The Formulation of the André Robert MC² (Mesoscale Compressible Community) Model

References

• Asselin , R. A. 1972 . Frequency filter for time integrations . Mon. Weather Rev. , 100 : 487 – 490 .
   Web of Science ®Google Scholar
• Ben Hadj Tahar , N. 1992 . Introduction d'une grille variable dans un modèle atmosphérique non hydrostatique 100 Atmos. Sci., Physics Dept., UQAM . M. Sc. Thesis
   Google Scholar
• Benoit , R. , Pellerin , P. , Mailhot , J. and Lee , V. 1994a . Modelling of late spring intense orographic precipitation over the Canadian portion of the Columbia River basin. 6th AMS Conf. on mesoscale processes, 18–22 July 1994 583 – 586 . Portland, Oregon
   Google Scholar
• Benoit , R. , Pellerin , P. , Mailhot , J. , Lee , V. , Desgagné , M. and Chartier , Y. 1994b . A real-time very-high resolution forecast model for the field phase of the Beaufort and Arctic Storms Experiment (BASE). 10th AMS Conference on Numerical Weather Prediction, 18–22 July 1994 451 – 453 . Portland, Oregon
   Google Scholar
• Bergeron , G. , Laprise , R. and Caya , D. 1994 . The numerical formulation of MC², the mesoscale community compressible model 165 (CCRM report, available at the corresponding author's address).
   Google Scholar
• Caya , D. , Laprise , R. , Giguère , M. , Bergeron , G. , Blanchet , J.-P. , Stocks , B. J. , Boer , G. J. and Mcfarlane , N. A. 1995a . Description of the Canadian RCM. IBFRA Report, Saskatoon Vol. 82 , 477 – 482 . Water, Air and Soil Pollution . 1994.
   Google Scholar
• Caya , D. , Laprise , R. , Giguère , M. , Bergeron , G. , Blanchet , J.-P. , Stocks , B. J. , Boer , G. J. and Mcfarlane , N. A. 1995b . “ Preliminary results of a two-month simulation of the Canadian RCM. ” . In Research Activities in Atmospheric and Oceanic Modelling , WMO/TD—No. 665, Report No. 21 7.3 – 7.5 .
   Google Scholar
• Davies , H. C. 1976 . A lateral boundary formulation for multi-level prediction models . Q. J. R. Meteorol. Soc. , 102 : 405 – 418 .
   Web of Science ®Google Scholar
• Denis , B. 1990 . Introduction de la topographie dans un modèle atmosphérique non hydrostatique 121 Atmos. Sci., Physics Dept., UQAM . M. Sc. Thesis, (available at the corresponding author's address).
   Google Scholar
• Gal-chen , T. and Somerville , R. 1975 . On the use of a coordinate transformation for the solution of the Navier-Stokes equations . J. Comput. Phys. , 17 ( 2 ) : 209 – 228 .
   Web of Science ®Google Scholar
• Gyakum , J. R. , Carrera , M. , Zhanc , D.-L. , Miller , S. , Caveen , J. , Benoit , R. , Black , T. , Buzzi , A. , Chouimaro , C. , Fantini , M. , Folloni , C. , Katzfev , J. J. , Kuo , Y.-H. , Lalaurette , F. , Low-ham , S. , Mailhot , J. , Malcuzzi , P. , Mcgregor , J. L. , Nakamura , M. , Tripoli , G. and Wilson , C. 1996 . A regional model intercomparison using a case of explosive oceanic cyclogenesis . Weather Forecast. , 11 : 521 – 543 .
   Web of Science ®Google Scholar
• Haltiner , G. J. and Williams , R. T. 1980 . Numerical Prediction and Dynamic Meteorology 477 John Wiley and Sons .
   Google Scholar
• Héreil , P. 1993 . Sensibilité de la solution d'ondes de relief au choix du pas de temps dans un modéle non hydrostatique semi-implicite semi-lagrangien 39 Université Paul-Sabatier . D.E.A. Report directed by R. Laprise, (available at the corresponding author's address).
   Google Scholar
• Héreil , P. and Laprise , R. 1995 . Sensitivity of internal gravity wave solutions to the timestep of a semi-implicit semi-Lagrangian non-hydrostatic model . Mon. Weather Rev. , 124 ( 4 ) : 972 – 999 .
   Google Scholar
• Kasahara , A. 1974 . Various vertical coordinate systems used for numerical weather prediction . Mon. Weather Rev. , 102 : 507 – 522 .
   Web of Science ®Google Scholar
• Larocque , Y. 1995 . “ Étude d'un écoulement d'un fluide autour d'un cylindre circulaire à l'aide d'un modèle numérique aux équations de Navier-Stokes. M. Sc. Thesis, Atmos. Sci., Physics Dept. ” . In UQAM 84
   Google Scholar
• Mailhot , J. , Chouinard , C. , Benoit , R. , Roch , M. , Verner , G. , CÔTÉ , J. and Pudykiewicz , J. 1989 . Numerical forecasting of winter coastal storms during CASP: Evaluation of the Regional Finite-Element Model . ATMOSPHERE-OCEAN , 27 ( 1 ) : 24 – 58 .
