Articles | Volume 7, issue 3
https://doi.org/10.5194/gmd-7-909-2014
© Author(s) 2014. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/gmd-7-909-2014
© Author(s) 2014. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
A mimetic, semi-implicit, forward-in-time, finite volume shallow water model: comparison of hexagonal–icosahedral and cubed-sphere grids
J. Thuburn
University of Exeter, College of Engineering, Mathematics and Physical Sciences, Exeter, UK
C. J. Cotter
Imperial College, Department of Mathematics, London, UK
T. Dubos
IPSL/Laboratoire de Météorologie Dynamique, École Polytechnique, Palaiseau, France
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Cited
32 citations as recorded by crossref.
- Higher-order finite volume differential operators with selective upwinding on the icosahedral spherical grid C. Subich
- Multidimensional method-of-lines transport for atmospheric flows over steep terrain using arbitrary meshes J. Shaw et al.
- A mixed finite‐element, finite‐volume, semi‐implicit discretisation for atmospheric dynamics: Spherical geometry T. Melvin et al.
- A conservative staggered discontinuous Galerkin method on triangular grids for the shallow water equations W. Leng et al.
- A mixed finite-element discretisation of the shallow-water equations J. Kent et al.
- A Layer‐Averaged Nonhydrostatic Dynamical Framework on an Unstructured Mesh for Global and Regional Atmospheric Modeling: Model Description, Baseline Evaluation, and Sensitivity Exploration Y. Zhang et al.
- Summation-by-parts finite-difference shallow water model on the cubed-sphere grid. Part I: Non-staggered grid V. Shashkin et al.
- Elimination of spectral blocking by ensuring rotation‐free property of discretized pressure gradient within a spectral semi‐implicit semi‐Lagrangian global atmospheric model M. Ujiie & D. Hotta
- A Fast Monotone Discretization of the Rotating Shallow Water Equations G. Roullet & T. Gaillard
- Computation at a coordinate singularity J. Prusa
- A conservative discretization of the shallow-water equations on triangular grids P. Korn & L. Linardakis
- Exploring deep and hot adiabats as a potential solution to the radius inflation problem in brown dwarfs F. Sainsbury-Martinez et al.
- A center compact scheme for the Shallow Water equations on the sphere M. Brachet & J. Croisille
- Accuracy analysis of mimetic finite volume operators on geodesic grids and a consistent alternative P. Peixoto
- Time‐parallel integration and phase averaging for the nonlinear shallow‐water equations on the sphere H. Yamazaki et al.
- A compatible finite element discretisation for the nonhydrostatic vertical slice equations C. Cotter & J. Shipton
- Total energy and potential enstrophy conserving schemes for the shallow water equations using Hamiltonian methods – Part 1: Derivation and properties C. Eldred & D. Randall
- Extending High‐Order Flux Operators on Spherical Icosahedral Grids and Their Applications in the Framework of a Shallow Water Model Y. Zhang
- Numerical instabilities of spherical shallow‐water models considering small equivalent depths P. Peixoto et al.
- A Potential Enstrophy and Energy Conserving Scheme for the Shallow-Water Equations Extended to Generalized Curvilinear Coordinates M. Toy & R. Nair
- A quasi-Hamiltonian discretization of the thermal shallow water equations C. Eldred et al.
- Conservative finite‐volume schemes for the quasi‐geostrophic equation on coastal‐conforming unstructured primal–dual meshes Q. Chen & L. Ju
- DYNAMICO-1.0, an icosahedral hydrostatic dynamical core designed for consistency and versatility T. Dubos et al.
- Comparison of dimensionally split and multi‐dimensional atmospheric transport schemes for long time steps Y. Chen et al.
- Conservative Numerical Schemes with Optimal Dispersive Wave Relations: Part II. Numerical Evaluations Q. Chen et al.
- Curl-Free Pressure Gradients over Orography in a Solution of the Fully Compressible Euler Equations with Implicit Treatment of Acoustic and Gravity Waves H. Weller & A. Shahrokhi
- Formulation of an unstructured grid model for global ocean dynamics P. Korn
- Idealised simulations of the deep atmosphere of hot Jupiters F. Sainsbury-Martinez et al.
- Analysis of and Solution to the Polar Numerical Noise Within the Shallow‐Water Model on the Latitude‐Longitude Grid J. Li et al.
- Improving Time Step Convergence in an Atmosphere Model With Simplified Physics: Using Mathematical Rigor to Avoid Nonphysical Behavior in a Parameterization C. Vogl et al.
