A New Level Set Method for Motion in Normal Direction Based on a Semi-Implicit Forward-Backward Diffusion Approach

DOI10.1137/09075946XzbMath1223.65072OpenAlexW2088179604MaRDI QIDQ3168804

Karol Mikula, Mario Ohlberger

Publication date: 19 April 2011

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/09075946x

zbMATH Keywords

convergencefinite volume methodnumerical experimentslevel set methodCartesian meshesforward-backward diffusion equation

Mathematics Subject Classification ID

Diffusion (76R50) Initial-boundary value problems for second-order parabolic equations (35K20) Finite volume methods applied to problems in fluid mechanics (76M12) Theoretical approximation in context of PDEs (35A35) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (11)

Inflow-based gradient finite volume method for a propagation in a normal direction in a polyhedron mesh ⋮ Finite volume method with the Soner boundary condition for computing the signed distance function on polyhedral meshes ⋮ Second-order accurate finite volume method for \(G\)-equation on polyhedral meshes ⋮ Adjoint-based optimization of two-dimensional Stefan problems ⋮ Iterative inflow-implicit outflow-explicit finite volume scheme for level-set equations on polyhedron meshes ⋮ Numerical modeling of wildland surface fire propagation by evolving surface curves ⋮ Inflow-implicit/outflow-explicit finite volume methods for solving advection equations ⋮ 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 finite volume level set method for advective motion of interfaces in normal direction ⋮ Semi-implicit Level Set Method with Inflow-Based Gradient in a Polyhedron Mesh

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