A PLIC-VOF method suited for adaptive moving grids

DOI10.1016/j.jcp.2010.10.010zbMath1283.76054OpenAlexW1983984048MaRDI QIDQ617463

Jure Mencinger, Iztok Žun

Publication date: 21 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.10.010

zbMATH Keywords

moving gridvolume-of-fluidPLIC\(r\)-adaptive grid

Mathematics Subject Classification ID

Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

Unstructured un-split geometrical volume-of-fluid methods - a review ⋮ Three-dimensional cellwise conservative unsplit geometric VOF schemes ⋮ An efficient high-resolution volume-of-fluid method with low numerical diffusion on unstructured grids ⋮ A 3-D volume-of-fluid advection method based on cell-vertex velocities for unstructured meshes ⋮ A parallel volume of fluid-Lagrangian parcel tracking coupling procedure for diesel spray modelling ⋮ Deforming fluid domains within the finite element method: five mesh-based tracking methods in comparison ⋮ A computational framework for conservative, three-dimensional, unsplit, geometric transport with application to the volume-of-fluid (VOF) method ⋮ An enhanced un-split face-vertex flux-based VoF method ⋮ An efficient bilinear interface reconstruction algorithm and consistent multidimensional unsplit advection scheme for accurate capturing of highly-curved interfacial shapes on structured grids ⋮ Conservative and bounded volume-of-fluid advection on unstructured grids ⋮ VOF method in two-stage fourth order time-stepping framework ⋮ A mass and momentum conserving unsplit semi-Lagrangian framework for simulating multiphase flows ⋮ Compressive VOF method with skewness correction to capture sharp interfaces on arbitrary meshes ⋮ Cellwise conservative unsplit advection for the volume of fluid method

Uses Software

• VOFTools
• SLIC

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A surface marker algorithm coupled to an area-preserving marker redistribution method for three-dimensional interface tracking
• A volume of fluid method based on multidimensional advection and spline interface reconstruction
• Fully multidimensional flux-corrected transport algorithms for fluids
• Analytical and geometrical tools for 3D volume of fluid methods in general grids
• A general-purpose finite-volume advection scheme for continuous and discontinuous fields on unstructured grids
• Front tracking with moving-least-squares surfaces
• Conservative volume-of-fluid method for free-surface simulations on Cartesian-grids
• A geometrical predictor-corrector advection scheme and its application to the volume fraction function
• A 3D unsplit-advection volume tracking algorithm with planarity-preserving interface reconstruction
• A stable and accurate convective modelling procedure based on quadratic upstream interpolation
• Volume of fluid (VOF) method for the dynamics of free boundaries
• The ULTIMATE conservative difference scheme applied to unsteady one- dimensional advection
• Reconstructing volume tracking
• A method for capturing sharp fluid interfaces on arbitrary meshes
• A mixed markers and volume-of-fluid method for the reconstruction and advection of interfaces in two-phase and free-boundary flows.
• A quadtree adaptive method for simulating fluid flows with moving interfaces.
• A new volume of fluid advection algorithm: The Stream scheme
• A new volume-of-fluid formulation for surfactants and simulations of drop deformation under shear at a low viscosity ratio
• Review of code and solution verification procedures for computational simulation
• Numerical simulation of melting in two-dimensional cavity using adaptive grid
• Second-order accurate volume-of-fluid algorithms for tracking material interfaces
• A new interface tracking method: the polygonal area mapping method
• Grid cell volume control with an adaptive grid generator
• Simulation of sharp gas–liquid interface using VOF method and adaptive grid local refinement around the interface
• Simulation of interface and free surface flows in a viscous fluid using adapting quadtree grids
• A Newton–Krylov Solver for Remapping-Based Volume-of-Fluid Methods
• Space conservation law in finite volume calculations of fluid flow
• Interface reconstruction with least-square fit and split Eulerian-Lagrangian advection