A non-hydrostatic global spectral dynamical core using a height-based vertical coordinate
By: Juan Simarro, Víctor Homar and Gonzalo Simarro
References
. Frequency filter for time integrations. Mon. Wea. Rev. 1972; 100: 487– 490. , . An analytic solution for linear gravity waves in a channel as a test for numerical models using the non-hydrostatic. Q.J.R. Meteorol. Soc. 2013. Elementary Differential Geometry. 2010; Cambridge University Press, Cambridge, UK. . Stability of semi-implicit and iterative centered-implicit time discretizations for various equation systems used in NWP. Mon. Wea. Rev. 2003; 131: 2479– 2491. , , , . Stability of leapfrog constant-coefficients semi-implicit schemes for the fully elastic system of Euler equations: flat-terrain case. Mon. Wea. Rev. 2004; 132: 1306– 1318. , , . Stability of leapfrog constant-coefficient semi-implicit schemes for the fully elastic system of Euler equations: case with orography. Mon. Wea. Rev. 2005; 133: 1065– 1075. , , , , , . Dynamical kernel of the Aladin-NH spectral limited-area model: revised formulation and sensitivity experiments. Q.J.R. Meteorol. Soc. 2010; 136: 155– 169. . An efficient, one-level, primitive-equation spectral model. Mon. Wea. Rev. 1972; 100: 683– 689. . A multi-level spectral model. I. Formulation and hemispheric integrations. Mon. Wea. Rev. 1974; 102: 687– 701. . The propagation of groups of internal gravity waves in a shear flow. Q.J.R. Meteorol. Soc. 1966; 92: 466– 480. , , , . Integration of the fully elastic equations cast in the hydrostatic pressure terrain-following coordinate in the framework of the ARPEGE/Aladin NWP system. Mon. Wea. Rev. 1995; 123: 515– 535. , , . Stability of vertical discretization schemes for semi-implicit primitive equation models: theory and application. Mon. Wea. Rev. 1983; 111: 1189– 1207. , , , . Short-term forecasting with a multi-level spectral primitive equation model. Part I: model formulation. Atmosphere. 1976; 14: 98– 116. , , , , , . A new dynamical core for the Met Office's global and regional modelling of the atmosphere. Q.J.R. Meteorol. Soc. 2005; 133: 1759– 1782. , . On the use of a coordinate transformation for the solution of Navier-Stokes. J. Comput. Phys. 1975; 17: 209– 228. , , , , , . Intercomparison of global model precipitation forecast skill in 2010/11 using the SEEPS score. Mon. Wea. Rev. 2012; 140: 2720– 2733. , . Use of reduced Gaussian grids in spectral models. Mon. Wea. Rev. 1991; 119: 1057– 1074. , . A multi-layer spectral model and the semi-implicit method. Q.J.R. Meteorol. Soc. 1975; 101: 637– 655. , , , . Idealized test cases for the dynamical cores of atmospheric general circulation models: a proposal for the NCAR ASP 2008 summer colloquium. 2008. http://esse.engin.umich.edu/admg/publications.php. , . A baroclinic instability test case for atmospheric model dynamical cores. Q.J.R. Meteorol. Soc. 2006; 132: 2943– 2975. . Tensor formulation of the model equations on strong conservation form for an incompressible flow in general coordinates. 2003. Forskningscenter Risoe. Risoe-R, Denmark. ISBN 87-550-3293-1 (Internet). , , , . J. Adv. Model. Earth Syst. 2010; 2: 15– 34. Rotated versions of the Jablonowski steady-state and baroclinic wave test cases: a dynamical core intercomparison. . A vertically Lagrangian finite-volume dynamical core for global models. Mon. Wea. Rev. 2004; 132: 2293– 2307. , . On the contravariant form of the Navier-Stokes equations in time-dependent curvilinear coordinate systems. J. Comput. Phys. 2004; 199: 355– 375. , . The derivation of a terrain-following coordinate system for use in a hydrostatic model. J. Atmos. Sci. 1981; 38: 1707– 1713. , , , , , . Implementation of the semi-Lagrangian method in a high-resolution version of the ECMWF forecast model. Mon. Wea. Rev. 1995; 123: 489– 514. . A stable numerical integration scheme for the primitive meteorological equations. Atmos. Ocean. 1981; 19: 35– 46. , , . An implicit time integration scheme for baroclinic models of the atmosphere. Mon. Wea. Rev. 1972; 100: 329– 335. , , , , , . Nonhydrostatic icosahedral atmospheric model (NICAM) for global cloud resolving simulations. J. Comput. Phys. 2008; 227: 3486– 3514. , , , , . A new terrain-following vertical coordinate formulation for atmospheric prediction models. Mon. Wea. Rev. 2002; 130: 2459– 2480. , , . Incompressible and anelastic flow simulations on numerically generated grids. Mon. Wea. Rev. 1988; 116: 1124– 1136. , . A semi-implicit non-hydrostatic dynamical kernel using finite elements in the vertical discretization. Q.J.R. Meteorol. Soc. 2011, . An energy and angular-momentum conserving vertical finite-difference scheme and hybrid vertical coordinates. Mon. Wea. Rev. 1981; 109: 758– 766. , . Efficiency and accuracy of the Klemp-Wilhelmson time-splitting scheme. Mon. Wea. Rev. 1994; 122: 2623– 2630. , . The deep-atmosphere Euler equations in a generalized vertical coordinate. Mon. Wea. Rev. 2003; 131: 1931– 1938. . On scalar and vector transform methods for global spectral models. Mon. Wea. Rev. 1991; 119: 1303– 1307. , . MCore: a non-hydrostatic atmospheric dynamical core utilizing high order finite volume methods. J. Comput. Phys. 2012; 231: 5078– 5108. , . A framework for testing global non-hydrostatic models. Q.J.R. Meteorol. Soc. 2009; 135: 469– 484. , , , , . A standard test set for numerical approximations to the shallow water equations in spherical geometry. J. Comput. Phys. 1992; 102: 211– 224. . A non-hydrostatic model for simulation of airflow over mesoscale bell-shaped ridges. Boundary-Layer Meteorol. 1993; 65: 401– 424. , . Dynamics of the Atmosphere: A Course in Theoretical Meteorology. 2003; Cambridge University Press, Cambridge, UK..
DOI: https://doi.org/10.3402/tellusa.v65i0.20270 | Journal eISSN: 3035-9554
Language: English
Page range: 20270 - 20270
Submitted on: Dec 13, 2012
Accepted on: May 7, 2013
Published on: Dec 1, 2013
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services
© 2013 Juan Simarro, Víctor Homar, Gonzalo Simarro, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.