Summary table: Numeric II: Spatial discretisation

momentum equationsscalar quantitiesadditional information
ADREAFor 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/Aspectral
ALADIN/PLspectral
ARPS2nd or 4th order finite differencing, or else Zalesak's scheme (monotonic)id.
BOLCHEM
CALMET/CALPUFF
CALMET/CAMx
CLMSecond-order finite differencesSecond-order finite differences
COSMO-2grid point method with finite difference approximationgrid point method with finite difference approximation
COSMO-7grid point method with finite difference approximationgrid point method with finite difference approximation
COSMO-CLMSecond-order finite differencesSecond-order finite differences
COSMO-MUSCATSecond-order centered finite differencesSecond-order centered finite differences
ENVIRO-HIRLAM
GEM-AQ
GESIMAMcCormack scheme (predictor/corrector) with alternating upstream/downstream discretizationSmolarkiewicz-Schemevertical diffusion terms semi-implicit; implicit pressure gradient terms by solving a Helmholtz-Equation with preconditioned conjugate gradient method
GMEon icosahedral grid following Baumgardner (1983)on icosahedral grid following Baumgardner (1983)
Hirlam
LAMIgrid point method with finite difference approximationgrid point method with finite difference approximation
LMEgrid point method with finite difference approximationgrid point method with finite difference approximation
LME_MHcentered differencescentered differences
M-SYScentered differences or (W)ENOupstream or (W)ENOvalues interpolated to other grid points by linear or higher order interpolation
MC2-AQThe 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.
MCCMsee MM5 online tutorialsee 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.
MERCUREfinite volume, cell centeredidempossibility to use different cell elements (tetrahedral, hexahedral...)
METRAScentered differences or (W)ENOupstream or (W)ENOcentered differences; values interpolated to other grid points by linear or higher order interpolation
METRAS-PCL
MM5 (UoA-GR)please check te on-line tutorialplease check te on-line tutorial
MM5 (UoA-PT)please check the on-line tutorialplease 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-NH2nd order or 4th centred advection scheme2nd order or 4th positive definite advection scheme (PPM)
NHHIRLAM
RAMSSee: http://www.atmet.com/html/docs/rams/rams_techman.pdfSee: http://www.atmet.com/html/docs/rams/rams_techman.pdfSee: http://www.atmet.com/html/docs/rams/rams_techman.pdf
RCG
SAIMM
TAPM
UMSemi-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/ChemFor details check references
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