A Hybrid Lagrangian/Eulerian Collocated Velocity Advection and Projection Method for Fluid Simulation

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dc.contributor.authorGagniere, Stevenen_US
dc.contributor.authorHyde, Daviden_US
dc.contributor.authorMarquez-Razon, Alanen_US
dc.contributor.authorJiang, Chenfanfuen_US
dc.contributor.authorGe, Zihengen_US
dc.contributor.authorHan, Xuchenen_US
dc.contributor.authorGuo, Qien_US
dc.contributor.authorTeran, Josephen_US
dc.contributor.editorBender, Jan and Popa, Tiberiuen_US
dc.date.accessioned2020-10-16T06:24:29Z
dc.date.available2020-10-16T06:24:29Z
dc.date.issued2020
dc.description.abstractWe present a hybrid particle/grid approach for simulating incompressible fluids on collocated velocity grids. Our approach supports both particle-based Lagrangian advection in very detailed regions of the flow and efficient Eulerian grid-based advection in other regions of the flow. A novel Backward Semi-Lagrangian method is derived to improve accuracy of grid based advection. Our approach utilizes the implicit formula associated with solutions of the inviscid Burgers' equation. We solve this equation using Newton's method enabled by C1 continuous grid interpolation. We enforce incompressibility over collocated, rather than staggered grids. Our projection technique is variational and designed for B-spline interpolation over regular grids where multiquadratic interpolation is used for velocity and multilinear interpolation for pressure. Despite our use of regular grids, we extend the variational technique to allow for cut-cell definition of irregular flow domains for both Dirichlet and free surface boundary conditions.en_US
dc.description.number8
dc.description.sectionheadersFluids 1
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume39
dc.identifier.doi10.1111/cgf.14096
dc.identifier.issn1467-8659
dc.identifier.pages1-14
dc.identifier.urihttps://doi.org/10.1111/cgf.14096
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf14096
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectMathematics of Computing
dc.subjectDiscretization
dc.subjectPartial differential equations
dc.subjectSolvers
dc.subjectApplied computing
dc.subjectPhysics
dc.titleA Hybrid Lagrangian/Eulerian Collocated Velocity Advection and Projection Method for Fluid Simulationen_US
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