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University of Colorado, Boulder

Eulerian methods

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Full-Text Articles in Engineering Science and Materials

The Particle Based Moving Interface Method For Soft Matter Mechanics And Fluid/Membrane Interactions With Applications To Biological Cells, Louis Cyrille Foucard Jan 2014

The Particle Based Moving Interface Method For Soft Matter Mechanics And Fluid/Membrane Interactions With Applications To Biological Cells, Louis Cyrille Foucard

Civil Engineering Graduate Theses & Dissertations

The mechanics of the interaction between a fluid and a soft interface (such as an elastic membrane or shell) undergoing large deformations appears in many places, such as in biological systems or industrial processes. We present here an Eulerian approach that describes the mechanics of an interface and its interactions with a surrounding fluid via the so-called Navier boundary condition. The interface is modeled as a curvilinear surface with arbitrary mechanical properties across which discontinuities in pressure and tangential fluid velocity can naturally be enforced using a modified version of the extended finite element method. The tracking and evolution of ...