Name
Title | ||
|---|---|---|
A global shallow water model using high order multi-moment constrained finite volume method and icosahedral grid |
Abstract | ||
|---|---|---|
A novel accurate numerical model for shallow water equations on sphere have been developed by implementing the high order multi-moment constrained finite volume (MCV) method on the icosahedral geodesic grid. High order reconstructions are conducted cell-wisely by making use of the point values as the unknowns distributed within each triangular cell element. The time evolution equations to update the unknowns are derived from a set of constrained conditions for two types of moments, i.e. the point values on the cell boundary edges and the cell-integrated average. The numerical conservation is rigorously guaranteed. In the present model, all unknowns or computational variables are point values and no numerical quadrature is involved, which particularly benefits the computational accuracy and efficiency in handling the spherical geometry, such as coordinate transformation and curved surface. Numerical formulations of third and fourth order accuracy are presented in detail. The proposed numerical model has been validated by widely used benchmark tests and competitive results are obtained. The present numerical framework provides a promising and practical base for further development of atmospheric and oceanic general circulation models. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.jcp.2009.11.008 | J. Comput. Physics |
Keywords | Field | DocType |
numerical formulation,multi-moment,oceanic general circulation model,global shallow water model,icosahedral grid,finite volume method,proposed numerical model,numerical conservation,compact-stencil,high order reconstruction,novel accurate numerical model,numerical quadrature,point value,high order multi-moment,high order accuracy,present numerical framework,shallow water equation,shallow water,finite volume,coordinate transformation,spherical geometry | Discontinuous Galerkin method,Coordinate system,Mathematical analysis,Numerical integration,Compact stencil,Geodesic grid,Finite volume method,Geodesic,Mathematics,Shallow water equations | Journal |
Volume | Issue | ISSN |
229 | 5 | Journal of Computational Physics |
Citations | PageRank | References |
12 | 0.90 | 16 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Satoshi Ii | 1 | 98 | 11.72 |
| Feng Xiao | 2 | 90 | 12.78 |