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Applied Mathematics Seminar 291 (4/6/18)

April 6, 2018 - 3:00pm

Chris Rycroft, Harvard

Abstract:

Conventional computational methods often create a dilemma for fluid-structure interaction problems. Typically, solids are simulated using a Lagran_gian approach with grid that moves with the material, whereas fluids are simufated-using an Eulerian approach with a fixed spatial grid, requiring some type of interfacial coupling between the two different perspectives. Here, a fully tulerian method for simulating structures immersed in a fluid will be presented. By introducing a reference map variable to model finite-deformation constitutive relations in the structures on the same grid as the fluid, the interfacial coupling problem is highly simplified. The method 1s particularly well suited for simulating soft, higfily-deformable materials and many-body contact problems, and several examples wi11 be presented. This is joint work with Ken Kamrin (MIT). 

Flyer PDF: chris_rycroft_applied_math_flyer.pdf

Location

COB 267

Contact Information

Maxime Theillard
Professor
Mathematics