Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642013 | Journal of Computational and Applied Mathematics | 2009 | 12 Pages |
Abstract
We give some theoretical considerations on the the flux-free finite element method for the generalized Stokes interface problem arising from the immiscible two-fluid flow problems. In the flux-free finite element method, the flux constraint is posed as another Lagrange multiplier to keep the zero-flux on the interface. As a result, the mass of each fluid is expected to be preserved at every time step. We first study the effect of discontinuous coefficients (viscosity and density) on the error of the standard finite element approximations very carefully. Then, the analysis is extended to the flux-free finite element method.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Katsushi Ohmori, Norikazu Saito,