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

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:
ORCiD logo [1];  [1];  [1]; ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1477653
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 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.
Jibben, Zechariah Joel, Velechovsky, Jan, Masser, Thomas, & Francois, Marianne M. Modeling surface tension in compressible flow on an adaptively refined mesh. United States. doi:10.1016/j.camwa.2018.09.012.
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. doi:10.1016/j.camwa.2018.09.012. https://www.osti.gov/servlets/purl/1477653.
@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 = ,
volume = ,
place = {United States},
year = {2018},
month = {9}
}

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