Optimal Control for Two-Phase Flows

Optimal Control for Two-Phase Flows
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DOI:
10.1007/978-3-319-05083-6_22
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发表时间:
2014
期刊:
--
影响因子:
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通讯作者:
M. Braack;M. Klein;A. Prohl;B. Tews
M. Braack;M. Klein;A. Prohl;B. Tews
中科院分区:
其他
文献类型:
--
作者:
M. Braack;M. Klein;A. Prohl;B. Tews

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考虑一类关于两相Navier-Stokes方程的最优控制问题。提出了不同的数值格式,特别是水平集法和基于Allen-Cahn相场模型的方法。我们还考虑了一种几何方法来处理界面和解决数值格式的收敛问题。
We consider an optimal control problem with respect to the two-phase Navier–Stokes equations. Different numerical schemes are presented, in particular a level-set method, as well as an approach based an Allen-Cahn phase field model. We also consider a geometrical approach to treat the interface and address the question of convergence of a numerical scheme.