Divergence-Free and Boundary-Respecting Velocity Interpolation Using Stream Functions

Simple item page
dc.contributor.authorChang, Jumyungen_US
dc.contributor.authorAzevedo, Vinicius C.en_US
dc.contributor.authorBatty, Christopheren_US
dc.contributor.editorBatty, Christopher and Huang, Jinen_US
dc.date.accessioned2019-11-22T13:23:12Z
dc.date.available2019-11-22T13:23:12Z
dc.date.issued2019
dc.description.abstractIn 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 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.en_US
dc.description.sectionheadersPosters
dc.description.seriesinformationEurographics/ ACM SIGGRAPH Symposium on Computer Animation
dc.identifier.doi10.1145/3309486.3339890
dc.identifier.isbn978-1-4503-6677-9
dc.identifier.issn1727-5288
dc.identifier.urihttps://doi.org/10.1145/3309486.3339890
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1145/3309486-3339890
dc.publisherACMen_US
dc.titleDivergence-Free and Boundary-Respecting Velocity Interpolation Using Stream Functionsen_US
Files
Collections
SCA 19: Eurographics/SIGGRAPH Symposium on Computer Animation