A fourth-order accurate curvature computation in a level set framework for two-phase flows subjected to surface tension forces

DOI10.1016/j.jcp.2015.11.014zbMath1349.76053OpenAlexW2141019612MaRDI QIDQ2374965

Stéphane Glockner, Mathieu Coquerelle

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.2015.11.014

zbMATH Keywords

two-phase flowsurface tensionlevel set methodcontinuum surface forceclosest point methodspurious currentsbalanced force algorithmcurvature computation

Mathematics Subject Classification ID

Related Items (16)

Surface tension for compressible fluids in ALE framework ⋮ A generalized high-order momentum preserving (HOMP) method in the one-fluid model for incompressible two phase flows with high density ratio ⋮ Direct forcing immersed boundary methods: improvements to the ghost-cell method ⋮ Geometrical level set reinitialization using closest point method and kink detection for thin filaments, topology changes and two-phase flows ⋮ Artificial viscosity model to mitigate numerical artefacts at fluid interfaces with surface tension ⋮ Fourth- and Higher-order Interface Tracking Via Mapping and Adjusting Regular Semianalytic sets Represented by Cubic Splines ⋮ Sixth-order accurate schemes for reinitialization and extrapolation in the level set framework ⋮ A free energy-based surface tension force model for simulation of multiphase flows by level-set method ⋮ A reformulation of the conservative level set reinitialization equation for accurate and robust simulation of complex multiphase flows ⋮ A generalized coupled level set/volume-of-fluid/ghost fluid method for detailed simulation of gas-liquid flows ⋮ Height-function curvature estimation with arbitrary order on non-uniform Cartesian grids ⋮ Non-convex analytical and geometrical tools for volume truncation, initialization and conservation enforcement in VOF methods ⋮ A conservative solver for surface-tension-driven multiphase flows on collocated unstructured grids ⋮ Importance of curvature evaluation scale for predictive simulations of dynamic gas-liquid interfaces ⋮ High order anchoring and reinitialization of level set function for simulating interface motion ⋮ Moment-of-fluid analytic reconstruction on 3D rectangular hexahedrons

Uses Software

• Gerris
• MUMPS

Cites Work

• Unnamed Item
• A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
• Improvements on open and traction boundary conditions for Navier-Stokes time-splitting methods
• Discretization of Dirac delta functions in level set methods
• Level set equations on surfaces via the closest point method
• On the properties and limitations of the height function method in two-dimensional Cartesian geometry
• A mesh-decoupled height function method for computing interface curvature
• Numerical time-step restrictions as a result of capillary waves
• Motion of level sets by mean curvature. I
• An accurate adaptive solver for surface-tension-driven interfacial flows
• Reconstruction of multi-material interfaces from moment data
• Robust second-order accurate discretizations of the multi-dimensional Heaviside and Dirac delta functions
• A continuum method for modeling surface tension
• A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows
• Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
• A level set approach for computing solutions to incompressible two-phase flow
• A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows
• Volume of fluid (VOF) type advection methods in two-phase flow: a comparative study
• Numerical integration of implicit functions for the initialization of the VOF function
• Accurate representation of surface tension using the level contour reconstruction method
• A hybrid particle level set method for improved interface capturing
• Efficient implementation of weighted ENO schemes
• A coupled level set-moment of fluid method for incompressible two-phase flows
• A simple embedding method for solving partial differential equations on surfaces
• A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids
• A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework
• Efficient simulation of surface tension-dominated flows through enhanced interface geometry interrogation
• On a Family of Unsplit Advection Algorithms for Volume-of-Fluid Methods
• High order semi-Lagrangian particle methods for transport equations: numerical analysis and implementation issues
• Numerical simulation of droplets, bubbles and waves: state of the art
• Quantitative benchmark computations of two-dimensional bubble dynamics
• On surface tension modelling using the level set method
• Spurious currents in finite element based level set methods for two‐phase flow
• A LEVEL SET METHOD FOR FLUID-STRUCTURE INTERACTIONS WITH IMMERSED SURFACES
• The point-set method: Front-tracking without connectivity

This page was built for publication: A fourth-order accurate curvature computation in a level set framework for two-phase flows subjected to surface tension forces