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Title: Filament capturing with the multimaterial moment-of-fluid method*

Abstract

A novel method for capturing two-dimensional, thin, under-resolved material configurations, known as “filaments,” is presented in the context of interface reconstruction. This technique uses a partitioning procedure to detect disconnected regions of material in the advective preimage of a cell (indicative of a filament) and makes use of the existing functionality of the Multimaterial Moment-of-Fluid interface reconstruction method to accurately capture the under-resolved feature, while exactly conserving volume. An algorithm for Adaptive Mesh Refinement in the presence of filaments is developed so that refinement is introduced only near the tips of filaments and where the Moment-of-Fluid reconstruction error is still large. Comparison to the standard Moment-of-Fluid method is made. As a result, it is demonstrated that using filament capturing at a given resolution yields gains in accuracy comparable to introducing an additional level of mesh refinement at significantly lower cost.

Authors:
 [1];  [1];  [2]
  1. Florida State Univ., Tallahassee, FL (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
OSTI Identifier:
1247141
Alternate Identifier(s):
OSTI ID: 1477814
Report Number(s):
LA-UR-15-20361
Journal ID: ISSN 0021-9991; PII: S0021999115000182
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 285; Journal Issue: C; Journal ID: ISSN 0021-9991
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; interface reconstruction; moving boundary problem; moment-of-fluid method; filament capturing

Citation Formats

Jemison, Matthew, Sussman, Mark, and Shashkov, Mikhail. Filament capturing with the multimaterial moment-of-fluid method*. United States: N. p., 2015. Web. doi:10.1016/j.jcp.2015.01.014.
Jemison, Matthew, Sussman, Mark, & Shashkov, Mikhail. Filament capturing with the multimaterial moment-of-fluid method*. United States. https://doi.org/10.1016/j.jcp.2015.01.014
Jemison, Matthew, Sussman, Mark, and Shashkov, Mikhail. Thu . "Filament capturing with the multimaterial moment-of-fluid method*". United States. https://doi.org/10.1016/j.jcp.2015.01.014. https://www.osti.gov/servlets/purl/1247141.
@article{osti_1247141,
title = {Filament capturing with the multimaterial moment-of-fluid method*},
author = {Jemison, Matthew and Sussman, Mark and Shashkov, Mikhail},
abstractNote = {A novel method for capturing two-dimensional, thin, under-resolved material configurations, known as “filaments,” is presented in the context of interface reconstruction. This technique uses a partitioning procedure to detect disconnected regions of material in the advective preimage of a cell (indicative of a filament) and makes use of the existing functionality of the Multimaterial Moment-of-Fluid interface reconstruction method to accurately capture the under-resolved feature, while exactly conserving volume. An algorithm for Adaptive Mesh Refinement in the presence of filaments is developed so that refinement is introduced only near the tips of filaments and where the Moment-of-Fluid reconstruction error is still large. Comparison to the standard Moment-of-Fluid method is made. As a result, it is demonstrated that using filament capturing at a given resolution yields gains in accuracy comparable to introducing an additional level of mesh refinement at significantly lower cost.},
doi = {10.1016/j.jcp.2015.01.014},
journal = {Journal of Computational Physics},
number = C,
volume = 285,
place = {United States},
year = {Thu Jan 15 00:00:00 EST 2015},
month = {Thu Jan 15 00:00:00 EST 2015}
}

Journal Article:

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Cited by: 24 works
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Works referenced in this record:

Multi-material interface reconstruction on generalized polyhedral meshes
journal, October 2007


Adaptive moment-of-fluid method
journal, May 2009


Smooth, Volume-Accurate Material Interface Reconstruction
journal, September 2010

  • Anderson, John C.; Garth, Christoph; Duchaineau, Mark A.
  • IEEE Transactions on Visualization and Computer Graphics, Vol. 16, Issue 5
  • DOI: 10.1109/TVCG.2010.17

