research-article

Compressive VOF method with skewness correction to capture sharp interfaces on arbitrary meshes

Authors:

Berend G.M. van WachemAuthors Info & Claims

Journal of Computational Physics, Volume 279, Issue C

Pages 127 - 144

https://doi.org/10.1016/j.jcp.2014.09.002

Published: 15 December 2014 Publication History

Abstract

The accurate and efficient modelling of two-phase flows is at present mostly limited to structured, unskewed meshes, due to the additional topological and numerical complexity of arbitrary, unstructured meshes. Compressive VOF methods which discretize the interface advection with algebraic differencing schemes are computationally efficient and inherently applicable to arbitrary meshes. However, compressive VOF methods evidently suffer severely from numerical diffusion on meshes with topological skewness. In this paper we present a compressive VOF method using a state-of-the-art donor-acceptor advection scheme which includes novel modifications to substantially reduce numerical diffusion on arbitrary meshes without adding computational complexity. The new methodology accurately captures evolving interfaces on any arbitrary, non-overlapping mesh and conserves mass within the limits of the applied solver tolerance. A thorough validation of the presented methods is conducted, examining the pure advection of the interface indicator function as well as the application to evolving interfaces with surface tension. Crucially, the results on equidistant Cartesian and arbitrary tetrahedral meshes are shown to be comparable and accurate.

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Cited By

Hill SDeising DAcher TKlein HBothe DMarschall H(2018)Boundedness-preserving implicit correction of mesh-induced errors for VOF based heat and mass transferJournal of Computational Physics10.1016/j.jcp.2017.09.027352:C(285-300)Online publication date: 1-Jan-2018
https://dl.acm.org/doi/10.1016/j.jcp.2017.09.027
Denner Fvan Wachem B(2015)TVD differencing on three-dimensional unstructured meshes with monotonicity-preserving correction of mesh skewnessJournal of Computational Physics10.1016/j.jcp.2015.06.008298:C(466-479)Online publication date: 1-Oct-2015
https://dl.acm.org/doi/10.1016/j.jcp.2015.06.008
Denner Fvan Wachem B(2015)Numerical time-step restrictions as a result of capillary wavesJournal of Computational Physics10.1016/j.jcp.2015.01.021285:C(24-40)Online publication date: 15-Mar-2015
https://dl.acm.org/doi/10.1016/j.jcp.2015.01.021

Compressive VOF method with skewness correction to capture sharp interfaces on arbitrary meshes
1. Computing methodologies
  1. Modeling and simulation
    1. Model development and analysis
2. Theory of computation

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Published In

cover image Journal of Computational Physics

Journal of Computational Physics Volume 279, Issue C

December 2014

290 pages

ISSN:0021-9991

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Copyright © Elsevier Inc.

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Academic Press Professional, Inc.

United States

Publication History

Published: 15 December 2014

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Cited By

Hill SDeising DAcher TKlein HBothe DMarschall H(2018)Boundedness-preserving implicit correction of mesh-induced errors for VOF based heat and mass transferJournal of Computational Physics10.1016/j.jcp.2017.09.027352:C(285-300)Online publication date: 1-Jan-2018
https://dl.acm.org/doi/10.1016/j.jcp.2017.09.027
Denner Fvan Wachem B(2015)TVD differencing on three-dimensional unstructured meshes with monotonicity-preserving correction of mesh skewnessJournal of Computational Physics10.1016/j.jcp.2015.06.008298:C(466-479)Online publication date: 1-Oct-2015
https://dl.acm.org/doi/10.1016/j.jcp.2015.06.008
Denner Fvan Wachem B(2015)Numerical time-step restrictions as a result of capillary wavesJournal of Computational Physics10.1016/j.jcp.2015.01.021285:C(24-40)Online publication date: 15-Mar-2015
https://dl.acm.org/doi/10.1016/j.jcp.2015.01.021

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