메뉴 건너뛰기




Volumn 131, Issue 610 B, 2005, Pages 2431-2454

Semi-implicit time-integrators for a scalable spectral element atmospheric model

Author keywords

Backward difference formula; Hexahedral; Hydrostatic; Icosahedral; Leapfrog; Primitive equations

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; COMPUTER ARCHITECTURE; GALERKIN METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; VECTORS; WEATHER FORECASTING;

EID: 27144503810     PISSN: 00359009     EISSN: None     Source Type: Journal    
DOI: 10.1256/qj.03.218     Document Type: Article
Times cited : (37)

References (40)
  • 1
    • 27144487669 scopus 로고
    • Nonlinear leapfrog instability for Fornberg's pattern
    • Aoyagi, A. 1995 Nonlinear leapfrog instability for Fornberg's pattern. J. Comput. Phys., 120, 316-322
    • (1995) J. Comput. Phys. , vol.120 , pp. 316-322
    • Aoyagi, A.1
  • 2
    • 0000520914 scopus 로고
    • Frequency filter for time integrations
    • Asselin, R. 1972 Frequency filter for time integrations. Mon. Weather Rev., 100, 487-490
    • (1972) Mon. Weather Rev. , vol.100 , pp. 487-490
    • Asselin, R.1
  • 3
    • 4544383537 scopus 로고    scopus 로고
    • Prolate spheroidal wavefunctions as an alternative to Chebyshev or Legendre polynomials for spectral elements and pseudospectral algorithms
    • Boyd, J. P. 2004 Prolate spheroidal wavefunctions as an alternative to Chebyshev or Legendre polynomials for spectral elements and pseudospectral algorithms. J. Comput. Phys., 199, 688-716
    • (2004) J. Comput. Phys. , vol.199 , pp. 688-716
    • Boyd, J.P.1
  • 4
    • 84981642628 scopus 로고
    • A split semi-implicit reformulation of the Bushby-Timpson 10-level model
    • Burridge, D. M. 1975 A split semi-implicit reformulation of the Bushby-Timpson 10-level model. Q. J. R. Meteorol. Soc., 101, 777-792
    • (1975) Q. J. R. Meteorol. Soc. , vol.101 , pp. 777-792
    • Burridge, D.M.1
  • 5
    • 0000397713 scopus 로고
    • A Lagrange multiplier approach for the metric terms of semi-Lagrangian models on the sphere
    • Côté, J. 1988 A Lagrange multiplier approach for the metric terms of semi-Lagrangian models on the sphere. Q. J. R. Meteorol. Soc., 114, 1347-1352
    • (1988) Q. J. R. Meteorol. Soc. , vol.114 , pp. 1347-1352
    • Côté, J.1
  • 6
    • 0001111470 scopus 로고
    • A generalized family of schemes that eliminate the spurious resonant response of semi-Lagrangian schemes to orographic forcing
    • Côté, J., Gravel, S. and Staniforth, A. 1995 A generalized family of schemes that eliminate the spurious resonant response of semi-Lagrangian schemes to orographic forcing. Mon. Weather Rev., 123, 3605-3613
    • (1995) Mon. Weather Rev. , vol.123 , pp. 3605-3613
    • Côté, J.1    Gravel, S.2    Staniforth, A.3
  • 7
    • 0032443494 scopus 로고    scopus 로고
    • The operational CMC-MRB global environmental multiscale (GEM) model. Part I: Design considerations and formulation
    • Côté, J. C., Gravel, S., Methot, A., Patoine, A., Roch, M. and Staniforth, A. 1998 The operational CMC-MRB global environmental multiscale (GEM) model. Part I: design considerations and formulation, Mon. Weather Rev., 126, 1373-1395
    • (1998) Mon. Weather Rev. , vol.126 , pp. 1373-1395
    • Côté, J.C.1    Gravel, S.2    Methot, A.3    Patoine, A.4    Roch, M.5    Staniforth, A.6
  • 9
    • 0039776178 scopus 로고    scopus 로고
    • Projection techniques for iterative solutions of Ax = b with successive right-hand sides
    • Fischer, P. F. 1998 Projection techniques for iterative solutions of Ax = b with successive right-hand sides. Computer Methods in Applied Mechanics and Engineering, 163, 193-204
