Density Maps for Improved SPH Boundary Handling

dc.contributor.authorKoschier, Danen_US
dc.contributor.authorBender, Janen_US
dc.contributor.editorBernhard Thomaszewski and KangKang Yin and Rahul Narainen_US
dc.date.accessioned2017-12-31T10:44:23Z
dc.date.available2017-12-31T10:44:23Z
dc.date.issued2017
dc.description.abstractIn this paper, we present the novel concept of density maps for robust handling of static and rigid dynamic boundaries in fluid simulations based on Smoothed Particle Hydrodynamics (SPH). In contrast to the vast majority of existing approaches, we use an implicit discretization for a continuous extension of the density field throughout solid boundaries. Using the novel representation we enhance accuracy and efficiency of density and density gradient evaluations in boundary regions by computationally efficient lookups into our density maps. The map is generated in a preprocessing step and discretizes the density contribution in the boundary's near-field. In consequence of the high regularity of the continuous boundary density field, we use cubic Lagrange polynomials on a narrow-band structure of a regular grid for discretization. This strategy not only removes the necessity to sample boundary surfaces with particles but also decouples the particle size from the number of sample points required to represent the boundary. Moreover, it solves the ever-present problem of particle deficiencies near the boundary. In several comparisons we show that the representation is more accurate than particle samplings, especially for smooth curved boundaries. We further demonstrate that our approach robustly handles scenarios with highly complex boundaries and even outperforms one of the most recent sampling based techniques.en_US
dc.description.sectionheadersPapers I: SPH Fluids
dc.description.seriesinformationEurographics/ ACM SIGGRAPH Symposium on Computer Animation
dc.identifier.doi10.1145/3099564.3099565
dc.identifier.isbn978-1-4503-5091-4
dc.identifier.issn1727-5288
dc.identifier.pagesDan Koschier and Jan Bender-Computing methodologies-Physical simulation; Smoothed Particle Hydrodynamics, boundary handling, implicit representation, incompressible fluids
dc.identifier.urihttps://doi.org/10.1145/3099564.3099565
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1145/3099564-3099565
dc.publisherACMen_US
dc.subjectComputing methodologies
dc.subjectPhysical simulation
dc.subjectSmoothed Particle Hydrodynamics
dc.subjectboundary handling
dc.subjectimplicit representation
dc.subjectincompressible fluids
dc.titleDensity Maps for Improved SPH Boundary Handlingen_US
Files