タイトル | An energy and potential enstrophy conserving scheme for the shallow water equations |
著者(英) | Arakawa, A.; Lamb, V. R. |
著者所属(英) | California Univ. |
発行日 | 1979-01-01 |
言語 | eng |
内容記述 | A three-dimensional finite difference scheme for the solution of the shallow water momentum equations which accounts for the conservation of potential enstrophy in the flow of a homogeneous incompressible shallow atmosphere over steep topography as well as for total energy conservation is presented. The scheme is derived to be consistent with a reasonable scheme for potential vorticity advection in a long-term integration for a general flow with divergent mass flux. Numerical comparisons of the characteristics of the present potential enstrophy-conserving scheme with those of a scheme that conserves potential enstrophy only for purely horizontal nondivergent flow are presented which demonstrate the reduction of computational noise in the wind field with the enstrophy-conserving scheme and its convergence even in relatively coarse grids. |
NASA分類 | METEOROLOGY AND CLIMATOLOGY |
レポートNO | 80A39674 |
権利 | Copyright |
URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/421339 |
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