57 citations as recorded by crossref.

1. Lagrangian advection scheme with shape matrix (LASM) v0.2: interparcel mixing, physics–dynamics coupling and 3-D extension L. Dong et al. 10.5194/gmd-8-2675-2015
2. Study of the convergence of the Meshless Lattice Boltzmann Method in Taylor–Green, annular channel and a porous medium flows D. Strzelczyk & M. Matyka 10.1016/j.compfluid.2023.106122
3. Optimization-based limiters for the spectral element method O. Guba et al. 10.1016/j.jcp.2014.02.029
4. Adaptively implicit MPDATA advection for arbitrary Courant numbers and meshes H. Weller et al. 10.1002/qj.4411
5. Impact of Advection Schemes on Tracer Interrelationships in Large-Eddy Simulations of Deep Convection L. Hernández Pardo et al. 10.1175/MWR-D-22-0025.1
6. The terminator "toy" chemistry test: a simple tool to assess errors in transport schemes P. Lauritzen et al. 10.5194/gmd-8-1299-2015
7. 3D conservative cascade semi-Lagrangian transport scheme using reduced latitude–longitude grid (CCS-RG) V. Shashkin et al. 10.1016/j.jcp.2015.11.005
8. A Positive‐Definite, WENO‐Limited, High‐Order Finite Volume Solver for 2‐D Transport on the Cubed Sphere Using an ADER Time Discretization M. Norman & R. Nair 10.1029/2017MS001247
9. A standard test case suite for two-dimensional linear transport on the sphere: results from a collection of state-of-the-art schemes P. Lauritzen et al. 10.5194/gmd-7-105-2014
10. Construction of the SILAM Eulerian atmospheric dispersion model based on the advection algorithm of Michael Galperin M. Sofiev et al. 10.5194/gmd-8-3497-2015
11. High-Order Finite-Volume Transport on the Cubed Sphere: Comparison between 1D and 2D Reconstruction Schemes K. Katta et al. 10.1175/MWR-D-13-00176.1
12. Numerical investigation on the transport equation in spherical coordinates via generalized moving least squares and moving kriging least squares approximations V. Mohammadi et al. 10.1007/s00366-019-00881-3
13. Numerical model of Earth ionosphere F region based on three-dimensional transport and ambipolar diffusion equations D. Kulyamin et al. 10.1515/rnam-2023-0027
14. Trajectory-Tracking Scheme in Lagrangian Form for Solving Linear Advection Problems: Interface Spatial Discretization L. Dong & B. Wang 10.1175/MWR-D-12-00058.1
15. On Mass Conservation in High-Order High-Resolution Rigorous Remapping Schemes on the Sphere C. Erath et al. 10.1175/MWR-D-13-00002.1
16. A solution to the trilemma of the moist Charney–Phillips staggering T. Bendall et al. 10.1002/qj.4406
17. Improving the Accuracy of Discretisations of the Vector Transport Equation on the Lowest-Order Quadrilateral Raviart-Thomas Finite Elements T. Bendall & G. Wimmer 10.2139/ssrn.4166560
18. Communication-Efficient Property Preservation in Tracer Transport A. Bradley et al. 10.1137/18M1165414
19. Efficient numerical solution of the Fokker-Planck equation using physics-conforming finite element methods K. Wegener et al. 10.1515/jnma-2023-0017
20. Pangolin v1.0, a conservative 2-D advection model towards large-scale parallel calculation A. Praga et al. 10.5194/gmd-8-205-2015
21. DYNAMICO-1.0, an icosahedral hydrostatic dynamical core designed for consistency and versatility T. Dubos et al. 10.5194/gmd-8-3131-2015
22. 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
23. A Holistic Algorithmic Approach to Improving Accuracy, Robustness, and Computational Efficiency for Atmospheric Dynamics M. Norman & J. Larkin 10.1137/19M128435X
24. Mixing properties of SLICE and other mass-conservative semi-Lagrangian schemes K. Aranami et al. 10.1002/qj.2268
25. CAM-SE–CSLAM: Consistent Coupling of a Conservative Semi-Lagrangian Finite-Volume Method with Spectral Element Dynamics P. Lauritzen et al. 10.1175/MWR-D-16-0258.1
26. Multilevel approximation of the gradient operator on an adaptive spherical geodesic grid R. Behera et al. 10.1007/s10444-014-9382-z
27. Downscale cascades in tracer transport test cases: an intercomparison of the dynamical cores in the Community Atmosphere Model CAM5 J. Kent et al. 10.5194/gmd-5-1517-2012
28. Positive definite and mass conserving tracer transport in spectral GCMs M. Schlutow et al. 10.1002/2014JD021661
