Semi-implicit finite volume level set method for advective motion of interfaces in normal direction

DOI10.1016/j.apnum.2014.05.011zbMath1320.65124OpenAlexW2152093955MaRDI QIDQ2349315

Karol Mikula, Jozef Urbán, Peter Frolkovič

Publication date: 22 June 2015

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2014.05.011

zbMATH Keywords

finite volume methodlevel set methodadvection equationsemi-implicit scheme

Mathematics Subject Classification ID

Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (8)

Inflow-based gradient finite volume method for a propagation in a normal direction in a polyhedron mesh ⋮ Second-order accurate finite volume method for \(G\)-equation on polyhedral meshes ⋮ Efficient numerical methods for models of evolving interfaces enhanced with a small curvature term ⋮ Iterative inflow-implicit outflow-explicit finite volume scheme for level-set equations on polyhedron meshes ⋮ High resolution compact implicit numerical scheme for conservation laws ⋮ Finite element method for two-dimensional linear advection equations based on spline method ⋮ Semi-implicit second order schemes for numerical solution of level set advection equation on Cartesian grids ⋮ Semi-implicit Level Set Method with Inflow-Based Gradient in a Polyhedron Mesh

Uses Software

• IIMPACK

Cites Work

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• A fast sweeping method for Eikonal equations
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• The Immersed Interface Method

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