Data · dataset · 2026
High-order finite volume transport on the cubed-sphere: Comparison between 1D and 2D reconstruction schemes
Listed in National Center for Atmospheric Research
This paper presents two finite-volume (FV) schemes for solving linear transport problems on the cubed-sphere grid system.
Description
The schemes are based on the central-upwind finite-volume (CUFV) method, which is a class of Godunov-type method for solving hyperbolic conservation laws, and combines the attractive features of the classical upwind and central FV methods. One of the CUFV schemes is based on a dimension-by-dimension approach and employs a fifth-order one-dimensional (1D) Weighted Essentially Non-Oscillatory (WENO5) reconstruction method.
The other scheme employs a fully two-dimensional (2D) fourth-order accurate reconstruction method. The cubed-sphere grid system imposes several computational challenges due to its patched-domain topology and non-orthogonal curvilinear grid structure. A high-order 1D interpolation procedure combining cubic and quadratic interpolations is developed for the FV schemes to handle the discontinuous edges of the cubed-sphere grid.
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TheWENO5 scheme is compared against the fourth-order Kurganov-Levy (KL) scheme formulated in the CUFV framework. The performance of the schemes is compared using several benchmark problems such as the solid-body rotation and deformational-flow tests, and empirical convergence rates are reported. In addition, a bound-preserving filter combined with an optional positivity-preserving filter is tested for non-smooth problems.
The filtering techniques considered are local, inexpensive and effective. A fourth-order strong stability preserving explicit Runge-Kutta time stepping scheme is used for integration. The results show that schemes are competitive to other published FV schemes in the same category
Links
Get the data
- Publisher page n2t.org/ark:/85065/d7cz389p ↗
documentation · download · from data ucar edu
Where it is published
- data.ucar.edu /dataset/high-order-finite-volume-transport-on-the-cubed-sphere… ↗
National Center for Atmospheric Research dataset page
landing page · from data ucar edu
Catalogue records · 1
- CKAN API data.ucar.edu/api/3/action/package_show?id=83343aa6-26ec-48e6-ae6e-1719491db… ↗
metadata API · from data ucar edu
Topics
- From keywords
- Earth & Environmental Science · Ocean & Atmospheric Science
Provenance · 1 source records, 7 field assertions
| Source | Key | Last seen | Raw |
|---|---|---|---|
| National Center for Atmospheric Research | 83343aa6-26ec-48e6-ae6e-1719491dba08 | 11 d ago | JSON v1 |
| Field | Assertion | Extractor | Evidence |
|---|---|---|---|
| concepts[field].local:field:earth-environmental | mapping · data ucar edu | connector:data_ucar_edu@1.0.0 | |
| concepts[field].local:field:ocean-atmospheric | mapping · data ucar edu | connector:data_ucar_edu@1.0.0 | |
| created_date | source · data ucar edu | connector:data_ucar_edu@1.0.0 | |
| description | source · data ucar edu | connector:data_ucar_edu@1.0.0 | /notes |
| publication_date | source · data ucar edu | connector:data_ucar_edu@1.0.0 | |
| title | source · data ucar edu | connector:data_ucar_edu@1.0.0 | /title |
| updated_date | source · data ucar edu | connector:data_ucar_edu@1.0.0 |