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Interface reconstruction and advection schemes for volume of fluid method in axisymmetric coordinates

Mohan, A and Tomar, G (2021) Interface reconstruction and advection schemes for volume of fluid method in axisymmetric coordinates. In: Journal of Computational Physics, 446 .

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Official URL: https://doi.org/10.1016/j.jcp.2021.110663

Abstract

Volume of fluid (VOF) method is a sharp interface method employed for simulations of two phase flows. Interface in VOF is usually represented using piecewise linear line segments in each computational grid based on the volume fraction field. While VOF for cartesian coordinates conserve mass exactly, existing algorithms do not show machine-precision mass conservation for axisymmetric coordinate systems. In this work, we propose analytic formulae for interface reconstruction in axisymmetric coordinates, similar to those proposed by Scardovelli and Zaleski (2000) 12 for cartesian coordinates. We also propose modifications to the existing advection schemes in VOF for axisymmetric coordinates to obtain higher accuracy in mass conservation. © 2021 Elsevier Inc.

Item Type: Journal Article
Publication: Journal of Computational Physics
Publisher: Academic Press Inc.
Additional Information: The copyright for this article belongs to Authors
Keywords: Piecewise linear techniques; Two phase flow, Cartesian coordinate; Co-ordinate system; Computational grids; Interface reconstruction; Machine precision; Mass conservation; Sharp interface methods; Volume of fluid method, Advection
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 03 Dec 2021 07:06
Last Modified: 03 Dec 2021 07:06
URI: http://eprints.iisc.ac.in/id/eprint/70129

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