PhD Seminar • Computer Graphics | Scientific Computing — Divergence-Free and Boundary-Respecting Velocity Interpolation Using Stream FunctionsExport this event to calendar

Monday, December 7, 2020 — 2:00 PM EST

Please note: This PhD seminar will be given online.

Jumyung “JC” Chang, PhD candidate
David R. Cheriton School of Computer Science

Supervisor: Professor Christopher Batty

In grid-based fluid simulation, discrete incompressibility of each cell is enforced by the pressure projection. However, pointwise velocities constructed by interpolating the discrete velocity samples from the staggered grid are not truly divergence-free, resulting in unphysical local volume changes that manifests as particle spreading and clustering.

We present a new velocity interpolation method that produces analytically divergence-free velocity fields in 2D (and 3D) using a stream function. The resulting fields are guaranteed to be divergence-free by a simple calculus identity: the curl of any vector field yields a divergence-free vector field. Furthermore, our method works on cut cell grids to produce fields that strictly obey solid boundary conditions. Therefore, no artificial gaps are created between fluid particles and solids, and fluid particles do not trespass into solid regions.


To join this PhD seminar on MS Teams, please go to https://teams.microsoft.com/l/meetup-join/19%3ameeting_MzU0NzdjZmMtNjg3Yy00YjdmLTk3MGUtMWEwMzA1MGI0NGIx%40thread.v2/0?context=%7b"Tid"%3a"723a5a87-f39a-4a22-9247-3fc240c01396"%2c"Oid"%3a"a19a9d53-a3f4-40d5-9078-cf54abd59696"%2c"MessageId"%3a"0"%7d.

Location 
Online PhD seminar
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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