A Physically Consistent Implicit Viscosity Solver for SPH Fluids

dc.contributor.authorWeiler, Marcelen_US
dc.contributor.authorKoschier, Danen_US
dc.contributor.authorBrand, Magnusen_US
dc.contributor.authorBender, Janen_US
dc.contributor.editorGutierrez, Diego and Sheffer, Allaen_US
dc.date.accessioned2018-04-14T18:23:23Z
dc.date.available2018-04-14T18:23:23Z
dc.date.issued2018
dc.description.abstractIn this paper, we present a novel physically consistent implicit solver for the simulation of highly viscous fluids using the Smoothed Particle Hydrodynamics (SPH) formalism. Our method is the result of a theoretical and practical in-depth analysis of the most recent implicit SPH solvers for viscous materials. Based on our findings, we developed a list of requirements that are vital to produce a realistic motion of a viscous fluid. These essential requirements include momentum conservation, a physically meaningful behavior under temporal and spatial refinement, the absence of ghost forces induced by spurious viscosities and the ability to reproduce complex physical effects that can be observed in nature. On the basis of several theoretical analyses, quantitative academic comparisons and complex visual experiments we show that none of the recent approaches is able to satisfy all requirements. In contrast, our proposed method meets all demands and therefore produces realistic animations in highly complex scenarios. We demonstrate that our solver outperforms former approaches in terms of physical accuracy and memory consumption while it is comparable in terms of computational performance. In addition to the implicit viscosity solver, we present a method to simulate melting objects. Therefore, we generalize the viscosity model to a spatially varying viscosity field and provide an SPH discretization of the heat equation.en_US
dc.description.number2
dc.description.sectionheadersSimulating Fluids
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume37
dc.identifier.doi10.1111/cgf.13349
dc.identifier.issn1467-8659
dc.identifier.pages145-155
dc.identifier.urihttps://doi.org/10.1111/cgf.13349
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf13349
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectComputing methodologies
dc.subjectPhysical simulation
dc.titleA Physically Consistent Implicit Viscosity Solver for SPH Fluidsen_US
Files
Collections