Hamed Afrasiab and Mohammad R. Movahhedy Treatment of the small time instability in the finite element analysis of fluid structure interaction problems International Journal for Numerical Methods in Fluids 71
In this paper, the combination of the variational multiscale method with appropriate stabilization parameters is proposed to handle the so-called small time step instability in the finite element analysis of the fluid part in fluid-structure interaction problems in which a high-frequency vibrating structure interacts with an incompressible fluid. Such a situation is common in many microfluid manipulating devices. The capability of the employed approach has been demonstrated through finite element simulation of a benchmark example and two different micropumps.
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