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A Physically Consistent Implicit Viscosity Solver for SPH Fluids

Weiler, M; Koschier, D; Brand, M; Bender, J; (2018) A Physically Consistent Implicit Viscosity Solver for SPH Fluids. Computer Graphics Forum , 37 (2) pp. 145-155. 10.1111/cgf.13349. Green open access

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Abstract

In 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.

Type: Article
Title: A Physically Consistent Implicit Viscosity Solver for SPH Fluids
Open access status: An open access version is available from UCL Discovery
DOI: 10.1111/cgf.13349
Publisher version: https://doi.org/10.1111/cgf.13349
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Computing methodologies, Physical simulation
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
URI: https://discovery.ucl.ac.uk/id/eprint/10056692
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