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DTSTART:19820101T123000
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BEGIN:VEVENT
DTSTAMP:20201212T050106Z
LOCATION:Zoom Room 7
DTSTART;TZID=Asia/Singapore:20201210T133600
DTEND;TZID=Asia/Singapore:20201210T134200
UID:siggraphasia_SIGGRAPH Asia 2020_sess110_papers_194@linklings.com
SUMMARY:RBF Liquids: An Adaptive PIC Solver Using RBF-FD
DESCRIPTION:Technical Papers, Technical Papers Q&A\n\nRBF Liquids: An Adap
tive PIC Solver Using RBF-FD\n\nNakanishi, Nascimento, Campos, Pagliosa, P
aiva\n\nWe introduce a novel liquid simulation approach that combines a sp
atially adaptive pressure projection solver with the Particle-in-Cell (PIC
) method. The solver relies on a generalized version of the Finite Differe
nce (FD) method to approximate the pressure field and its gradients in tre
e-based grid discretizations, possibly non-graded. In our approach, FD ste
ncils are computed by using meshfree interpolations provided by a variant
of Radial Basis Function (RBF), known as RBF-Finite-Difference (RBF-FD).
This meshfree version of the FD produces differentiation weights on scatte
red nodes with high-order accuracy. Our method adapts a quadtree/octree dy
namically in a narrow-band around the liquid interface, providing an adapt
ive particle sampling for the PIC advection step. Furthermore, RBF affords
an accurate scheme for velocity transfer between the grid and particles,
keeping the system's stability and avoiding numerical dissipation. We als
o present a data structure that connects the spatial subdivision of a quad
tree/octree with the topology of its corresponding dual-graph. Our data st
ructure makes the setup of stencils straightforward, allowing its updating
without the need to rebuild it from scratch at each time-step. We show th
e effectiveness and accuracy of our solver by simulating some incompressib
le inviscid fluids and comparing some results with regular PIC-based solve
rs available in the literature.\n\nRegistration Category: Ultimate Support
er, Ultimate Attendee
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