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.163 , pp. 193-204
    • Fischer, P.F.1
  • 10
    • 1642569585 scopus 로고    scopus 로고
    • Application of the spectral element method to the axisymmetric Navier-Stokes equations
    • Fournier, A., Bunge, H. P., Hollerbach, R. and Vilotte, J. P. 2004a Application of the spectral element method to the axisymmetric Navier-Stokes equations. Geophys. J. Int., 156, 682-700
    • (2004) Geophys. J. Int. , vol.156 , pp. 682-700
    • Fournier, A.1    Bunge, H.P.2    Hollerbach, R.3    Vilotte, J.P.4
  • 11
    • 1842735938 scopus 로고    scopus 로고
    • The spectral element atmosphere model (SEAM): High-resolution parallel computation and localized resolution of regional dynamics
    • Fournier, A., Taylor, M. A. and Tribbia, J. J. 2004b The spectral element atmosphere model (SEAM): high-resolution parallel computation and localized resolution of regional dynamics. Mon. Weather Rev., 132, 726-748
    • (2004) Mon. Weather Rev. , vol.132 , pp. 726-748
    • Fournier, A.1    Taylor, M.A.2    Tribbia, J.J.3
  • 13
    • 1842587745 scopus 로고    scopus 로고
    • A scalable spectral element Eulerian atmospheric model (SEE-AM) for NWP: Dynamical core tests
    • Giraldo, F. X. and Rosmond, T. E. 2004 A scalable spectral element Eulerian atmospheric model (SEE-AM) for NWP: Dynamical core tests. Mon. Weather Rev., 132, 133-153
    • (2004) Mon. Weather Rev. , vol.132 , pp. 133-153
    • Giraldo, F.X.1    Rosmond, T.E.2
  • 14
    • 18344391023 scopus 로고    scopus 로고
    • A nodal triangle-based spectral element method for the shallow water equations on the sphere
    • Giraldo, F. X. and Warburton, T. 2005 A nodal triangle-based spectral element method for the shallow water equations on the sphere. J. Comput. Phys., 207, 129-150
    • (2005) J. Comput. Phys. , vol.207 , pp. 129-150
    • Giraldo, F.X.1    Warburton, T.2
  • 15
    • 0037144878 scopus 로고    scopus 로고
    • Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations
    • Giraldo, F. X., Hesthaven, J. S. and Warburton, T. 2002 Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations. J. Comput. Phys., 181, 499-525
    • (2002) J. Comput. Phys. , vol.181 , pp. 499-525
    • Giraldo, F.X.1    Hesthaven, J.S.2    Warburton, T.3
  • 16
    • 0141850274 scopus 로고    scopus 로고
    • A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations
    • Giraldo, F. X., Perot, J. B. and Fischer, P. F. 2003 A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations. J. Comput. Phys., 190, 623-650
    • (2003) J. Comput. Phys. , vol.190 , pp. 623-650
    • Giraldo, F.X.1    Perot, J.B.2    Fischer, P.F.3
  • 17
    • 0003501882 scopus 로고
    • Description of the NCAR community climate model (CCM2)
    • NCAR Technical Note NCAR/TN-382+STR, National Center for Atmospheric Research, Climate Modeling Section, PO Box 3000, Boulder CO 80307
    • Hack, J. J., Boville, B. A., Briegleb, B. P., Kiehl, J. T., Rasch, P. J. and Williamson, D. L. 1992 Description of the NCAR community climate model (CCM2). NCAR Technical Note NCAR/TN-382+STR, National Center for Atmospheric Research, Climate Modeling Section, PO Box 3000, Boulder CO 80307
    • (1992)
    • Hack, J.J.1    Boville, B.A.2    Briegleb, B.P.3    Kiehl, J.T.4    Rasch, P.J.5    Williamson, D.L.6
  • 18
    • 0028669607 scopus 로고
    • A proposal for the intercomparison of the dynamical cores of atmospheric general circulation models
    • Held, I. M. and Suarez, M. J. 1994 A proposal for the intercomparison of the dynamical cores of atmospheric general circulation models. Bull. Am. Meteorol. Soc., 75, 1825-1830
