An Overview of Numerical Methods for the Next Generation U.K. NWP and Climate Model

References

• Arakawa , A. and Lamb , V. R. 1977 . “ Computational design of the basic dynamical processes of the UCLA general circulation model. ” . In Methods in Comp. Phys Vol. 17 , 174 – 265 . Academic Press .
   Google Scholar
• Arakawa , A. , Lamb , V. R. and Moorthi , S. 1987 . Baroclinic instability in vertically discrete systems . J. Atmos. Sci. , 45 : 1688 – 1707 .
   Web of Science ®Google Scholar
• Bates , J. R. , Semazzi , F. H.M. , Higgins , R. W. and Barros , S. R.M. 1990 . Integration of the shallow water equations on a sphere using a vector semi-Lagrangian scheme with a multigrid solver . Mon. Weather Rev. , 118 : 1615 – 1627 .
   Web of Science ®Google Scholar
• Courtier , P. and Geleyn , J.-F. 1988 . A global numerical weather prediction model with variable resolution: Application to shallow water equations . Q.J.R. Meteorol. Soc. , 114 : 1321 – 1346 .
   Web of Science ®Google Scholar
• Cullen , M. J.P. 1989 . Implicit finite difference methods for modelling discontinuous atmospheric flows . J. Comp. Phys. , 81 : 319 – 348 .
   Web of Science ®Google Scholar
• Cullen , M. J.P. 1993 . The unified forecast/climate model . Meteorol. Mag. , 122 : 81 – 93 .
   Web of Science ®Google Scholar
• Cullen , M. J.P. and Davies , T. 1991 . A conservative split-explicit scheme with fourth order horizontal advection . Q.J.R. Meteorol. Soc. , 117 : 993 – 1002 .
   Web of Science ®Google Scholar
• Dudhia , J. 1993 . A non-hydrostatic version of the Penn State-NCAR mesoscale model: validation tests and simulation of an Atlantic cyclone and cold front . Mon. Weather Rev. , 121 : 1493 – 1513 .
   Web of Science ®Google Scholar
• Fulton , S. R. 1986 . Multigrid methods for elliptic problems: a review . Mon. Weather Rev. , 114 : 943 – 959 .
   Web of Science ®Google Scholar
• Gadd , A. J. 1978 . A split-explicit scheme for numerical weather prediction . Q.J.R. Meteorol. Soc. , 104 : 569 – 582 .
   Web of Science ®Google Scholar
• Golding , B. W. 1992 . An efficient non-hydrostatic forecast model . Meteorol. Atmos. Phys. , 50 : 89 – 103 .
   Web of Science ®Google Scholar
• Golding , B. W. 1993 . A study of the influence of terrain on fog development . Mon. Weather Rev. , 121 : 2529 – 2541 .
   Web of Science ®Google Scholar
• Laprise , R. 1992 . The Euler equations of motion with hydrostatic pressure as an independent variable . Mon. Weather Rev. , 120 : 197 – 207 .
   Web of Science ®Google Scholar
• Leslie , L. M. and Purser , R. J. 1992 . A comparative study of the performance of various vertical discretisation schemes . Meteorol. Atmos. Phys. , 50 : 61 – 73 .
   Web of Science ®Google Scholar
• Morton , K. W. and Sweby , P. K. 1987 . A comparison of flux limited difference methods and characteristic Galerkin methods for shock modelling . J. Comp. phys. , 73 : 203 – 230 .
   Web of Science ®Google Scholar
• Nakamura , N. 1994 . Nonlinear equilibriation of two-dimensional Eady waves: simulations with two-dimensional geostrophic momentum equations . J. Atmos. Sci. , 51 : 1023 – 1035 .
   Web of Science ®Google Scholar
• Nakamura , N. and Held , I. M. 1989 . Nonlinear equilibriation of two-dimensional Eady waves . J. Atmos. Sci. , 46 : 3055 – 3064 .
   Web of Science ®Google Scholar
• Priestley , A. 1993 . A quasi conservative Version of the semi-Lagrangian advection scheme . Mon. Weather Rev. , 121 : 621 – 629 .
   Web of Science ®Google Scholar
• Skamarock , W. C. and Klemp , J. B. 1992 . The stability of time-split numerical methods for the hydrostatic and the non-hydrostatic elastic equations . Mon. Weather Rev. , 120 : 2109 – 2127 .
   Web of Science ®Google Scholar
• Tanguay , M. , Robert , A. and Laprise , R. 1990 . A semi-implicit semi-Lagrangian fully compressible regional forecast model . Mon. Weather Rev. , 118 : 1970 – 1980 .
   Web of Science ®Google Scholar
• White , A. A. and Bromley , R. A. 1995 . Dynamically consistent, quasi-hydrostatic equations for global models with a complete representation of the Coriolis force . Q.J.R. Meteorol. Soc. , 121 : 399 – 418 .
   Web of Science ®Google Scholar
• Williams , R. T. 1967 . Atmospheric frontogenesis: a numerical experiment . J. Atmos. Sci. , 29 : 3 – 10 .
   Google Scholar
• Williamson , D. L. , Drake , J. B. , Hack , J. J. , Jakob , R. and Swarszrauber , P. N. 1992 . A standard test set for numerical approximations to the shallow water equations in spherical geometry . J. Comp. Phys. , 102 : 211 – 224 .
   Web of Science ®Google Scholar
• Williamson , D. L. , Drake , J. B. , Hack , J. J. , Jakob , R. , Swarszrauber , P. N. and Olson , J. G. 1994 . Climate simulations with a semi-Lagrangian version of the NCAR community climate model . Mon. Weather Rev. , 122 : 1594 – 1610 .
   Web of Science ®Google Scholar
• Yamada , T. and Mellor , G. L . 1975 . A simulation of the Wangara atmospheric boundary layer data . J. Atmos. Sci. , 32 : 2309 – 2329 .
   Web of Science ®Google Scholar