A two‐time‐level semi‐Lagrangian global spectral model

A three-time-level semi-Lagrangian global spectral model was introduced operationally at the European Centre for Medium-Range Weather Forecasts in 1991. This paper first documents some later refinements to the three-time-level scheme, and then describes its conversion to a two-time-level scheme. Experimental results are presented to show that the two-time-level scheme maintains the accuracy of its three-time-level predecessor, while being considerably more computationally efficient.

[1]  A. Robert A Semi-Lagrangian and Semi-Implicit Numerical Integration Scheme for the Primitive Meteorological Equations , 1982 .

[2]  J. R. Bates,et al.  Improving the Estimate of the Departure Point Position in a Two-Time Level Semi-Lagrangian and Semi-Implicit Scheme , 1987 .

[3]  Jean Côté,et al.  A Two-Time-Level Semi-Lagrangian Semi-implicit Scheme for Spectral Models , 1988 .

[4]  André Robert,et al.  A stable numerical integration scheme for the primitive meteorological equations , 1981 .

[5]  A. Staniforth,et al.  The Operational CMC–MRB Global Environmental Multiscale (GEM) Model. Part I: Design Considerations and Formulation , 1998 .

[6]  Jean-François Mahfouf,et al.  The representation of soil moisture freezing and its impact on the stable boundary layer , 1999 .

[7]  M. Tiedtke,et al.  Representation of Clouds in Large-Scale Models , 1993 .

[8]  Vladimir A Alexeev,et al.  A Study of the Spurious Orographic Resonance in Semi-Implicit Semi-Lagrangian Models , 2000 .

[9]  André Robert,et al.  Spurious Resonant Response of Semi-Lagrangian Discretizations to Orographic Forcing: Diagnosis and Solution , 1994 .

[10]  A. J. Simmons,et al.  Stability of a Two-Time-Level Semi-Implicit Integration Scheme for Gravity Wave Motion , 1997 .

[11]  J. Bates,et al.  Forecast Experiments with a Global Finite-Difference Semi-Lagrangian Model , 1996 .

[12]  Mats Hamrud,et al.  Impact of model resolution and ensemble size on the performance of an Ensemble Prediction System , 1998 .

[13]  Harold Ritchie,et al.  Advantages of Spatial Averaging in Semi-implicit Semi-Lagrangian Schemes , 1992 .

[14]  H. Ritchie,et al.  A Comparison of Spatially Averaged Eulerian and Semi-Lagrangian Treatments of Mountains , 1996 .

[15]  Shrinivas Moorthi,et al.  NWP Experiments with a Gridpoint Semi-Lagrangian Semi-ImplicitGlobal Model at NCEP , 1997 .

[16]  A. Simmons,et al.  Implementation of the Semi-Lagrangian Method in a High-Resolution Version of the ECMWF Forecast Model , 1995 .

[17]  François Lott,et al.  A new subgrid‐scale orographic drag parametrization: Its formulation and testing , 1997 .

[18]  Rodolfo Bermejo,et al.  The Conversion of Semi-Lagrangian Advection Schemes to Quasi-Monotone Schemes , 1992 .

[19]  N. Gustafsson,et al.  A comparison of the HIRLAM gridpoint and spectral semi-Lagrangian models , 1996 .

[20]  A. Staniforth,et al.  The Operational CMC–MRB Global Environmental Multiscale (GEM) Model. Part II: Results , 1998 .

[21]  Achi Brandt,et al.  A global shallow‐water numerical model based on the semi‐lagrangian advection of potential vorticity , 1995 .

[22]  Jan Erik Haugen,et al.  A Two Time-Level, Three-Dimensional, Semi-Lagrangian, Semi-implicit, Limited-Area Gridpoint Model of the Primitive Equations. Part II: Extension to Hybrid Vertical Coordinates , 1993 .

[23]  Adrian Simmons,et al.  Use of Reduced Gaussian Grids in Spectral Models , 1991 .

[24]  Philippe Courtier,et al.  A pole problem in the reduced Gaussian grid , 1994 .

[25]  Mariano Hortal,et al.  The development and testing of a new two‐time‐level semi‐Lagrangian scheme (SETTLS) in the ECMWF forecast model , 2002 .

[26]  J. Haugen,et al.  A Two-Time-Level, Three-Dimensional Semi-Lagrangian, Semi-implicit, Limited-Area Gridpoint Model of the Primitive Equations , 1992 .

[27]  Jean Côté,et al.  A Generalized Family of Schemes that Eliminate the Spurious Resonant Response of Semi-Lagrangian Schemes to Orographic Forcing , 1995 .