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Original Articles

Non-hydrostatic semi-elastic hybrid-coordinate SISL extension of HIRLAM. Part II: numerical testing

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Pages 661-673 | Received 09 Aug 2006, Accepted 19 Mar 2006, Published online: 15 Dec 2016

References

  • Asselin, R. A. 1972. Frequency filter for time integrations. Mon. Wea. Re v. 100,487–490.
  • Baines, P. G. 1995. Topographic Effects in Stratified Flows. Cambridge Univ. Press, 482 pp.
  • Benard, P. 2003. Stability of semi-implicit and iterative centered-implicit time discretization for various equation systems used in NWP. Mon. Wea. Re v. 131, 2479–2491.
  • Benard, P. 2004. On the use of a wider class of linear systems for the design of constant-coefficient semi-implicit time schemes in NWP. Mon. Wea. Re v. 132, 1319–1324.
  • Bouttier, F. 2002. Non-hydrostatic dynamical core intercomparisons, Workshop report of HIRLAM Workshop on Mesoscale Modelling, Dublin 14-16 October 2002,52-60, Available from HIRLAM member institutes or http://hirlam.org/open/publicationsalLworkshops/mesoscaleDublinOct02
  • Bubnova, R., Hello, G., Bernard, P. and Geleyn, J.-F. 1995. Integration of the fully elastic equations cast in the hydrostatic pressure terrain-following coordinate in the framework of APREGE/Aladin NWP system. Mon. Wea. Re v. 123, 515–535.
  • Davies, H. C. 1976. A lateral boundary formulation for multilevel prediction models. Q. J. R. Meteorol. Soc. 102,405–418.
  • Girard, C., Benoit, R. and Desgagne, M. 2005. Finescale topography and the MC2 dynamics kernel. Mon. Wea. Re v. 133, 1463–1477.
  • Ikawa, M. and Saito, K. 1991. Description of a nonhydrostatic model developed at the Forecast Research Department of the MRI. Technical Reports of the MRI, 28, 238 pp.
  • Klemp, J. B., Skamarock, W. C. and Fuhrer, O. 2003. Numerical consistency of metric terms in terrain-following coordinates. Mon. Wea. Re v. 131, 1229–1239.
  • Laprise, R., 1992. The Euler equations of motion with hydrostatic pressure as an independent variable. Mon. Wea. Re v. 120, 197–207.
  • Laprise R. and Peltier, W. R. 1989. On the structural characteristics of steady finite-amplitude mountain waves over bell-shaped topography. J. Atmos. Sc i. 46, 586–595.
  • Männilc, A. 2003. Implementation and validation of the nonhydro-static adiabatic core of the numerical weather prediction model HIRLAM. Dissertationes Geophysicales Universitatis Tartuensis, pp. 88.
  • Männilc, A. and Room, R. 2001. Non-hydrostatic adiabatic kernel for HIRLAM. PartAnelastic, hybrid-coordinate, explicit-Eulerian model. HIRLAIVI Technical Report, 49, p. 54 Available from the HIRLAM member institutes or http://hirlam.org/open/publications/TechReports/T’R49ab.html
  • Männilc, A., Room, R. and Luhamaa, A. 2003. Nonhydrostatic generalization of a pressure-coordinate-based hydrostatic model with implementation in HIRLAM: validation of adiabatic core. Tellus 55A, 219–231.
  • McDonald, A. 1999. An examination of alternative extrapolations to find the departure point position in a ‘two-time-level’ semi-Lagrangian integration. Mon. Wea. Re v. 127, 1985–1993.
  • McDonald A. and Haugen, J.-E. 1993. A two-time-level, three-dimensional, semi-Lagrangian, semi-implicit, limited-area gridpoint model of the primitive equations. Part Extension to hybrid vertical coordinates. Mon. Wea. Re v. 121, 2077–2087.
  • Miller, M. J. 1974. On the use of pressure as vertical co-ordinate in modelling convection. Q. J. R. MeteoroL Soc. 100, 155–162.
  • Miller, M. J. and Pearce, R. P. 1974. A three-dimensional primitive equation model of cumulonimbus convection. Q. J. R. MeteoroL Soc. 100, 133–154.
  • Miller, M. J. and White, A. A. 1984. On the nonhydrostatic equations in pressure and sigma coordinates. Q. J. R. MeteoroL Soc. 110, 515–533.
  • Nance, L. B. and Durran, D. 1998. A modelling study of nonstationary trapped lee waves. Part II: Nonlinearity. J. Atmos. Sc i. 55, 1429–1445.
  • 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. Wea. Re v. 123, 3042–3058.
  • Ritchie, H., Temperton, C., Simmons, A., Hortal, M., Davies, T., and co-authors. 1995. Implementation of the Semi-Lagrangian method in a high-resolution version of the ECMWF forecast model.Mon. Wea. Rev. 123, 489-514.
  • Richie, H. and Tanguay, M. 1996. A comparison of spatially averaged Eulerian and Lagrangian treatments of mountains. Mon. Wea. Re v. 124, 167–181.
  • Robert, A. 1969. The integration of a spectral model of the atmosphere by the implicit method.Proc. WMO/IUGG Symposium on NWP, Japan Meteorological Society, Tolcio, Japan, 19-24.
  • Room, R. and Männilc, A. 1999. Response of different nonhydrostatic, pressure-coordinate models to orographic forcing. J. Atmos. Sc i. 56, 2553–2570.
  • Room, R., Männilc, A. and Luhamaa, A. 2006. Non-hydrostatic, semi-Lagrangian, semi-implicit adiabatic kernel for HIRLAM. Part I: numerical scheme. Tellus, in press.
  • Room, R. and Zirk, M. 2007. Amplitude factorization method in the atmospheric gravitywave equation. Communications in Computational Physics. 2, 993–1006.
  • Schär, C., Leuenberger, D., Furher, O., Liithi, D. and Girard, C. 2002. A new terrain-following vertical coordinate formulation for atmospheric prediction models. Mon. Wea. Re v. 130 2459–2480.
  • Shuns, G. and Broad, A. 1993. A case study of lee waves over the Lake District in northern England. Q. J. R. Meteord. Soc. 119,377–409.
  • Simmons, A. J., Hoskins, B. J. and Burridge, D. M. 1978. Stability of the semi—implicit method of time integration. Mon. Wea. Re v. 106, 405–412.
  • Tanguay, M., Robert, A. and Laprise, R. 1990. A semi—implicit semi—Lagrangian fully compressible regional model. Mon. Wea. Re v. 118, 1970–1980.
  • Unden, P., Rontu, L., Järvinen, H., Lynch, P., Calvo, J., and co-authors. 2002. HIRLAM-5 Scientific Documentation, HIRLAIVI-5 Project, do Per Undén SMHI, S-60I 76 Norrkoping, SWEDEN, 144 p. Available from the HIRLAM member institutes or http://hirlam.org/open/publications/SciDoc_Dec2002.pdf
  • White, A. A. 1989. An extended version of nonhydrostatic, pres-sure coordinate model. Q. J. R. MeteoroL Soc. 115, 1243–1251.