[Crib-list] SPEAKER: Yuexia Luna Lin (Harvard) / CRIBB Seminar / 12PM - 1PM / Friday, July 10, 2020

[Shirley Entzminger]

 	Computational Research in Boston and Beyond Seminar
                               (CRIBB)


DATE:	  Friday, July 10, 2020

TIME:	  12:00 Noon to 1:00 PM

SPEAKER:  YUEXIA LUNA LIN  (Harvard)

TITLE:    Reference map technique: a fully Eulerian method for
           fluid-structure interactions

ZOOM Information...

 	https://mit.zoom.us/j/96034732289

         Meeting ID: 960 3473 2289

         Password: 567284

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ABSTRACT:

Fluid-structure interactions (FSI) are abundantly observed in contexts 
ranging from swimming in the pool, to industrial level manufacturing, to 
bacteria collective motion on a petri dish. However, the governing 
equations are only analytically trackable in the simple cases, making 
simulations key to understand this fantastic class of problems. 
Conventional computational methods often create a dilemma for 
fluid-structure interaction (FSI) problems. Typically, solids are 
simulated using a Lagrangian approach with a grid that moves with the 
material, whereas fluids are simulated using an Eulerian approach with a 
fixed spatial grid. FSI methods often require some type of interfacial 
coupling between the two different perspectives. We present a fully 
Eulerian FSI method that addresses these challenges. The method makes use 
of reference map, which maps the solid in the current space to the 
reference space. Reference map is a common concept in finite strain 
theory, but it has been under-utilized as a primary variable for solid and 
FSI simulations. A challenge in applying the reference map technique (RMT) 
in FSI is to extrapolate reference map values from grid cells occupied by 
the solids to unoccupied grid cells, in order to calculate derivative 
using finite difference schemes. This challenge becomes more acute when 
applying RMT to simulations in 3D. We develop an extrapolation algorithm 
based on least-square linear regression that is suitable for 
parallelization. We show examples to demonstrate that RMT is well suited 
for simulating soft, highly-deformable materials and many-body contact 
problems. Joint work with Nicholas Derr and Chris H. Rycroft (SEAS, 
Harvard University) and Ken Kamrin (Mechanical Engineering, MIT).

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Massachusetts Institute of Technology
Cambridge, MA



For information about the "Computational Research in Boston and Beyond 
Seminar" (CRIBB), please visit https://math.mit.edu/crib/


==============

Shirley A. Entzminger
Administrative Assistant II
Department of Mathematics
Massachusetts Institute of Technology
77 Massachusetts Avenue
Building 2, Room 350A
Cambridge, MA 02139
PHONE: 	(617) 253-4994
FAX:	(617) 253-4358
E-mail:	daisymae at math.mit.edu



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