A noise-free finite element scheme for the two-layer shallow water equations
A noise-free finite element scheme for the two-layer shallow water equations
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DOI：
10.3402/tellusa.v36i2.11478
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发表时间：
1984-03
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影响因子：
--
通讯作者：
B. Hua;F. Thomasset
中科院分区：
文献类型：
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作者：
B. Hua;F. Thomasset
半隐式时间推进方案与空间三角有限元相结合，用于两层浅水方程的离散化。速度变量由所谓的非相容线性元素近似，其节点位于三角形的中边。高度变量由线性一致元素近似。由此产生的离散方案很容易反转并且不存在两网格振荡问题。对于特定晶格，它与由 Mesinger (1973) DOI: 10.1111/j.1600-0870.1984.tb00235.x 导出的有限差分格式相同
A semi-implicit time marching scheme is combined with triangular finite elements in space for the discretization of the two-layer shallow water equations. Velocity variables are approximated by so-called non-conforming linear elements, which have their nodes at mid-sides of the triangles. Height variables are approximated by linear conforming elements. The resulting discrete scheme is easily inverted and is free of two-grid oscillation problems. It is identical for a particular lattice to a finite difference scheme derived by Mesinger (1973) DOI: 10.1111/j.1600-0870.1984.tb00235.x