Fast Corotated Elastic SPH Solids with Implicit Zero-Energy Mode Control

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dc.contributor.authorKugelstadt, Tassiloen_US
dc.contributor.authorBender, Janen_US
dc.contributor.authorFernández-Fernández, José Antonioen_US
dc.contributor.authorJeske, Stefan Rhysen_US
dc.contributor.authorLöschner, Fabianen_US
dc.contributor.authorLongva, Andreasen_US
dc.contributor.editorNarain, Rahul and Neff, Michael and Zordan, Victoren_US
dc.date.accessioned2022-02-07T13:32:33Z
dc.date.available2022-02-07T13:32:33Z
dc.date.issued2021
dc.description.abstractWe develop a new operator splitting formulation for the simulation of corotated linearly elastic solids with Smoothed Particle Hydrodynamics (SPH). Based on the technique of Kugelstadt et al. [2018] originally developed for the Finite Element Method (FEM), we split the elastic energy into two separate terms corresponding to stretching and volume conservation, and based on this principle, we design a splitting scheme compatible with SPH. The operator splitting scheme enables us to treat the two terms separately, and because the stretching forces lead to a stiffness matrix that is constant in time, we are able to prefactor the system matrix for the implicit integration step. Solid-solid contact and fluid-solid interaction is achieved through a unified pressure solve. We demonstrate more than an order of magnitude improvement in computation time compared to a state-of-the-art SPH simulator for elastic solids. We further improve the stability and reliability of the simulation through several additional contributions. We introduce a new implicit penalty mechanism that suppresses zero-energy modes inherent in the SPH formulation for elastic solids, and present a new, physics-inspired sampling algorithm for generating highquality particle distributions for the rest shape of an elastic solid. We finally also devise an efficient method for interpolating vertex positions of a high-resolution surface mesh based on the SPH particle positions for use in high-fidelity visualization.en_US
dc.description.number3
dc.description.sectionheaderspapers
dc.description.seriesinformationProceedings of the ACM on Computer Graphics and Interactive Techniques
dc.description.volume4
dc.identifier.doi10.1145/3480142
dc.identifier.issn2577-6193
dc.identifier.urihttps://doi.org/10.1145/3480142
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1145/3480142
dc.publisherACMen_US
dc.subjectComputing methodologies
dc.subjectPhysical simulation
dc.subjectSmoothed Particle Hydrodynamics
dc.subjectdeformable solids
dc.subjectfluid simulation
dc.subjectsolid
dc.subjectfluid coupling
dc.titleFast Corotated Elastic SPH Solids with Implicit Zero-Energy Mode Controlen_US
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