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TZID:Asia/Singapore
X-LIC-LOCATION:Asia/Singapore
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DTSTART:19820101T123000
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BEGIN:VEVENT
DTSTAMP:20201212T050113Z
LOCATION:Zoom Room 9
DTSTART;TZID=Asia/Singapore:20201211T134800
DTEND;TZID=Asia/Singapore:20201211T135400
UID:siggraphasia_SIGGRAPH Asia 2020_sess127_papers_392@linklings.com
SUMMARY:A Novel Discretization and Numerical Solver for Non-Fourier Diffus
ion
DESCRIPTION:Technical Papers, Technical Papers Q&A\n\nA Novel Discretizati
on and Numerical Solver for Non-Fourier Diffusion\n\nXue, Su, Han, Jiang,
Aanjaneya\n\nWe introduce the C-F diffusion model [Anderson and Tamma 2006
; Xue et al. 2018] to computer graphics for diffusion-driven problems that
has several attractive properties: (a) it fundamentally explains diffusio
n from the perspective of the non-equilibrium statistical mechanical Boltz
mann Transport Equation, (b) it allows for a finite propagation speed for
diffusion, in contrast to the widely employed Fick's/Fourier's law, and (c
) it can capture some of the most characteristic visual aspects of diffusi
on-driven physics, such as hydrogel swelling, limited diffusive domain for
smoke flow, snowflake and dendrite formation, that span from Fourier-type
to non-Fourier-type diffusive phenomena. We propose a unified convection-
diffusion formulation using this model that treats both the diffusive quan
tity and its associated flux as the primary unknowns, and that recovers th
e traditional Fourier-type diffusion as a limiting case. We design a novel
semi-implicit discretization for this formulation on staggered MAC grids
and a geometric Multigrid-preconditioned Conjugate Gradients solver for ef
ficient numerical solution. To highlight the efficacy of our method, we de
monstrate end-to-end examples of elastic porous media simulated with the M
aterial Point Method (MPM), and diffusion-driven Eulerian incompressible f
luids.\n\nRegistration Category: Ultimate Supporter, Ultimate Attendee
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