One time‐step finite element discretization of the equation of motion of two‐fluid flows
One time‐step finite element discretization of the equation of motion of two‐fluid flows
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DOI：
10.1002/num.20117
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发表时间：
2006-05
影响因子：
3.9
通讯作者：
V. Girault;H. López;Bertrand Maury
中科院分区：
文献类型：
--
作者：
V. Girault;H. López;Bertrand Maury
我们在空间中离散在每个时间步获得的方程时，离散时间的Navier-Stokes系统模拟的两个不混溶流体的密度相当，但粘度非常不同的水平管道中的二维流动。在每一个时间步的系统减少到一个广义的Stokes问题的边界和两种流体之间的界面处的非标准条件。我们用“迷你元”离散这个系统并建立误差估计。© 2005 Wiley Periodicals，Inc.数值方法偏微分方程，2005
We discretize in space the equations obtained at each time step when discretizing in time a Navier‐Stokes system modelling the two‐dimensional flow in a horizontal pipe of two immiscible fluids with comparable densities, but very different viscosities. At each time step the system reduces to a generalized Stokes problem with nonstandard conditions at the boundary and at the interface between the two fluids. We discretize this system with the “mini‐element” and establish error estimates. © 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2005