DYNAMICO, an icosahedral hydrostatic dynamical core designed for consistency and versatility
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Thomas Dubos | Rashmi Mittal | S. Dubey | M. Tort | Y. Meurdesoif | F. Hourdin | Y. Meurdesoif | T. Dubos | R. Mittal | S. Dubey | M. Tort | F. Hourdin
[1] Thomas Dubos,et al. Dynamically consistent shallow‐atmosphere equations with a complete Coriolis force , 2013 .
[2] Jerrold E. Marsden,et al. The Euler-Poincaré Equations in Geophysical Fluid Dynamics , 1999, chao-dyn/9903035.
[3] R. Easter. Two Modified Versions of Bott's Positive-Definite Numerical Advection Scheme , 1993 .
[4] B. Vanleer,et al. Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection , 1977 .
[5] A. Arakawa,et al. A Potential Enstrophy and Energy Conserving Scheme for the Shallow Water Equations , 1981 .
[6] Colin J. Cotter,et al. A Framework for Mimetic Discretization of the Rotating Shallow-Water Equations on Arbitrary Polygonal Grids , 2012, SIAM J. Sci. Comput..
[7] Mark A. Taylor,et al. A STANDARD TEST CASE SUITE FOR TWO-DIMENSIONAL LINEAR TRANSPORT ON THE SPHERE: RESULTS FROM A COLLECTION OF STATE-OF-THE-ART SCHEMES , 2013 .
[8] Qiang Du,et al. Centroidal Voronoi Tessellations: Applications and Algorithms , 1999, SIAM Rev..
[9] Hirofumi Tomita,et al. Shallow water model on a modified icosahedral geodesic grid by using spring dynamics , 2001 .
[10] James Kent,et al. Dynamical core model intercomparison project: Tracer transport test cases , 2014 .
[11] P. Ripa. Conservation laws for primitive equations models with inhomogeneous layers , 1993 .
[12] Vladimir Igorevich Arnold,et al. Conditions for nonlinear stability of stationary plane curvilinear flows of an ideal fluid , 1965 .
[13] H. Miura. An Upwind-Biased Conservative Advection Scheme for Spherical Hexagonal–Pentagonal Grids , 2007 .
[14] R. Sadourny. Conservative Finite-Difference Approximations of the Primitive Equations on Quasi-Uniform Spherical Grids , 1972 .
[15] Thomas Dubos,et al. Held‐Suarez simulations with the Community Atmosphere Model Spectral Element (CAM‐SE) dynamical core: A global axial angular momentum analysis using Eulerian and floating Lagrangian vertical coordinates , 2014 .
[16] J. Smagorinsky,et al. GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .
[17] Akio Arakawa,et al. Integration of the Nondivergent Barotropic Vorticity Equation with AN Icosahedral-Hexagonal Grid for the SPHERE1 , 1968 .
[18] Frédéric Hourdin,et al. On the inter-comparison of two tracer transport schemes on icosahedral grids , 2015 .
[19] Günther Zängl,et al. The ICON-1.2 hydrostatic atmospheric dynamical core on triangular grids – Part 1: Formulation and performance of the baseline version , 2013 .
[20] Almut Gassmann. Inspection of hexagonal and triangular C-grid discretizations of the shallow water equations , 2011, J. Comput. Phys..
[21] J. Thuburn,et al. Numerical wave propagation on the hexagonal C-grid , 2008, J. Comput. Phys..
[22] S. Bony,et al. LMDZ5B: the atmospheric component of the IPSL climate model with revisited parameterizations for clouds and convection , 2013, Climate Dynamics.
[23] Almut Gassmann,et al. A global hexagonal C‐grid non‐hydrostatic dynamical core (ICON‐IAP) designed for energetic consistency , 2013 .
[24] F. Bouchut,et al. Consistent shallow-water equations on the rotating sphere with complete Coriolis force and topography , 2014, Journal of Fluid Mechanics.
[25] D. Williamson,et al. A baroclinic instability test case for atmospheric model dynamical cores , 2006 .
[26] M. Giorgetta,et al. Icosahedral Shallow Water Model (ICOSWM): results of shallow water test cases and sensitivity to model parameters , 2009 .
[27] Rick Salmon. Poisson-Bracket Approach to the Construction of Energy- and Potential-Enstrophy- Conserving Algorithms for the Shallow-Water Equations , 2004 .
[28] Mark A. Taylor,et al. A standard test case suite for two-dimensional linear transport on the sphere , 2012 .
[29] Masaki Satoh,et al. Nonhydrostatic icosahedral atmospheric model (NICAM) for global cloud resolving simulations , 2008, J. Comput. Phys..
[30] Thomas Dubos,et al. Usual Approximations to the Equations of Atmospheric Motion: A Variational Perspective , 2014 .
[31] John K. Dukowicz,et al. Accurate conservative remapping (rezoning) for arbitrary Lagrangian-Eulerian computations , 1987 .
[32] Christiane Jablonowski,et al. Rotated Versions of the Jablonowski Steady‐State and Baroclinic Wave Test Cases: A Dynamical Core Intercomparison , 2010 .
