An interface reconstruction method based on analytical formulae for 2D planar and axisymmetric arbitrary convex cells

DOI10.1016/j.jcp.2014.06.060zbMath1349.76600OpenAlexW1974885160MaRDI QIDQ349417

E. D. Dendy, Marianne M. Francois, Steven Diot

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.06.060

zbMATH Keywords

interface reconstructionnon-iterativepolygonal cellsvolume-of-fluid (VOF)

Mathematics Subject Classification ID

Related Items (18)

Unstructured un-split geometrical volume-of-fluid methods - a review ⋮ A higher-order accurate surface tension modelling volume-of-fluid scheme for 2D curvilinear meshes ⋮ Piecewise linear interface-capturing volume-of-fluid method in axisymmetric cylindrical coordinates ⋮ Interface reconstruction and advection schemes for volume of fluid method in axisymmetric coordinates ⋮ Face-based volume-of-fluid interface positioning in arbitrary polyhedra ⋮ An interface reconstruction method based on an analytical formula for 3D arbitrary convex cells ⋮ A new volume conservation enforcement method for PLIC reconstruction in general convex grids ⋮ A higher-order accurate VOF interface curvature computation scheme for 3D non-orthogonal structured meshes ⋮ \texttt{VOFTools} -- a software package of calculation tools for volume of fluid methods using general convex grids ⋮ A comparative study of split advection algorithms on the moment-of-fluid (MOF) method for incompressible flow ⋮ An improved 2D MoF method by using high order derivatives ⋮ Iterative volume-of-fluid interface positioning in general polyhedrons with consecutive cubic spline interpolation ⋮ Conservative and entropy controlled remap for multi-material ALE simulations with space-staggered schemes ⋮ Non-convex analytical and geometrical tools for volume truncation, initialization and conservation enforcement in VOF methods ⋮ A Consistent Analytical Formulation for Volume Estimation of Geometries Enclosed by Implicitly Defined Surfaces ⋮ An iterative interface reconstruction method for PLIC in general convex grids as part of a coupled level set volume of fluid solver ⋮ Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows ⋮ Extension of generic two-component VOF interface advection schemes to an arbitrary number of components

Uses Software

• KRAKEN
• BRENT
• VOFTools
• SLIC

Cites Work

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• Reconstruction of multi-material interfaces from moment data
• Analytical and geometrical tools for 3D volume of fluid methods in general grids
• Reconstructing volume tracking
• Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
• Second-order accurate volume-of-fluid algorithms for tracking material interfaces
• Analytic relations for reconstructing piecewise linear interfaces in triangular and tetrahedral grids
• Interface curvature via volume fractions, heights, and mean values on nonuniform rectangular grids
• ‘Moment of fluid’ interface reconstruction method in axisymmetric coordinates
• Interface reconstruction with least-square fit and split Eulerian-Lagrangian advection
• Noniterative interface reconstruction algorithms for volume of fluid method

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