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- Title
High-order conservative transport on Yin-Yang grids using the multi-moment constrained finite volume method.
- Authors
Juan Gu; Xindong Peng; Jun Chang; Yuzhang Che
- Abstract
A numerical constraint was developed to improve the global and local conservation for the Yin-Yang grid system, which has been known as one of the quasi-uniform grids on a sphere. Two-dimensional cubic mass distribution within an individual mesh was assumed, to describe the subgrid-scale structure of local properties and to ensure high-order-accuracy mass flux specification for the Yin-Yang boundary. A three-point Multi-moment Constrained finite Volume scheme, in cooperation with a fourth-order Runge–Kutta scheme, was selected for numerical transport with the help of Boundary Gradient Switching for oscillation suppression. The new scheme was tested with a couple of idealized numerical experiments in advection and shallow-water models on the Yin-Yang grid to verify its performance. Numerical results confirmed the exact mass conservation in spherical advection problems, and the numerical convergence rate reached fourth order in both advection and shallow-water models. Computational stability, shape-preserving and numerical oscillation-free properties were also revealed in the nonlinear testing problems.
- Subjects
SHALLOW-water equations; CONSERVATION of mass; ADVECTION-diffusion equations; FINITE volume method; GRIDS (Cartography); NONLINEAR equations
- Publication
Quarterly Journal of the Royal Meteorological Society, 2022, Vol 148, Issue 743, p826
- ISSN
0035-9009
- Publication type
Article
- DOI
10.1002/qj.4233