Department of Mathematics
Indian Institute of Science
Bangalore 560 012
SEMINAR
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Speaker |
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Prof. Sashikumar Ganesan |
| Affiliation | : | Otto-von-Guericke Universitaet, Magdeburg |
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Subject Area |
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Mathematics
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Venue |
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Lecture Hall - I, Dept of Mathematics
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Time |
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2.00 pm
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Date |
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January 18, 2007 (Thursday) |
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Title |
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Finite element simulation of free surface and two-phase flows using moving meshes |
| Abstract | : | In this talk, we present an accurate finite element scheme for computing free surface and interface flows. The fluid flow is described by the time-dependent incompressible Navier-Stokes equations in a time-dependent domain. To discretize the Navier-Stokes equations spatially and temporally, we use a second order LBB stable finite element pair and a second order strongly A-stable fractional-step-theta scheme, respectively. The key ingredients in our numerical scheme are the Laplace-Beltrami operator technique for the curvature approximation, arbitrary Lagrangian Eulerian (ALE) approach to track the free surface/interface, a discontinuous pressure approximation to handle the jump in the pressure across the interface, and the elastic solid technique to move the finite element mesh. Finally, an array of computational results for an impinging droplet on a solid surface and a rising bubble will be presented to demonstrate the robustness of the numerical scheme. |