Modeling surface tension in compressible flow on an adaptively refined mesh

Jibben, Zechariah Joel; Velechovsky, Jan; Masser, Thomas; Francois, Marianne M.

doi:10.1016/j.camwa.2018.09.012

Title: Modeling surface tension in compressible flow on an adaptively refined mesh

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Abstract

In this paper, we present a numerical approach to model surface tension between immiscible materials within an inviscid compressible flow solver. The material interface is represented using the volume of fluid technique with piecewise-linear interface reconstructions. We employ the continuum surface force to model surface tension, and have implemented it in the context of the MUSCL-Hancock finite volume method for the Euler equations on an adaptively refined Eulerian mesh. Finally, we show results from droplet verification tests, the Rayleigh–Taylor instability linear regime, and simulate a 2D shock–droplet interaction.

Authors:

^[1]; Velechovsky, Jan ^[1]; Masser, Thomas ^[1];

^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: 2018-09-27

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1477653

Alternate Identifier(s):: OSTI ID: 1636879

Report Number(s):: LA-UR-17-30636
Journal ID: ISSN 0898-1221

Grant/Contract Number:: AC52-06NA25396

Resource Type:: Accepted Manuscript

Journal Name:: Computers and Mathematics with Applications (Oxford)

Additional Journal Information:: Journal Name: Computers and Mathematics with Applications (Oxford); Journal Volume: 78; Journal Issue: 2; Journal ID: ISSN 0898-1221

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; 97 MATHEMATICS AND COMPUTING; Compressible flow; Surface tension; AMR

Citation Formats


                    Jibben, Zechariah Joel, Velechovsky, Jan, Masser, Thomas, and Francois, Marianne M. Modeling surface tension in compressible flow on an adaptively refined mesh.  United States: N. p., 2018. 
Web.  doi:10.1016/j.camwa.2018.09.012.

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                    Jibben, Zechariah Joel, Velechovsky, Jan, Masser, Thomas, & Francois, Marianne M. Modeling surface tension in compressible flow on an adaptively refined mesh.  United States.  https://doi.org/10.1016/j.camwa.2018.09.012

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                    Jibben, Zechariah Joel, Velechovsky, Jan, Masser, Thomas, and Francois, Marianne M. Thu .  
"Modeling surface tension in compressible flow on an adaptively refined mesh".  United States.  https://doi.org/10.1016/j.camwa.2018.09.012.  https://www.osti.gov/servlets/purl/1477653.

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@article{osti_1477653,

  title        = {Modeling surface tension in compressible flow on an adaptively refined mesh},

  author       = {Jibben, Zechariah Joel and Velechovsky, Jan and Masser, Thomas and Francois, Marianne M.},

  abstractNote = {In this paper, we present a numerical approach to model surface tension between immiscible materials within an inviscid compressible flow solver. The material interface is represented using the volume of fluid technique with piecewise-linear interface reconstructions. We employ the continuum surface force to model surface tension, and have implemented it in the context of the MUSCL-Hancock finite volume method for the Euler equations on an adaptively refined Eulerian mesh. Finally, we show results from droplet verification tests, the Rayleigh–Taylor instability linear regime, and simulate a 2D shock–droplet interaction.},

  doi          = {10.1016/j.camwa.2018.09.012},

  journal      = {Computers and Mathematics with Applications (Oxford)},

  number       = 2,

  volume       = 78,

  place        = {United States},

  year         = {2018},

  month        = {9}

}

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