Analytical and geometrical tools for 3D volume of fluid methods in general grids

DOI10.1016/j.jcp.2008.03.010zbMath1142.76042OpenAlexW2083541045MaRDI QIDQ939468

Joaquín López, Juan José Hernández

Publication date: 22 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.03.010

zbMATH Keywords

volume trackinglocal volume conservation enforcementvolume truncation

Mathematics Subject Classification ID

Related Items (43)

Unstructured un-split geometrical volume-of-fluid methods - a review ⋮ Piecewise linear interface-capturing volume-of-fluid method in axisymmetric cylindrical coordinates ⋮ An improved multiscale Eulerian-Lagrangian method for simulation of atomization process ⋮ A new isosurface extraction method on arbitrary grids ⋮ Face-based volume-of-fluid interface positioning in arbitrary polyhedra ⋮ On the combined effects of surface tension force calculation and interface advection on spurious currents within volume of fluid and level set frameworks ⋮ Accurate interface normal and curvature estimates on three-dimensional unstructured non-convex polyhedral meshes ⋮ 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 3-D volume-of-fluid advection method based on cell-vertex velocities for unstructured meshes ⋮ A mass-conserving volume-of-fluid method: volume tracking and droplet surface-tension in incompressible isotropic turbulence ⋮ A volume of fluid approach for crystal growth simulation ⋮ A computational framework for conservative, three-dimensional, unsplit, geometric transport with application to the volume-of-fluid (VOF) method ⋮ An interface reconstruction method based on analytical formulae for 2D planar and axisymmetric arbitrary convex cells ⋮ An exact general remeshing scheme applied to physically conservative voxelization ⋮ A higher-order accurate VOF interface curvature computation scheme for 3D non-orthogonal structured meshes ⋮ An improved 3D MoF method based on analytical partial derivatives ⋮ A PLIC-VOF method suited for adaptive moving grids ⋮ Unnamed Item ⋮ \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 ⋮ A new volume-of-fluid method with a constructed distance function on general structured grids ⋮ A coupled eulerian interface capturing and Lagrangian particle method for multiscale simulation ⋮ An enhanced momentum conservation treatment for FDM simulation of two-phase flows with large density ratio ⋮ Iterative volume-of-fluid interface positioning in general polyhedrons with consecutive cubic spline interpolation ⋮ Compatible and energy conserving multi-material arbitrary Lagrangian Eulerian scheme for multi-group radiation hydrodynamics simulations ⋮ \texttt{gVOF}: an open-source package for unsplit geometric volume of fluid methods on arbitrary grids ⋮ A predicted-Newton's method for solving the interface positioning equation in the MoF method on general polyhedrons ⋮ An improved height function technique for computing interface curvature from volume fractions ⋮ Non-convex analytical and geometrical tools for volume truncation, initialization and conservation enforcement in VOF methods ⋮ A direct time-integral THINC scheme for sharp interfaces ⋮ A coupled volume-of-fluid and level set method based on general curvilinear grids with accurate surface tension calculation ⋮ A two-dimensional numerical study of film boiling over an elliptical cylinder in the mixed regime under aiding and orthogonal saturated liquid flow configurations ⋮ A two-grid adaptive volume of fluid approach for dendritic solidification ⋮ On reducing interface curvature computation errors in the height function technique ⋮ An iterative interface reconstruction method for PLIC in general convex grids as part of a coupled level set volume of fluid solver ⋮ Compressive VOF method with skewness correction to capture sharp interfaces on arbitrary meshes ⋮ Parallel load balancing strategy for volume-of-fluid methods on 3-D unstructured meshes ⋮ Cellwise conservative unsplit advection for the volume of fluid method ⋮ A comparative study of transient capillary rise using direct numerical simulations ⋮ VOFTools ⋮ A new efficient momentum preserving level-set/VOF method for high density and momentum ratio incompressible two-phase flows ⋮ An efficient operator-split CICSAM scheme for three-dimensional multiphase-flow problems on Cartesian grids

Uses Software

• PROST
• GTEngine

Cites Work

• Unnamed Item
• Unnamed Item
• A volume of fluid method based on multidimensional advection and spline interface reconstruction
• A 3D unsplit-advection volume tracking algorithm with planarity-preserving interface reconstruction
• Reconstructing volume tracking
• Analytical relations connecting linear interfaces and volume fractions in rectangular grids
• A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing.
• A hybrid particle level set method for improved interface capturing
• PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method.
• High-order surface tension VOF-model for 3D bubble flows with high density ratio
• Interface reconstruction with least-squares fit and split advection in three-dimensional Cartesian geometry
• An improved PLIC-VOF method for tracking thin fluid structures in incompressible two-phase flows
• Analytic relations for reconstructing piecewise linear interfaces in triangular and tetrahedral grids
• A new volume of fluid method in three dimensions-Part II: Piecewise-planar interface reconstruction with cubic-Bézier fit

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