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A Physically Consistent Implicit Viscosity Solver for SPH Fluids.

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Title: A Physically Consistent Implicit Viscosity Solver for SPH Fluids.
Authors: Weiler, Marcel1, Koschier, Dan2, Brand, Magnus2, Bender, Jan2
Source: Computer Graphics Forum. May2018, Vol. 37 Issue 2, p145-155. 11p. 8 Diagrams, 3 Charts, 3 Graphs.
Subjects: Viscosity, Computational hydrodynamics software, Discretization methods, Heat equation, Viscous flow
Abstract: 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. [ABSTRACT FROM AUTHOR]
Copyright of Computer Graphics Forum is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: <searchLink fieldCode="JN" term="%22Computer+Graphics+Forum%22">Computer Graphics Forum</searchLink>. May2018, Vol. 37 Issue 2, p145-155. 11p. 8 Diagrams, 3 Charts, 3 Graphs.
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  Data: <searchLink fieldCode="DE" term="%22Viscosity%22">Viscosity</searchLink><br /><searchLink fieldCode="DE" term="%22Computational+hydrodynamics+software%22">Computational hydrodynamics software</searchLink><br /><searchLink fieldCode="DE" term="%22Discretization+methods%22">Discretization methods</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+equation%22">Heat equation</searchLink><br /><searchLink fieldCode="DE" term="%22Viscous+flow%22">Viscous flow</searchLink>
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  Data: 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. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Computer Graphics Forum is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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    Identifiers:
      – Type: doi
        Value: 10.1111/cgf.13349
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 11
        StartPage: 145
    Subjects:
      – SubjectFull: Viscosity
        Type: general
      – SubjectFull: Computational hydrodynamics software
        Type: general
      – SubjectFull: Discretization methods
        Type: general
      – SubjectFull: Heat equation
        Type: general
      – SubjectFull: Viscous flow
        Type: general
    Titles:
      – TitleFull: A Physically Consistent Implicit Viscosity Solver for SPH Fluids.
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            NameFull: Weiler, Marcel
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            NameFull: Koschier, Dan
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            NameFull: Brand, Magnus
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            NameFull: Bender, Jan
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            – D: 01
              M: 05
              Text: May2018
              Type: published
              Y: 2018
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            – TitleFull: Computer Graphics Forum
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