    • (1994) Bull. Am. Meteorol. Soc. , vol.75 , pp. 1825-1830
    • Held, I.M.1    Suarez, M.J.2
  • 19
    • 0026311798 scopus 로고
    • The description of the Navy Global Operational Prediction System's spectral forecast model
    • Hogan, T. F. and Rosmond, T. E 1991 The description of the Navy Global Operational Prediction System's spectral forecast model. Mon. Weather Rev., 119, 1786-1815
    • (1991) Mon. Weather Rev. , vol.119 , pp. 1786-1815
    • Hogan, T.F.1    Rosmond, T.E.2
  • 22
    • 28144457683 scopus 로고
    • High-order splitting methods for the incompressible Navier-Stokes equations
    • Karniadakis, G. E., Israeli, M. and Orszag, S. A. 1991 High-order splitting methods for the incompressible Navier-Stokes equations. J. Comput. Phys., 97, 414-443
    • (1991) J. Comput. Phys. , vol.97 , pp. 414-443
    • Karniadakis, G.E.1    Israeli, M.2    Orszag, S.A.3
  • 23
    • 0348198275 scopus 로고    scopus 로고
    • Jacobian-free Newton-Krylov methods: A survey of approaches and applications
    • Knoll, D. A. and Keyes, D. E. 2004 Jacobian-free Newton-Krylov methods: A survey of approaches and applications. J. Comput. Phys., 193, 357-397
    • (2004) J. Comput. Phys. , vol.193 , pp. 357-397
    • Knoll, D.A.1    Keyes, D.E.2
  • 24
    • 0033400861 scopus 로고    scopus 로고
    • Introduction to the spectral element method for three-dimensional seismic wave propagation
    • Komatitsch, D. and Tromp, J. 1999 Introduction to the spectral element method for three-dimensional seismic wave propagation. Geophys. J. Int., 139, 806-822
    • (1999) Geophys. J. Int. , vol.139 , pp. 806-822
    • Komatitsch, D.1    Tromp, J.2
  • 25
    • 0002406916 scopus 로고
    • A semi-implicit scheme for grid point atmospheric models of the primitive equations
    • Kwizak, M. and Robert, A. J. 1971 A semi-implicit scheme for grid point atmospheric models of the primitive equations. Mon. Weather Rev., 99, 32-36
    • (1971) Mon. Weather Rev. , vol.99 , pp. 32-36
    • Kwizak, M.1    Robert, A.J.2
  • 26
    • 0000581731 scopus 로고    scopus 로고
    • Multidimensional flux-form semi-Lagrangian transport schemes
    • Lin, S. J. and Rood, R. B. 1996 Multidimensional flux-form semi-Lagrangian transport schemes. Mon. Weather Rev., 124, 2046-2070
    • (1996) Mon. Weather Rev. , vol.124 , pp. 2046-2070
    • Lin, S.J.1    Rood, R.B.2
  • 27
    • 0025532444 scopus 로고
    • An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow
    • Maday, Y., Patera, A. T. and Ronquist, E. M. 1990 An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow. J. Sci. Computing, 5, 263-292
    • (1990) J. Sci. Computing , vol.5 , pp. 263-292
    • Maday, Y.1    Patera, A.T.2    Ronquist, E.M.3
  • 29
    • 0542371330 scopus 로고    scopus 로고
    • Stable 3-level leapfrog integration in numerical relativity
    • 064022
    • New, K. C. B., Watt, K., Misner, C. W. and Centrella, J. M. 1998 Stable 3-level leapfrog integration in numerical relativity. Phys. Rev. D, 58, 064022, 1-14
    • (1998) Phys. Rev. D , vol.58 , pp. 1-14
    • New, K.C.B.1    Watt, K.2    Misner, C.W.3    Centrella, J.M.4
  • 30
    • 0037138421 scopus 로고    scopus 로고
    • Overlapping Schwarz preconditioners for spectral element discretizations of convection-diffusion problems
    • Pavarino, L. F. 2002 Overlapping Schwarz preconditioners for spectral element discretizations of convection-diffusion problems. International Journal for Numerical Methods in Engineering, 53, 1005-1023
    • (2002) International Journal for Numerical Methods in Engineering , vol.53 , pp. 1005-1023
    • Pavarino, L.F.1
  • 31
