Numerical integration of implicit functions for the initialization of the VOF function

DOI10.1016/j.compfluid.2014.04.010zbMath1390.76854OpenAlexW2049644439MaRDI QIDQ1645661

Sandro Manservisi, Philip Yecko, Stéphane Zaleski, Simone Bnà, Ruben Scardovelli

Publication date: 22 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2014.04.010

zbMATH Keywords

numerical integrationimplicit functionsVOF function

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76Txx)

Related Items (15)

A fourth-order accurate curvature computation in a level set framework for two-phase flows subjected to surface tension forces ⋮ Exact calculation of the overlap volume of spheres and mesh elements ⋮ A three-dimensional cell-based volume-of-fluid method for conservative simulations of primary atomization ⋮ First Moments of a Polyhedron Clipped by a Paraboloid ⋮ PArallel, Robust, Interface Simulator (PARIS) ⋮ Third-order accurate initialization of volume fractions on unstructured meshes with arbitrary polyhedral cells ⋮ Curvature computation in volume-of-fluid method based on point-cloud sampling ⋮ triSurfaceImmersion: computing volume fractions and signed distances from triangulated surfaces immersed in unstructured meshes ⋮ An optimized \textsc{Vofi} library to initialize the volume fraction field ⋮ Non-convex analytical and geometrical tools for volume truncation, initialization and conservation enforcement in VOF methods ⋮ Highly accurate computation of volume fractions using differential geometry ⋮ The initialisation of volume fractions for unstructured grids using implicit surface definitions. ⋮ Detailed numerical simulations of pore competition in idealized micro-spall using the VOF method ⋮ A mass-momentum consistent, volume-of-fluid method for incompressible flow on staggered grids ⋮ A penalization method for the simulation of bubbly flows

Uses Software

• Cuba
• Gerris
• BRENT

Cites Work

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• On the properties and limitations of the height function method in two-dimensional Cartesian geometry
• Cuba -- a library for multidimensional numerical integration
• Fully multidimensional flux-corrected transport algorithms for fluids
• An accurate adaptive solver for surface-tension-driven interfacial flows
• Analytical relations connecting linear interfaces and volume fractions in rectangular grids

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