Mixed finite elements for global tide models.
Mixed finite elements for global tide models.
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DOI：
10.1007/s00211-015-0748-z
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发表时间：
2016
影响因子：
2.1
通讯作者：
Kirby RC
中科院分区：
文献类型：
--
作者：
Cotter CJ;Kirby RC
研究了带线性阻力项和强迫项的线性化旋转浅水波方程的混合有限元方法。通过对线性化动量的等价二阶方程的强能量估计，证明了无能量积累的地胰蛋白酶状态系统的长时间稳定性。中给出了线性化动量和自由表面高度的先验误差估计，以及线性化动量的时间导数和发散。数值结果证实了能量阻尼和收敛速度的理论结果。
We study mixed finite element methods for the linearized rotating shallow water equations with linear drag and forcing terms. By means of a strong energy estimate for an equivalent second-order formulation for the linearized momentum, we prove long-time stability of the system without energy accumulation—the geotryptic state. A priori error estimates for the linearized momentum and free surface elevation are given in as well as for the time derivative and divergence of the linearized momentum. Numerical results confirm the theoretical results regarding both energy damping and convergence rates.