Energy- and enstrophy-conserving schemes for the shallow-water equations, based on mimetic finite elements
Energy- and enstrophy-conserving schemes for the shallow-water equations, based on mimetic finite elements
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基于模拟有限元的浅水方程的能量和熵守恒方案
DOI：
10.1002/qj.2291
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发表时间：
2014
影响因子：
8.9
通讯作者：
McRae A
中科院分区：
文献类型：
--
作者：
McRae A
本文介绍了非线性旋转浅水方程的空间离散族，这些方程既保持能量又保持位涡拟能。这些方法基于二维混合有限元法，因此与某些有限差分法不同，不需要正交网格。还提供了上述性质的数值验证。
This article presents families of spatial discretizations of the nonlinear rotating shallow‐water equations that conserve both energy and potential enstrophy. These are based on two‐dimensional mixed finite‐element methods and hence, unlike some finite‐difference methods, do not require an orthogonal grid. Numerical verification of the aforementioned properties is also provided.