article

Interface pressure calculation based on conservation of momentum for front capturing methods

Authors:

J. MostaghimiAuthors Info & Claims

Journal of Computational Physics, Volume 203, Issue 1

Pages 154 - 175

https://doi.org/10.1016/j.jcp.2004.08.017

Published: 10 February 2005 Publication History

Abstract

A new method for the calculation of interface pressure for front capturing methods is developed. This method is based on the calculation of the pressure force at each interfacial cell face using the exact pressure due to the portion of the cell face that is occupied by each fluid. Special formulations for the pressure in the interfacial cells are derived for different orientations of an interface. This method (referred to as pressure calculation based on the interface location (PCIL)) is applied to the time evolution of a two-dimensional initially stagnant liquid drop in a gas, as well as, a gas bubble in liquid (gravity effects are not considered). A two-fluid, PLIC-VOF method is used to simulate the flow numerically. Both the continuum surface force (CSF) and the continuum surface stress (CSS) methods are used. A wide range of Ohnesorge numbers and density and viscosity ratios of two fluids are tested. It is shown that the new method reduces the spurious currents by up to three orders of magnitude for the cases tested.

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Cited By

Hosseini BTurek SMller MPalmes C(2017)Isogeometric Analysis of the NavierStokesCahnHilliard equations with application to incompressible two-phase flowsJournal of Computational Physics10.1016/j.jcp.2017.07.029348:C(171-194)Online publication date: 1-Nov-2017
https://dl.acm.org/doi/10.1016/j.jcp.2017.07.029
Golpaygan AAshgriz N(2008)Multiphase flow model to study channel flow dynamics of PEM fuel cellsInternational Journal of Computational Fluid Dynamics10.1080/1061856070173370722:1-2(85-95)Online publication date: 1-Jan-2008
https://dl.acm.org/doi/10.1080/10618560701733707
Jafari AShirani EAshgriz N(2007)An improved three-dimensional model for interface pressure calculations in free-surface flowsInternational Journal of Computational Fluid Dynamics10.1080/1061856070144091521:2(87-97)Online publication date: 1-Feb-2007
https://dl.acm.org/doi/10.1080/10618560701440915
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Index Terms

Interface pressure calculation based on conservation of momentum for front capturing methods
1. Mathematics of computing
  1. Mathematical analysis
    1. Differential equations
      1. Partial differential equations
    2. Numerical analysis
      1. Numerical differentiation
2. Theory of computation
  1. Design and analysis of algorithms
  2. Randomness, geometry and discrete structures
    1. Computational geometry

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cover image Journal of Computational Physics

Journal of Computational Physics Volume 203, Issue 1

10 February 2005

373 pages

ISSN:0021-9991

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Copyright © Elsevier Inc. © 2004.

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Academic Press Professional, Inc.

United States

Publication History

Published: 10 February 2005

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Cited By

Hosseini BTurek SMller MPalmes C(2017)Isogeometric Analysis of the NavierStokesCahnHilliard equations with application to incompressible two-phase flowsJournal of Computational Physics10.1016/j.jcp.2017.07.029348:C(171-194)Online publication date: 1-Nov-2017
https://dl.acm.org/doi/10.1016/j.jcp.2017.07.029
Golpaygan AAshgriz N(2008)Multiphase flow model to study channel flow dynamics of PEM fuel cellsInternational Journal of Computational Fluid Dynamics10.1080/1061856070173370722:1-2(85-95)Online publication date: 1-Jan-2008
https://dl.acm.org/doi/10.1080/10618560701733707
Jafari AShirani EAshgriz N(2007)An improved three-dimensional model for interface pressure calculations in free-surface flowsInternational Journal of Computational Fluid Dynamics10.1080/1061856070144091521:2(87-97)Online publication date: 1-Feb-2007
https://dl.acm.org/doi/10.1080/10618560701440915
Tong AWang Z(2007)A numerical method for capillarity-dominant free surface flowsJournal of Computational Physics10.1016/j.jcp.2006.06.034221:2(506-523)Online publication date: 1-Feb-2007
https://dl.acm.org/doi/10.1016/j.jcp.2006.06.034
Yang BProsperetti A(2006)A second-order boundary-fitted projection method for free-surface flow computationsJournal of Computational Physics10.1016/j.jcp.2005.08.025213:2(574-590)Online publication date: 10-Apr-2006
https://dl.acm.org/doi/10.1016/j.jcp.2005.08.025
Francois MCummins SDendy EKothe DSicilian JWilliams M(2006)A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking frameworkJournal of Computational Physics10.1016/j.jcp.2005.08.004213:1(141-173)Online publication date: 20-Mar-2006
https://dl.acm.org/doi/10.1016/j.jcp.2005.08.004

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