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SUMMARY:YUEXIA LUNA LIN (Harvard University)
DTSTART:20200710T160000Z
DTEND:20200710T170000Z
DTSTAMP:20260423T005808Z
UID:CRIBB/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CRIBB/1/">Re
 ference map technique: a fully Eulerian method for fluid-structure interac
 tions</a>\nby YUEXIA LUNA LIN (Harvard University) as part of Computationa
 l Research in Boston and Beyond Seminar (CRIBB)\n\n\nAbstract\nABSTRACT:\n
 \nFluid-structure interactions (FSI) are abundantly observed in contexts r
 anging from swimming in the pool\, to industrial level manufacturing\, to 
 bacteria collective motion on a petri dish.  However\, the governing equat
 ions are only analytically trackable in the simple cases\, making simulati
 ons key to understand this fantastic class of problems.  Conventional comp
 utational methods often create a dilemma for fluid-structure interaction (
 FSI) problems.  Typically\, solids are simulated using a Lagrangian approa
 ch with a grid that moves with the material\, whereas fluids are simulated
  using an Eulerian approach with a fixed spatial grid. FSI methods often r
 equire some type of interfacial coupling between the two different perspec
 tives.  We present a fully Eulerian FSI method that addresses these challe
 nges.  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 i
 n finite strain theory\, but it has been under-utilized as a primary varia
 ble for solid and FSI simulations.  A challenge in applying the reference 
 map technique (RMT) in FSI is to extrapolate reference map values from gri
 d cells occupied by the solids to unoccupied grid cells\, in order to calc
 ulate derivative using finite difference schemes.  This challenge becomes 
 more acute when applying RMT to simulations in 3D.  We develop an extrapol
 ation algorithm based on least-square linear regression that is suitable f
 or parallelization.  We show examples to demonstrate that RMT is well suit
 ed for simulating soft\, highly-deformable materials and many-body contact
  problems.  Joint work with Nicholas Derr and Chris H. Rycroft (SEAS\, Har
 vard University) and Ken Kamrin (Mechanical Engineering\, MIT).\n\nZOOM:\n
 \nhttps://mit.zoom.us/j/96034732289\n         Meeting ID: 960 3473 2289\n 
         Password: 567284\n\n         One tap mobile\n         +16465588656
 \,\,96034732289# US (New York)\n         +16699006833\,\,96034732289# US (
 San Jose)\n          US : +1 646 558 8656 or +1 669 900 6833\n
LOCATION:https://researchseminars.org/talk/CRIBB/1/
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