A new level-set model for the representation of non-smooth geometries

DOI10.1007/s10915-014-9842-0zbMath1307.65113OpenAlexW2061028002MaRDI QIDQ487713

David P. Starinshak, Philip L. Roe, Smadar Karni

Publication date: 23 January 2015

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://www.osti.gov/biblio/1229824

zbMATH Keywords

algorithmfinite difference methodnumerical examplesadvection equationlevel-set methodshape preservationarea conservationboundaries with singularitiesmultimaterial flow

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) First-order hyperbolic equations (35L02)

Related Items (4)

Hanging droplets from liquid interfaces ⋮ A conservative level set method for \(N\)-phase flows with a free-energy-based surface tension model ⋮ Solving Poisson-type equations with Robin boundary conditions on piecewise smooth interfaces ⋮ Semi-implicit second order schemes for numerical solution of level set advection equation on Cartesian grids

Cites Work

• A new level set model for multimaterial flows
• Fully multidimensional flux-corrected transport algorithms for fluids
• A second order accurate level set method on non-graded adaptive Cartesian grids
• Towards the ultimate conservative difference scheme. III: Upstream- centered finite-difference schemes for ideal compressible flow
• Reconstructing volume tracking
• A level set approach for computing solutions to incompressible two-phase flow
• A hybrid particle level set method for improved interface capturing
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• An Efficient, Interface-Preserving Level Set Redistancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow

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