## Summary table: Numeric II: Spatial discretisation

momentum equations | scalar quantities | additional information | |
---|---|---|---|

ADREA | For the numerical solution, the SIMPLER/ADREA algorithm is used, based on the SIMPLER algorithm given in Patankar, (1980). The mixture mass conservation equation is turned to a full pressure (Poisson) including the transient term. Pressure correc-tion is avoided. Under-relaxation factors are also avoided. | ||

ALADIN/A | spectral | ||

ALADIN/PL | spectral | ||

ARPS | 2nd or 4th order finite differencing, or else Zalesak's scheme (monotonic) | id. | |

BOLCHEM | |||

CALMET/CALPUFF | |||

CALMET/CAMx | |||

CLM | Second-order finite differences | Second-order finite differences | |

COSMO-2 | grid point method with finite difference approximation | grid point method with finite difference approximation | |

COSMO-7 | grid point method with finite difference approximation | grid point method with finite difference approximation | |

COSMO-CLM | Second-order finite differences | Second-order finite differences | |

COSMO-MUSCAT | Second-order centered finite differences | Second-order centered finite differences | |

ENVIRO-HIRLAM | |||

GEM-AQ | |||

GESIMA | McCormack scheme (predictor/corrector) with alternating upstream/downstream discretization | Smolarkiewicz-Scheme | vertical diffusion terms semi-implicit; implicit pressure gradient terms by solving a Helmholtz-Equation with preconditioned conjugate gradient method |

GME | on icosahedral grid following Baumgardner (1983) | on icosahedral grid following Baumgardner (1983) | |

Hirlam | |||

LAMI | grid point method with finite difference approximation | grid point method with finite difference approximation | |

LME | grid point method with finite difference approximation | grid point method with finite difference approximation | |

LME_MH | centered differences | centered differences | |

M-SYS | centered differences or (W)ENO | upstream or (W)ENO | values interpolated to other grid points by linear or higher order interpolation |

MC2-AQ | The discretization of the space derivatives is by finite differences on a grid staggered in the three dimensions. This arrangement is known as a Arakawa C-grid for the horizontal and a Tokioka B-grid for the vertical. The center of the elementary matrix is the pressure surrounded horizontally by U and V, and surrounded vertically by w, W and the scalars. | ||

MCCM | see MM5 online tutorial | see MM5 online tutorial | |

MEMO (UoT-GR) | The conservation equations for mass, momentum, are solved. | The conservation equations for scalar quantities as potential temperature, turbulent kinetic energy and specific humidity are solved. | Fast elliptic solver, which is based on fast Fourier analysis in both horizontal directions and Gaussian elimination in the vertical direction. |

MEMO (UoA-PT) | please refer to the techical reference. | Includes thermal energy, water vapour, turbulent kinetic energy and polutant concentrations. For more details, please refer to the technical reference. | |

MERCURE | finite volume, cell centered | idem | possibility to use different cell elements (tetrahedral, hexahedral...) |

METRAS | centered differences or (W)ENO | upstream or (W)ENO | centered differences; values interpolated to other grid points by linear or higher order interpolation |

METRAS-PCL | |||

MM5 (UoA-GR) | please check te on-line tutorial | please check te on-line tutorial | |

MM5 (UoA-PT) | please check the on-line tutorial | please check the on-line tutorial | |

MM5 (UoH-UK) | For time integration, time-splitting scheme is used on fast terms, forward step is used for diffusion and microphysics. Some radiation and cumulus options use a constant tendency over periods of many model timesteps and are only recalculated every 30 minutes or so. | ||

MM5(GKSS-D) | |||

Meso-NH | 2nd order or 4th centred advection scheme | 2nd order or 4th positive definite advection scheme (PPM) | |

NHHIRLAM | |||

RAMS | See: http://www.atmet.com/html/docs/rams/rams_techman.pdf | See: http://www.atmet.com/html/docs/rams/rams_techman.pdf | See: http://www.atmet.com/html/docs/rams/rams_techman.pdf |

RCG | |||

SAIMM | |||

TAPM | |||

UM | Semi-Lagrangian, non-interpolating in vertical. Eulerian continuity at present. | Semi-Lagrangian with monotone option and mass correction. | non-uniform horizontal grid under test. |

WRF-ARW | |||

WRF/Chem | For details check references |

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