Towards a consistent numerical compressible non-hydrostatic model using generalized Hamiltonian tools
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journal
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July 2008 |
Optimization-based limiters for the spectral element method
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journal
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June 2014 |
A General Method for Conserving Energy and Potential Enstrophy in Shallow-Water Models
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journal
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February 2007 |
The DOE E3SM Coupled Model Version 1: Overview and Evaluation at Standard Resolution
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journal
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July 2019 |
Poisson-Bracket Approach to the Construction of Energy- and Potential-Enstrophy-Conserving Algorithms for the Shallow-Water Equations
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August 2004 |
Various Vertical Coordinate Systems Used for Numerical Weather Prediction
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July 1974 |
Energy and Numerical Weather Prediction
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journal
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November 1960 |
Dispersion analysis of the spectral element method
- Melvin, Thomas; Staniforth, Andrew; Thuburn, John
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Quarterly Journal of the Royal Meteorological Society, Vol. 138, Issue 668
https://doi.org/10.1002/qj.1906
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journal
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February 2012 |
Support-Operator Finite-Difference Algorithms for General Elliptic Problems
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April 1995 |
Direct Discretization of Planar Div-Curl Problems
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February 1992 |
An Overview of the Atmospheric Component of the Energy Exascale Earth System Model
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August 2019 |
A global hexagonal C-grid non-hydrostatic dynamical core (ICON-IAP) designed for energetic consistency
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June 2012 |
The Parabolic Spline Method (PSM) for conservative transport problems
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January 2006 |
Dispersive behaviour of high order finite element schemes for the one-way wave equation
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February 2014 |
The “Cubed Sphere”: A New Method for the Solution of Partial Differential Equations in Spherical Geometry
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March 1996 |
A primal–dual mimetic finite element scheme for the rotating shallow water equations on polygonal spherical meshes
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June 2015 |
CAM-SE: A scalable spectral element dynamical core for the Community Atmosphere Model
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November 2011 |
Idealized tropical cyclone simulations of intermediate complexity: A test case for AGCMs
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February 2012 |
The spectral element method on variable resolution grids: evaluating grid sensitivity and resolution-aware numerical viscosity
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January 2014 |
The Euler Equations of Motion with Hydrostatic Pressure as an Independent Variable
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journal
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January 1992 |
Runge–Kutta IMEX schemes for the Horizontally Explicit/Vertically Implicit (HEVI) solution of wave equations
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journal
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November 2013 |
Computational Design of the Basic Dynamical Processes of the UCLA General Circulation Model
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book
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January 1977 |
An Energy and Angular-Momentum Conserving Vertical Finite-Difference Scheme and Hybrid Vertical Coordinates
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journal
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April 1981 |
A high-order staggered finite-element vertical discretization for non-hydrostatic atmospheric models
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January 2016 |
High-Resolution Mesh Convergence Properties and Parallel Efficiency of a Spectral Element Atmospheric Dynamical Core
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journal
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August 2005 |
On the use of a coordinate transformation for the solution of the Navier-Stokes equations
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February 1975 |
Implicit-Explicit Formulations of a Three-Dimensional Nonhydrostatic Unified Model of the Atmosphere (NUMA)
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January 2013 |
DCMIP2016: the splitting supercell test case
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January 2019 |
A unified approach to energy conservation and potential vorticity dynamics for arbitrarily-structured C-grids
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journal
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May 2010 |
Operator-Split Runge–Kutta–Rosenbrock Methods for Nonhydrostatic Atmospheric Models
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April 2012 |
Implicit–explicit (IMEX) Runge–Kutta methods for non-hydrostatic atmospheric models
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January 2018 |
Mixed finite elements for numerical weather prediction
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August 2012 |
Equations of Atmospheric Motion in Non-Eulerian Vertical Coordinates: Vector-Invariant Form and Quasi-Hamiltonian Formulation
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journal
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October 2014 |
A Terrain-Following Coordinate with Smoothed Coordinate Surfaces
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July 2011 |
Numerical analyses of Runge-Kutta implicit-explicit schemes for horizontally explicit, vertically implicit solutions of atmospheric models: Numerical Analyses of RK HEVI Solutions
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journal
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February 2014 |
A New Terrain-Following Vertical Coordinate Formulation for Atmospheric Prediction Models
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journal
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October 2002 |
Conservation of Mass and Energy for the Moist Atmospheric Primitive Equations on Unstructured Grids
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book
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January 2011 |
DCMIP2016: a review of non-hydrostatic dynamical core design and intercomparison of participating models
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journal
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January 2017 |
A compatible and conservative spectral element method on unstructured grids
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journal
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August 2010 |
A Generalization of the SLEVE Vertical Coordinate
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journal
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September 2010 |
Impact and importance of hyperdiffusion on the spectral element method: A linear dispersion analysis
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journal
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December 2018 |
Conservative Scheme for the Compressible Nonhydrostatic Models with the Horizontally Explicit and Vertically Implicit Time Integration Scheme
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journal
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May 2002 |
DYNAMICO-1.0, an icosahedral hydrostatic dynamical core designed for consistency and versatility
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journal
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January 2015 |
A proposed baroclinic wave test case for deep- and shallow-atmosphere dynamical cores: A Baroclinic Wave Test Case for Deep and Shallow-atmosphere Dynamical Cores
- Ullrich, Paul A.; Melvin, Thomas; Jablonowski, Christiane
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Quarterly Journal of the Royal Meteorological Society, Vol. 140, Issue 682
https://doi.org/10.1002/qj.2241
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journal
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December 2013 |
SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers
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journal
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September 2005 |
A “Vertically Lagrangian” Finite-Volume Dynamical Core for Global Models
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journal
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October 2004 |
Numerical representation of geostrophic modes on arbitrarily structured C-grids
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December 2009 |
Discretization of generalized Coriolis and friction terms on the deformed hexagonal C-grid
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journal
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October 2018 |