    • 8744240583 scopus 로고    scopus 로고
    • Numerically converged solutions of the global primitive equations for testing the dynamical core of atmospheric GCMs
    • Polvani, L. M., Scott, R. K. and Thomas, S. J. 2004 Numerically converged solutions of the global primitive equations for testing the dynamical core of atmospheric GCMs. Mon. Weather Rev., 132, 2539-2552
    • (2004) Mon. Weather Rev. , vol.132 , pp. 2539-2552
    • Polvani, L.M.1    Scott, R.K.2    Thomas, S.J.3
  • 33
    • 0001104546 scopus 로고
    • Implementation of the semi-Lagrangian method in a high-resolution version of the ECMWF forecast model
    • Ritchie, H., Temperton, C., Simmons, A., Hortal, M., Davies, T., Dent, D. and Hamrud, M. 1995 Implementation of the semi-Lagrangian method in a high-resolution version of the ECMWF forecast model. Mon. Weather Rev., 123, 489-514
    • (1995) Mon. Weather Rev. , vol.123 , pp. 489-514
    • Ritchie, H.1    Temperton, C.2    Simmons, A.3    Hortal, M.4    Davies, T.5    Dent, D.6    Hamrud, M.7
  • 34
    • 0028578362 scopus 로고
    • Spurious resonant response of semi-Lagrangian discretizations to orographic forcing - Diagnosis and solution
    • Rivest, C., Staniforth, A. and Robert, A. 1994 Spurious resonant response of semi-Lagrangian discretizations to orographic forcing - diagnosis and solution. Mon. Weather Rev., 122, 366-376
    • (1994) Mon. Weather Rev. , vol.122 , pp. 366-376
    • Rivest, C.1    Staniforth, A.2    Robert, A.3
  • 35
    • 0000248894 scopus 로고
    • Studies in numerical nonlinear instability. 1: Why do leapfrog schemes go unstable
    • Sanz-Sema, J. M. 1985 Studies in numerical nonlinear instability. 1: Why do leapfrog schemes go unstable. SIAM J. Scientific and Statistical Computing, 6, 923-938
    • (1985) SIAM J. Scientific and Statistical Computing , vol.6 , pp. 923-938
    • Sanz-Serna, J.M.1
  • 36
    • 0042725440 scopus 로고    scopus 로고
    • A fast and accurate numerical scheme for the primitive equations of the atmosphere
    • Shen, J. and Wang, W. 1999 A fast and accurate numerical scheme for the primitive equations of the atmosphere. SIAM J. Numer. Anal., 36, 719-737
    • (1999) SIAM J. Numer. Anal. , vol.36 , pp. 719-737
    • Shen, J.1    Wang, W.2
  • 37
    • 0035073329 scopus 로고    scopus 로고
    • A two-time-level semi-Lagrangian global spectral model
    • Temperton, C., Hortal, M. and Simmons, A. 2001 A two-time-level semi-Lagrangian global spectral model. Q. J. R. Meterol. Soc., 127, 111-127
    • (2001) Q. J. R. Meterol. Soc. , vol.127 , pp. 111-127
    • Temperton, C.1    Hortal, M.2    Simmons, A.3
  • 39
    • 27144534139 scopus 로고    scopus 로고
    • 'Parallelization of the NCEP global spectral model'
    • Proceedings of the 8th ECMWF workshop on the use of parallel processors in meteorology. Eds. W. Zwieflhofer and N. Kreitz, World Scientific, London
    • Trémolet, Y. and Sela, J. 1999 'Parallelization of the NCEP global spectral model'. Pp. 109-116 in Towards teracomputing, Proceedings of the 8th ECMWF workshop on the use of parallel processors in meteorology. Eds. W. Zwieflhofer and N. Kreitz, World Scientific, London
    • (1999) Towards Teracomputing , pp. 109-116
    • Trémolet, Y.1    Sela, J.2
  • 40
    • 0035922242 scopus 로고    scopus 로고
    • A semi-Lagrangian high-order method for the Navier-Stokes equations
    • Xiu, D. and Karniadakis, G. E. 2001 A semi-Lagrangian high-order method for the Navier-Stokes equations. J. Comput. Phys., 172, 658-684
    • (2001) J. Comput. Phys. , vol.172 , pp. 658-684
    • Xiu, D.1    Karniadakis, G.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.