L.G.2
  • 22
    • 0027832956 scopus 로고
    • An initialization scheme of hurricane models by vortex specification
    • Y. Kurihara, R. Ross, An initialization scheme of hurricane models by vortex specification, Mon. Weather Rev. 121 (1993) 2030-2045.
    • (1993) Mon. Weather Rev. , vol.121 , pp. 2030-2045
    • Kurihara, Y.1    Ross, R.2
  • 23
    • 0001498534 scopus 로고
    • Improvements in the GFDL hurricane prediction system
    • Y. Kurihara, R.E. Tuleya, R. Ross, Improvements in the GFDL hurricane prediction system, Mon. Weather Rev. 123 (1995) 2791-2801.
    • (1995) Mon. Weather Rev. , vol.123 , pp. 2791-2801
    • Kurihara, Y.1    Tuleya, R.E.2    Ross, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.