Semi-analytical Solid Boundary Conditions for Free Surface Flows

dc.contributor.authorChang, Yueen_US
dc.contributor.authorLiu, Shusenen_US
dc.contributor.authorHe, Xiaoweien_US
dc.contributor.authorLi, Shengen_US
dc.contributor.authorWang, Guopingen_US
dc.contributor.editorEisemann, Elmar and Jacobson, Alec and Zhang, Fang-Lueen_US
dc.date.accessioned2020-10-29T18:50:14Z
dc.date.available2020-10-29T18:50:14Z
dc.date.issued2020
dc.description.abstractThe treatment of solid boundary conditions remains one of the most challenging parts in the SPH method. We present a semianalytical approach to handle complex solid boundaries of arbitrary shape. Instead of calculating a renormalizing factor for the particle near the boundary, we propose to calculate the volume integral inside the solid boundary under the local spherical frame of a particle. By converting the volume integral into a surface integral, a computer aided design (CAD) mesh file representing the boundary can be naturally integrated for particle simulations. To accelerate the search for a particle's neighboring triangles, a uniform grid is applied to store indices of intersecting triangles. The new semi-analytical solid boundary handling approach is integrated into a position-based method [MM13] as well as a projection-based [HWW*20] to demonstrate its effectiveness in handling complex boundaries. Experiments show that our method is able to achieve comparable results with those simulated using ghost particles. In addition, since our method requires no boundary particles for deforming surfaces, our method is flexible enough to handle complex solid boundaries, including sharp corners and shells.en_US
dc.description.number7
dc.description.sectionheadersPhysics and Graphics
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume39
dc.identifier.doi10.1111/cgf.14132
dc.identifier.issn1467-8659
dc.identifier.pages131-141
dc.identifier.urihttps://doi.org/10.1111/cgf.14132
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf14132
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectComputing methodologies
dc.subjectPhysical simulation
dc.titleSemi-analytical Solid Boundary Conditions for Free Surface Flowsen_US
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