   Web of Science ®Google Scholar
• Mcfarlane , N. A. , Boer , G. J. , Blanchet , J.-P. and Lazare , M. 1992 . The Canadian Climate Centre second generation General Circulation Model and its equilibrium climate . J. Clim. , 5 ( 10 ) : 1013 – 1044 .
   Web of Science ®Google Scholar
• Ménard , S. 1994 . Étude de l'écoulement dans le bassin annulaire de laboratoire à l'aide du nouveau modèle numérique UQAM 80 Atmos. Sci., Physics Dept., UQAM . M. Sc. Thesis
   Google Scholar
• Peaceman , D. W. and Rachford , H. H. 1955 . The numerical solution of parabolic and elliptic differential equations . SIAM , 3 ( 1 ) : 28 – 41 .
   Google Scholar
• Pellerin , P. 1992 . Validation d'un nouveau modèle numérique basé sur les équations d'Euler (modèle UQAM de convection) 79 Atmos. Sci., Physics Dept., UQAM . M. Sc. Thesis
   Google Scholar
• Pellerin , P. , Laprise , R. and Zawadzki , I. 1995a . Semi-Lagrangian solutions to the advection-condensation problem . Mon. Weather Rev. , 123 ( 11 ) : 3318 – 3330 .
   Web of Science ®Google Scholar
• Pellerin , P. , Zawadzki , I. and Laprise , R. 1995b . Comparison between downward convection produced in laboratory and that simulated by a numerical model . Bull. Can. Meteorol. Oceanogr. Soc. , 23 ( 2/3 ) : 3 – 6 .
   Google Scholar
• Phillips , N. A. 1966 . The equations of motion for a shallow rotating atmosphere and the “traditional approximation.” . Mon. Weather Rev. , 23 : 626 – 628 .
   Google Scholar
• Pinty , J.-P. , Benoit , R. , Richard , E. and Laprise , R. 1995 . Simple tests of a semi-implicit semi-Lagrangian model on 2D mountain wave problems . Mon. Weather Rev. , 123 ( 10 ) : 3042 – 3058 .
   Web of Science ®Google Scholar
• Rivals , H. 1993 . Validation d'un modèle non hydrostatique semi-implicite semi-lagrangien par des simulations d'ondes de relief. D.E.A. Report directed by R. Laprise 32 Université Paul-Sabatier . (available at the corresponding author's address).
   Google Scholar
• Rivest , C. , Staniforth , A. and Robert , A. 1994 . Spurious resonant response of semi-Lagmngian discretizations to orographic forcing: diagnosis and solution . Mon. Weather Rev. , 122 : 366 – 376 .
   Web of Science ®Google Scholar
• Robert , A. 1993 . Bubble convection experiments with a semi-implicit formulation of the Euler equations . J. Atmos. Sci. , 50 ( 13 ) : 1865 – 1873 .
   Web of Science ®Google Scholar
• Robert , A. 1981 . A stable numerical integration scheme for the primitive meteorological equations . ATMOSPHERE-OCEAN , 19 : 319 – 325 .
   Google Scholar
• Robert , A. 1982 . A semi-implicit and semi-Lagrangian numerical integration scheme for the primitive meteorological equations . J. Meteorol. Soc. Jpn. , 60 : 319 – 325 .
   Web of Science ®Google Scholar
• Robert , A. , Yee , T. L. and Ritchie , H. 1985 . A semi-Lagrangian and semi-implicit numerical integration scheme for multilevel atmospheric models . Mon. Weather Rev. , 113 : 388 – 394 .
   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 ( 10 ) : 1970 – 1980 .
   Web of Science ®Google Scholar
• Tanguay , M. , Yakimiv , E. , Ritchie , H. and Robert , A. 1992 . Advantages of spatial averaging in semi-implicit semi-Lagrangian schemes . Mon. Weather Rev. , 120 ( 1 ) : 115 – 123 .
   Web of Science ®Google Scholar
• Tremblay , A. 1994 . Simulations of the 14 July 1987 squall line using a fully compressible model . ATMOSPHERE-OCEAN , 32 ( 3 ) : 567 – 603 .
   Web of Science ®Google Scholar
• Yakimiw , E. and Robert , A. 1990 . Validation experiments for a nested grid-point regional forecast model . ATMOSPHERE-OCEAN , 28 ( 4 ) : 466 – 472 .
   Web of Science ®Google Scholar
• Zawadzki , I. , Ostiguy , L. and Laprise , R. 1993 . Retrieval of the Microphysical Properties in a CASP Storm by Integration of a Numerical Kinematic Model . ATMOSPHERE-OCEAN , 31 ( 2 ) : 201 – 233 .
   Web of Science ®Google Scholar