33 citations as recorded by crossref.

1. Higher-order finite volume differential operators with selective upwinding on the icosahedral spherical grid C. Subich 10.1016/j.jcp.2018.04.053
2. Multidimensional method-of-lines transport for atmospheric flows over steep terrain using arbitrary meshes J. Shaw et al. 10.1016/j.jcp.2017.04.061
3. A mixed finite‐element, finite‐volume, semi‐implicit discretisation for atmospheric dynamics: Spherical geometry T. Melvin et al. 10.1002/qj.4814
4. A mixed finite-element discretisation of the shallow-water equations J. Kent et al. 10.5194/gmd-16-1265-2023
5. 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. 10.1029/2018MS001539
6. Summation-by-parts finite-difference shallow water model on the cubed-sphere grid. Part I: Non-staggered grid V. Shashkin et al. 10.1016/j.jcp.2022.111797
7. 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 10.1002/qj.3636
8. A Fast Monotone Discretization of the Rotating Shallow Water Equations G. Roullet & T. Gaillard 10.1029/2021MS002663
9. Computation at a coordinate singularity J. Prusa 10.1016/j.jcp.2018.01.044
10. A conservative discretization of the shallow-water equations on triangular grids P. Korn & L. Linardakis 10.1016/j.jcp.2018.09.002
11. Exploring deep and hot adiabats as a potential solution to the radius inflation problem in brown dwarfs F. Sainsbury-Martinez et al. 10.1051/0004-6361/202141637
12. A center compact scheme for the Shallow Water equations on the sphere M. Brachet & J. Croisille 10.1016/j.compfluid.2021.105286
13. Accuracy analysis of mimetic finite volume operators on geodesic grids and a consistent alternative P. Peixoto 10.1016/j.jcp.2015.12.058
14. Time‐parallel integration and phase averaging for the nonlinear shallow‐water equations on the sphere H. Yamazaki et al. 10.1002/qj.4517
15. A compatible finite element discretisation for the nonhydrostatic vertical slice equations C. Cotter & J. Shipton 10.1007/s13137-023-00236-7
16. Total energy and potential enstrophy conserving schemes for the shallow water equations using Hamiltonian methods – Part 1: Derivation and properties C. Eldred & D. Randall 10.5194/gmd-10-791-2017
17. Non-orthogonal version of the arbitrary polygonal C-grid and a new diamond grid H. Weller 10.5194/gmd-7-779-2014
18. Extending High‐Order Flux Operators on Spherical Icosahedral Grids and Their Applications in the Framework of a Shallow Water Model Y. Zhang 10.1002/2017MS001088
19. Numerical instabilities of spherical shallow‐water models considering small equivalent depths P. Peixoto et al. 10.1002/qj.3191
20. A Potential Enstrophy and Energy Conserving Scheme for the Shallow-Water Equations Extended to Generalized Curvilinear Coordinates M. Toy & R. Nair 10.1175/MWR-D-16-0250.1
21. A quasi-Hamiltonian discretization of the thermal shallow water equations C. Eldred et al. 10.1016/j.jcp.2018.10.038
22. Conservative finite‐volume schemes for the quasi‐geostrophic equation on coastal‐conforming unstructured primal–dual meshes Q. Chen & L. Ju 10.1002/qj.3277
23. DYNAMICO-1.0, an icosahedral hydrostatic dynamical core designed for consistency and versatility T. Dubos et al. 10.5194/gmd-8-3131-2015
24. Comparison of dimensionally split and multi‐dimensional atmospheric transport schemes for long time steps Y. Chen et al. 10.1002/qj.3125
25. Conservative Numerical Schemes with Optimal Dispersive Wave Relations: Part II. Numerical Evaluations Q. Chen et al. 10.1007/s10915-022-01908-6
26. 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 10.1175/MWR-D-14-00054.1
27. Formulation of an unstructured grid model for global ocean dynamics P. Korn 10.1016/j.jcp.2017.03.009
28. Idealised simulations of the deep atmosphere of hot Jupiters F. Sainsbury-Martinez et al. 10.1051/0004-6361/201936445
29. Analysis of and Solution to the Polar Numerical Noise Within the Shallow‐Water Model on the Latitude‐Longitude Grid J. Li et al. 10.1029/2020MS002047
30. 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. 10.1029/2019MS001974
31. A primal–dual mimetic finite element scheme for the rotating shallow water equations on polygonal spherical meshes J. Thuburn & C. Cotter 10.1016/j.jcp.2015.02.045
32. Understanding the Performance of an Unstructured-Mesh Global Shallow Water Model on Kinetic Energy Spectra and Nonlinear Vorticity Dynamics L. Wang et al. 10.1007/s13351-019-9004-2
33. Higher-order compatible finite element schemes for the nonlinear rotating shallow water equations on the sphere J. Shipton et al. 10.1016/j.jcp.2018.08.027