On a Family of Unsplit Advection Algorithms for Volume-of-Fluid Methods
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Publication:2870629
DOI10.1137/120897882zbMath1282.65113OpenAlexW1996285926MaRDI QIDQ2870629
Publication date: 21 January 2014
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/120897882
interface trackingdonating regionthe polygonal area mapping methodvolume-of-fluid methodsDRACSthe advection equation
Multiphase and multicomponent flows (76T99) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)
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Unstructured un-split geometrical volume-of-fluid methods - a review ⋮ Three-dimensional cellwise conservative unsplit geometric VOF schemes ⋮ A fourth-order accurate curvature computation in a level set framework for two-phase flows subjected to surface tension forces ⋮ Breakup of drops in simple shear flows with high-confinement geometry ⋮ A three-dimensional cell-based volume-of-fluid method for conservative simulations of primary atomization ⋮ Fourth- and Higher-order Interface Tracking Via Mapping and Adjusting Regular Semianalytic sets Represented by Cubic Splines ⋮ Parabolic interface reconstruction for 2D volume of fluid methods ⋮ Boolean algebra of two-dimensional continua with arbitrarily complex topology ⋮ Lagrangian Transport through Surfaces in Compressible Flows ⋮ Highly accurate Lagrangian flux calculation via algebraic quadratures on spline-approximated donating regions ⋮ On generalized donating regions: classifying Lagrangian fluxing particles through a fixed curve in the plane ⋮ A mass and momentum conserving unsplit semi-Lagrangian framework for simulating multiphase flows ⋮ Lagrangian Transport Through Surfaces in Volume-Preserving Flows ⋮ MARS: An Analytic Framework of Interface Tracking via Mapping and Adjusting Regular Semialgebraic Sets ⋮ Cellwise conservative unsplit advection for the volume of fluid method ⋮ Lagrangian Flux Calculation Through a Fixed Planar Curve for Scalar Conservation Laws
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