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One time-step finite element discretization of the equation of motion of two-fluid flows

✍ Scribed by V. Girault; H. López; B. Maury

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
213 KB
Volume
22
Category
Article
ISSN
0749-159X

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✦ Synopsis

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.

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