29. Semi-Lagrangian Advection of Stratospheric Ozone on a Yin–Yang Grid System J. de Grandpré et al. 10.1175/MWR-D-15-0142.1
30. A high‐order WENO‐limited finite‐volume algorithm for atmospheric flow using the ADER‐differential transform time discretization M. Norman 10.1002/qj.3989
31. A Compressible Nonhydrostatic Cell-Integrated Semi-Lagrangian Semi-Implicit Solver (CSLAM-NH) with Consistent and Conservative Transport M. Wong et al. 10.1175/MWR-D-13-00210.1
32. Exploring a Lower‐Resolution Physics Grid in CAM‐SE‐CSLAM A. Herrington et al. 10.1029/2019MS001684
33. High-Order Semi-Lagrangian Schemes for the Transport Equation on Icosahedron Spherical Grids F. Lu et al. 10.3390/atmos13111807
34. An idealized test case for assessing the linearization of tracer transport schemes in NWP models J. Kent & D. Holdaway 10.1002/qj.3027
35. A Lagrangian advection scheme with shape matrix (LASM) for solving advection problems L. Dong et al. 10.5194/gmd-7-2951-2014
36. A nonnegative and shape‐preserving global transport model on cubed sphere using high‐order conservative collocation scheme P. Huang et al. 10.1002/fld.4962
37. MPDATA: Third-order accuracy for variable flows M. Waruszewski et al. 10.1016/j.jcp.2018.01.005
38. An improved version of the piecewise parabolic method advection scheme: description and performance assessment in a bidimensional test case with stiff chemistry in toyCTM v1.0.1 S. Mailler et al. 10.5194/gmd-16-7509-2023
39. An efficient WENO limiter for discontinuous Galerkin transport scheme on the cubed sphere W. Guo et al. 10.1002/fld.4171
40. Optimization-based, property-preserving algorithm for passive tracer transport K. Peterson et al. 10.1016/j.camwa.2024.02.031
41. A Lagrangian particle method with remeshing for tracer transport on the sphere P. Bosler et al. 10.1016/j.jcp.2017.03.052
42. Conservative Multimoment Transport along Characteristics for Discontinuous Galerkin Methods P. Bosler et al. 10.1137/18M1165943
43. Petrov–Galerkin flux upwinding for mixed mimetic spectral elements, and its application to geophysical flow problems D. Lee 10.1016/j.camwa.2021.02.017
44. Improving the accuracy of discretisations of the vector transport equation on the lowest-order quadrilateral Raviart-Thomas finite elements T. Bendall & G. Wimmer 10.1016/j.jcp.2022.111834
45. Dynamical core model intercomparison project: Tracer transport test cases J. Kent et al. 10.1002/qj.2208
46. 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
47. Separating Physics and Dynamics Grids for Improved Computational Efficiency in Spectral Element Earth System Models W. Hannah et al. 10.1029/2020MS002419
48. The ICON-1.2 hydrostatic atmospheric dynamical core on triangular grids – Part 1: Formulation and performance of the baseline version H. Wan et al. 10.5194/gmd-6-735-2013
49. A hybrid Eulerian–Lagrangian numerical scheme for solving prognostic equations in fluid dynamics E. Kaas et al. 10.5194/gmd-6-2023-2013
50. Comparison of dimensionally split and multi‐dimensional atmospheric transport schemes for long time steps Y. Chen et al. 10.1002/qj.3125
51. Tracer transport within an unstructured grid ocean model using characteristic discontinuous Galerkin advection D. Lee et al. 10.1016/j.camwa.2018.09.024
52. Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions V. Shankar & G. Wright 10.1016/j.jcp.2018.04.007
53. A high‐order fully explicit flux‐form semi‐Lagrangian shallow‐water model P. Ullrich et al. 10.1002/fld.3887
54. Parallel Domain Decomposition Methods with Mixed Order Discretization for Fully Implicit Solution of Tracer Transport Problems on the Cubed-Sphere H. Yang et al. 10.1007/s10915-014-9828-y
55. Stabilized bases for high-order, interpolation semi-Lagrangian, element-based tracer transport A. Bradley 10.1016/j.jcp.2024.113034
56. On the inter-comparison of two tracer transport schemes on icosahedral grids S. Dubey et al. 10.1016/j.apm.2015.04.015
57. Integrating a scalable and effcient semi-Lagrangian multi-tracer transport scheme in HOMME C. Erath et al. 10.1016/j.procs.2012.04.106