A Semi-Lagrangian CIP Fluid Solver without Dimensional Splitting

dc.contributor.authorKim, Doyuben_US
dc.contributor.authorSong, Oh-youngen_US
dc.contributor.authorKo, Hyeong-Seoken_US
dc.date.accessioned2015-02-21T16:19:10Z
dc.date.available2015-02-21T16:19:10Z
dc.date.issued2008en_US
dc.description.abstractIn this paper, we propose a new constrained interpolation profile (CIP) method that is stable and accurate but requires less amount of computation compared to existing CIP-based solvers. CIP is a high-order fluid advection solver that can reproduce rich details of fluids. It has third-order accuracy but its computation is performed over a compact stencil. These advantageous features of CIP are, however, diluted by the following two shortcomings: (1) CIP contains a defect in the utilization of the grid data, which makes the method suitable only for simulations with a tight CFL restriction; and (2) CIP does not guarantee unconditional stability. There have been several attempts to fix these problems in CIP, but they have been only partially successful. The solutions that fixed both problems ended up introducing other undesirable features, namely increased computation time and/or reduced accuracy. This paper proposes a novel modification of the original CIP method that fixes all of the above problems without increasing the computational load or reducing the accuracy. Both quantitative and visual experiments were performed to test the performance of the new CIP in comparison to existing fluid solvers. The results show that the proposed method brings significant improvements in both accuracy and speed.en_US
dc.description.number2en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume27en_US
dc.identifier.doi10.1111/j.1467-8659.2008.01144.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages467-475en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2008.01144.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltden_US
dc.titleA Semi-Lagrangian CIP Fluid Solver without Dimensional Splittingen_US
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