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DTSTART:19820101T123000
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BEGIN:VEVENT
DTSTAMP:20201212T050114Z
LOCATION:Zoom Room 3
DTSTART;TZID=Asia/Singapore:20201212T102400
DTEND;TZID=Asia/Singapore:20201212T103000
UID:siggraphasia_SIGGRAPH Asia 2020_sess119_papers_342@linklings.com
SUMMARY:An Implicit Updated Lagrangian Formulation for Liquids with Large
Surface Energy
DESCRIPTION:Technical Papers, Technical Papers Q&A\n\nAn Implicit Updated
Lagrangian Formulation for Liquids with Large Surface Energy\n\nHyde, Gagn
iere, Marquez-Razon, Teran\n\nWe present an updated Lagrangian discretizat
ion of surface tension forces for the simulation of liquids with moderate
to extreme surface tension effects. The potential energy associated with s
urface tension is proportional to the surface area of the liquid. We desig
n discrete forces as gradients of this energy with respect to the motion o
f the fluid over a time step. We show that this naturally allows for inver
sion of the Hessian of the potential energy required with the use of Newto
n’s method to solve the systems of nonlinear equations associated with imp
licit time stepping. The rotational invariance of the surface tension ener
gy makes it non-convex and we define a definiteness fix procedure as in [T
eran et al. 2005]. We design a novel level-set-based boundary quadrature t
echnique to discretize the surface area calculation in our energy based fo
rmulation. Our approach works most naturally with Particle-In-Cell [Harlow
1964] techniques and we demonstrate our approach with a weakly incompress
ible model for liquid discretized with the Material Point Method [Sulsky e
t al. 1994]. We show that our approach is essential for allowing efficient
implicit numerical integration in the limit of high surface tension mater
ials like liquid metals.\n\nRegistration Category: Ultimate Supporter, Ult
imate Attendee
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