- A primal–dual mimetic finite element scheme for the rotating shallow water equations on polygonal spherical meshes J. Thuburn & C. Cotter
- Understanding the Performance of an Unstructured-Mesh Global Shallow Water Model on Kinetic Energy Spectra and Nonlinear Vorticity Dynamics L. Wang et al.
32 citations as recorded by crossref.
- Higher-order finite volume differential operators with selective upwinding on the icosahedral spherical grid C. Subich
- Multidimensional method-of-lines transport for atmospheric flows over steep terrain using arbitrary meshes J. Shaw et al.
- A mixed finite‐element, finite‐volume, semi‐implicit discretisation for atmospheric dynamics: Spherical geometry T. Melvin et al.
- A conservative staggered discontinuous Galerkin method on triangular grids for the shallow water equations W. Leng et al.
- A mixed finite-element discretisation of the shallow-water equations J. Kent et al.
- A Layer‐Averaged Nonhydrostatic Dynamical Framework on an Unstructured Mesh for Global and Regional Atmospheric Modeling: Model Description, Baseline Evaluation, and Sensitivity Exploration Y. Zhang et al.
- Summation-by-parts finite-difference shallow water model on the cubed-sphere grid. Part I: Non-staggered grid V. Shashkin et al.
- Elimination of spectral blocking by ensuring rotation‐free property of discretized pressure gradient within a spectral semi‐implicit semi‐Lagrangian global atmospheric model M. Ujiie & D. Hotta
- A Fast Monotone Discretization of the Rotating Shallow Water Equations G. Roullet & T. Gaillard
- Computation at a coordinate singularity J. Prusa
- A conservative discretization of the shallow-water equations on triangular grids P. Korn & L. Linardakis
- Exploring deep and hot adiabats as a potential solution to the radius inflation problem in brown dwarfs F. Sainsbury-Martinez et al.
- A center compact scheme for the Shallow Water equations on the sphere M. Brachet & J. Croisille
- Accuracy analysis of mimetic finite volume operators on geodesic grids and a consistent alternative P. Peixoto
- Time‐parallel integration and phase averaging for the nonlinear shallow‐water equations on the sphere H. Yamazaki et al.
- A compatible finite element discretisation for the nonhydrostatic vertical slice equations C. Cotter & J. Shipton
- Total energy and potential enstrophy conserving schemes for the shallow water equations using Hamiltonian methods – Part 1: Derivation and properties C. Eldred & D. Randall
- Extending High‐Order Flux Operators on Spherical Icosahedral Grids and Their Applications in the Framework of a Shallow Water Model Y. Zhang
- Numerical instabilities of spherical shallow‐water models considering small equivalent depths P. Peixoto et al.
- A Potential Enstrophy and Energy Conserving Scheme for the Shallow-Water Equations Extended to Generalized Curvilinear Coordinates M. Toy & R. Nair
- A quasi-Hamiltonian discretization of the thermal shallow water equations C. Eldred et al.
- Conservative finite‐volume schemes for the quasi‐geostrophic equation on coastal‐conforming unstructured primal–dual meshes Q. Chen & L. Ju
- DYNAMICO-1.0, an icosahedral hydrostatic dynamical core designed for consistency and versatility T. Dubos et al.
- Comparison of dimensionally split and multi‐dimensional atmospheric transport schemes for long time steps Y. Chen et al.
- Conservative Numerical Schemes with Optimal Dispersive Wave Relations: Part II. Numerical Evaluations Q. Chen et al.
- Curl-Free Pressure Gradients over Orography in a Solution of the Fully Compressible Euler Equations with Implicit Treatment of Acoustic and Gravity Waves H. Weller & A. Shahrokhi
- Formulation of an unstructured grid model for global ocean dynamics P. Korn
- Idealised simulations of the deep atmosphere of hot Jupiters F. Sainsbury-Martinez et al.
- Analysis of and Solution to the Polar Numerical Noise Within the Shallow‐Water Model on the Latitude‐Longitude Grid J. Li et al.
- Improving Time Step Convergence in an Atmosphere Model With Simplified Physics: Using Mathematical Rigor to Avoid Nonphysical Behavior in a Parameterization C. Vogl et al.
- A primal–dual mimetic finite element scheme for the rotating shallow water equations on polygonal spherical meshes J. Thuburn & C. Cotter
- Understanding the Performance of an Unstructured-Mesh Global Shallow Water Model on Kinetic Energy Spectra and Nonlinear Vorticity Dynamics L. Wang et al.
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