An interface reconstruction method based on an analytical formula for 3D arbitrary convex cells

Diot, Steven; François, Marianne M.

doi:10.1016/j.jcp.2015.10.011

Title: An interface reconstruction method based on an analytical formula for 3D arbitrary convex cells

Journal Article · Thu Oct 22 00:00:00 EDT 2015 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2015.10.011· OSTI ID:1325632

^[1]; François, Marianne M. ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Fluid Dynamics and Solid Mechanics (T-3)

In this study, we are interested in an interface reconstruction method for 3D arbitrary convex cells that could be used in multi-material flow simulations for instance. We assume that the interface is represented by a plane whose normal vector is known and we focus on the volume-matching step that consists in finding the plane constant so that it splits the cell according to a given volume fraction. We follow the same approach as in the recent authors' publication for 2D arbitrary convex cells in planar and axisymmetrical geometries, namely we derive an analytical formula for the volume of the specific prismatoids obtained when decomposing the cell using the planes that are parallel to the interface and passing through all the cell nodes. This formula is used to bracket the interface plane constant such that the volume-matching problem is rewritten in a single prismatoid in which the same formula is used to find the final solution. Finally, the proposed method is tested against an important number of reproducible configurations and shown to be at least five times faster.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP)

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1325632

Alternate ID(s):: OSTI ID: 1359282

Report Number(s):: LA-UR-15-20420

Journal Information:: Journal of Computational Physics, Vol. 305; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 18 works

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Cited By (3)

Analytical interface reconstruction algorithms in the PLIC‐VOF method for 3D polyhedral unstructured meshes Dai, Dezhi; Tong, Albert Y. International Journal for Numerical Methods in Fluids, Vol. 91, Issue 5 https://doi.org/10.1002/fld.4750	journal	June 2019
Iterative volume-of-fluid interface positioning in general polyhedrons with Consecutive Cubic Spline interpolation Marić, Tomislav Journal of Computational Physics: X, Vol. 11 https://doi.org/10.1016/j.jcpx.2021.100093	journal	June 2021
Discontinuous Galerkin method for incompressible two-phase flows Gerstenberger, Janick Thomas; Burbulla, Samuel; Kröner, Dietmar arXiv https://doi.org/10.48550/arxiv.2003.12373	preprint	January 2020

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