Coupling of the Interface Tracking and the Two-Fluid Models for the Simulation of Incompressible Two-Phase Flow
journal, August 2001

  • C̆erne, Gregor; Petelin, Stojan; Tiselj, Iztok
  • Journal of Computational Physics, Vol. 171, Issue 2
  • DOI: 10.1006/jcph.2001.6810

Reconstruction of multi-material interfaces from moment data
journal, May 2008


A Hybrid Particle Level Set Method for Improved Interface Capturing
journal, November 2002

  • Enright, Douglas; Fedkiw, Ronald; Ferziger, Joel
  • Journal of Computational Physics, Vol. 183, Issue 1
  • DOI: 10.1006/jcph.2002.7166

A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows
journal, June 2012

  • Jemison, Matthew; Loch, Eva; Sussman, Mark
  • Journal of Scientific Computing, Vol. 54, Issue 2-3
  • DOI: 10.1007/s10915-012-9614-7

A gradient-augmented level set method with an optimally local, coherent advection scheme
journal, May 2010

  • Nave, Jean-Christophe; Rosales, Rodolfo Ruben; Seibold, Benjamin
  • Journal of Computational Physics, Vol. 229, Issue 10
  • DOI: 10.1016/j.jcp.2010.01.029

High-fidelity interface tracking in compressible flows: Unlimited anchored adaptive level set
journal, June 2007


On improving mass conservation of level set by reducing spatial discretization errors
journal, December 2005


A PDE-Based Fast Local Level Set Method
journal, November 1999

  • Peng, Danping; Merriman, Barry; Osher, Stanley
  • Journal of Computational Physics, Vol. 155, Issue 2
  • DOI: 10.1006/jcph.1999.6345

Advecting normal vectors: A new method for calculating interface normals and curvatures when modeling two-phase flows
journal, September 2007

  • Raessi, M.; Mostaghimi, J.; Bussmann, M.
  • Journal of Computational Physics, Vol. 226, Issue 1
  • DOI: 10.1016/j.jcp.2007.04.023

PROST: A Parabolic Reconstruction of Surface Tension for the Volume-of-Fluid Method
journal, December 2002

  • Renardy, Yuriko; Renardy, Michael
  • Journal of Computational Physics, Vol. 183, Issue 2
  • DOI: 10.1006/jcph.2002.7190

Modeling Three-Dimensional Multiphase Flow Using a Level Contour Reconstruction Method for Front Tracking without Connectivity
journal, August 2002

  • Shin, Seungwon; Juric, Damir
  • Journal of Computational Physics, Vol. 180, Issue 2
  • DOI: 10.1006/jcph.2002.7086

Volume-of-fluid algorithm with different modified dynamic material ordering methods and their comparisons
journal, May 2010


A grid based particle method for moving interface problems
journal, May 2009


A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion
journal, April 2011

  • Leung, Shingyu; Lowengrub, John; Zhao, Hongkai
  • Journal of Computational Physics, Vol. 230, Issue 7
  • DOI: 10.1016/j.jcp.2010.12.029

An Adaptive Level Set Approach for Incompressible Two-Phase Flows
journal, January 1999

  • Sussman, Mark; Almgren, Ann S.; Bell, John B.
  • Journal of Computational Physics, Vol. 148, Issue 1
  • DOI: 10.1006/jcph.1998.6106

A Discontinuous Spectral Element Method for the Level Set Equation
journal, January 2003

  • Sussman, Mark; Hussaini, M. Y.
  • Journal of Scientific Computing, Vol. 19, Issue 1/3, p. 479-500
  • DOI: 10.1023/A:1025328714359

A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow
journal, September 1994

  • Sussman, Mark; Smereka, Peter; Osher, Stanley
  • Journal of Computational Physics, Vol. 114, Issue 1
  • DOI: 10.1006/jcph.1994.1155

A new interface tracking method: The polygonal area mapping method
journal, April 2008