Volume tracking of interfaces having surface tension in two and three dimensions

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Solution algorithms are presented for tracking interfaces with piecewise linear (PLIC) volume-of-fluid (VOF) methods on fixed (Eulerian) two-dimensional (2-D) structured and three-dimensional (3-D) structured and unstructured grids. We review the theory of volume tracking methods, derive appropriate volume evolution equations, identify and present solutions to the basic geometric functions needed for interface reconstruction and volume fluxing, and provide detailed algorithm templates for modern 2-D and 3-D PLIC VOF interface tracking methods. We discuss some key outstanding issues for PLIC VOF methods, namely the method used for time integration of fluid volumes (operator splitting, unsplit, Runge-Kutta, etc.) and the estimation of ... continued below

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20 p.

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Kothe, D.B.; Rider, W.J.; Mosso, S.J.; Brock, J.S. & Hochstein, J.I. March 1, 1996.

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Description

Solution algorithms are presented for tracking interfaces with piecewise linear (PLIC) volume-of-fluid (VOF) methods on fixed (Eulerian) two-dimensional (2-D) structured and three-dimensional (3-D) structured and unstructured grids. We review the theory of volume tracking methods, derive appropriate volume evolution equations, identify and present solutions to the basic geometric functions needed for interface reconstruction and volume fluxing, and provide detailed algorithm templates for modern 2-D and 3-D PLIC VOF interface tracking methods. We discuss some key outstanding issues for PLIC VOF methods, namely the method used for time integration of fluid volumes (operator splitting, unsplit, Runge-Kutta, etc.) and the estimation of interface normals. We also present our latest developments in the continuum surface force (CSF) model for surface tension, namely extension to 3-D and variable surface tension effects. We identify and focus on key outstanding CSF model issues that become especially critical on fine meshes with high density ratio interfacial flows, namely the surface delta function approximation, the estimation of interfacial curvature, and the continuum surface force scaling and/or smoothing model. Numerical results in two and three dimensions are used to illustrate the properties of these methods.

Physical Description

20 p.

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OSTI as DE96007178

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  • 34. American Institute of Aeronautics and Astronautics (AIAA) aerospace sciences meeting, Reno, NV (United States), 15-18 Jan 1996

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  • Other: DE96007178
  • Report No.: LA-UR--96-0088
  • Report No.: CONF-960162--3
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 219267
  • Archival Resource Key: ark:/67531/metadc669588

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  • March 1, 1996

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  • June 29, 2015, 9:42 p.m.

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  • Feb. 29, 2016, 12:43 p.m.

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Kothe, D.B.; Rider, W.J.; Mosso, S.J.; Brock, J.S. & Hochstein, J.I. Volume tracking of interfaces having surface tension in two and three dimensions, article, March 1, 1996; New Mexico. (digital.library.unt.edu/ark:/67531/metadc669588/: accessed August 18, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.