[33] Frédéric Hourdin,et al. The Use of Finite-Volume Methods for Atmospheric Advection of Trace Species. Part I: Test of Various Formulations in a General Circulation Model , 1999 .
[34] William C. Skamarock,et al. Numerical representation of geostrophic modes on arbitrarily structured C-grids , 2009, J. Comput. Phys..
[35] René Laprise,et al. The Euler Equations of Motion with Hydrostatic Pressure as an Independent Variable , 1992 .
[36] Emmanuel Audusse,et al. A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows , 2004, SIAM J. Sci. Comput..
[37] Onno Bokhove,et al. Eulerian variational principles for stratified hydrostatic equations , 2002 .
[38] R. Sadourny. The Dynamics of Finite-Difference Models of the Shallow-Water Equations , 1975 .
[39] William C. Skamarock,et al. A unified approach to energy conservation and potential vorticity dynamics for arbitrarily-structured C-grids , 2010, J. Comput. Phys..
[40] T. Ringler,et al. Analysis of Discrete Shallow-Water Models on Geodesic Delaunay Grids with C-Type Staggering , 2005 .
[41] Rémi Abgrall,et al. Physics-compatible numerical methods , 2014, J. Comput. Phys..
[42] M. Suárez,et al. A proposal for the intercomparison of the dynamical cores of atmospheric general circulation models , 1994 .
[43] Frédéric Hourdin,et al. Superrotation of Venus' atmosphere analyzed with a full general circulation model , 2010 .
[44] D. Williamson. The Evolution of Dynamical Cores for Global Atmospheric Models(125th Anniversary Issue of the Meteorological Society of Japan) , 2007 .
[45] Colin J. Cotter,et al. A finite element exterior calculus framework for the rotating shallow-water equations , 2012, J. Comput. Phys..
[46] R.. Practical use of Hamilton ’ s principle , 2005 .
[47] William G. Gray,et al. One step integration methods with maximum stability regions , 1984 .
[48] Christiane Jablonowski,et al. Angular momentum budget in General Circulation Models of superrotating atmospheres: A critical diagnostic , 2012 .
[49] Hiroaki Miura,et al. A Comparison of Grid Quality of Optimized Spherical Hexagonal–Pentagonal Geodesic Grids , 2005 .
[50] Todd D. Ringler,et al. A Multiscale Nonhydrostatic Atmospheric Model Using Centroidal Voronoi Tesselations and C-Grid Staggering , 2012 .
[51] John M. Gary,et al. Estimate of Truncation Error in Transformed Coordinate, Primitive Equation Atmospheric Models , 1973 .
[52] Qiang Du,et al. Convergence of the Lloyd Algorithm for Computing Centroidal Voronoi Tessellations , 2006, SIAM J. Numer. Anal..
[53] William C. Skamarock,et al. Conservative Transport Schemes for Spherical Geodesic Grids: High-Order Flux Operators for ODE-Based Time Integration , 2011 .
[54] A. Simmons,et al. An Energy and Angular-Momentum Conserving Vertical Finite-Difference Scheme and Hybrid Vertical Coordinates , 1981 .
[55] Colin J. Cotter,et al. A mimetic, semi-implicit, forward-in-time, finite volume shallow water model: comparison of hexagonal-icosahedral and cubed-sphere grids , 2013 .
[56] William Skamarock,et al. Monotonic Limiters for a Second-Order Finite-Volume Advection Scheme Using Icosahedral-Hexagonal Meshes , 2010 .
[57] Colin J. Cotter,et al. Computational Modes and Grid Imprinting on Five Quasi-Uniform Spherical C Grids , 2012 .
[58] William G. Gray,et al. One step integration methods of third-fourth order accuracy with large hyperbolic stability limits , 1984 .
[59] Thomas Dubos,et al. Equations of Atmospheric Motion in Non-Eulerian Vertical Coordinates: Vector-Invariant Form and Quasi-Hamiltonian Formulation , 2014 .
[60] V. I. Arnold. Conditions for nonlinear stability of plane steady curvilinear flows of an ideal fluid , 1965 .
[61] Mark A. Taylor,et al. A compatible and conservative spectral element method on unstructured grids , 2010, J. Comput. Phys..
[62] Charles S. Peskin,et al. On the construction of the Voronoi mesh on a sphere , 1985 .
[63] A. Arakawa. Computational design for long-term numerical integration of the equations of fluid motion: two-dimen , 1997 .
[64] Rupert Klein,et al. Well balanced finite volume methods for nearly hydrostatic flows , 2004 .
[65] Thomas Dubos,et al. Energy‐conserving finite‐difference schemes for quasi‐hydrostatic equations , 2015 .
[66] A. White,et al. Dynamically consistent, quasi-hydrostatic equations for global models with a complete representation of the Coriolis force , 1995 .
[67] R. Sadourny,et al. Compressible Model Flows on the Sphere. , 1975 .
[68] Caskey,et al. GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS I . THE BASIC EXPERIMENT , 1962 .