An inherently mass‐conserving semi‐implicit semi‐Lagrangian discretisation of the shallow‐water equations on the sphere
An inherently mass‐conserving semi‐implicit semi‐Lagrangian discretisation of the shallow‐water equations on the sphere
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DOI：
10.1002/qj.458
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发表时间：
2009-07
影响因子：
8.9
通讯作者：
M. Zerroukat;N. Wood;A. Staniforth;A. A. White-A.;J. Thuburn
中科院分区：
文献类型：
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作者：
M. Zerroukat;N. Wood;A. Staniforth;A. A. White-A.;J. Thuburn
对于球面上的浅水方程，将质量守恒的连续性方程的半拉格朗日离散(SLICE)与动量方程的半隐式拉格朗日离散相耦合。使用文献中的各种检验(两个具有解析非线性解的检验)来评估该模型的性能，并将其与采用标准非守恒半隐式半隐式拉格朗日离散的连续性方程的变型模型进行比较。质量守恒版本给出的结果总体上比非守恒版本要好一些。版权所有(C)2009皇家气象学会和皇冠版权所有
For the shallow‐water equations on the sphere, an inherently mass‐conserving semi‐Lagrangian discretisation (SLICE) of the continuity equation is coupled with a semi‐implicit semi‐Lagrangian discretisation of the momentum equations. Various tests from the literature (two with analytical nonlinear solutions) are used to assess the model's performance and also to compare it with that of a variant model that instead employs a standard non‐conserving semi‐implicit semi‐Lagrangian discretisation of the continuity equation. The mass‐conserving version gives results that are overall somewhat better than the non‐conserving one. Copyright © 2009 Royal Meteorological Society and Crown Copyright