Iterative inflow-implicit outflow-explicit finite volume scheme for level-set equations on polyhedron meshes

DOI10.1016/j.camwa.2018.06.033zbMath1442.65196OpenAlexW2820236418MaRDI QIDQ2203873

Branislav Basara, Karol Mikula, Matej Medl'a, Jooyoung Hahn, Peter Frolkovič

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.06.033

zbMATH Keywords

finite volume methodlevel set methodpolyhedron cell

Mathematics Subject Classification ID

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

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Cites Work

• A second order accurate level set method on non-graded adaptive Cartesian grids
• 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
• Inflow-based gradient finite volume method for a propagation in a normal direction in a polyhedron mesh
• Inflow-implicit/outflow-explicit finite volume methods for solving advection equations
• Upscaling of Nonisothermal Reactive Porous Media Flow under Dominant Péclet Number: The Effect of Changing Porosity
• Inflow-Implicit/Outflow-Explicit Scheme for Solving Advection Equations
• Discretization of Mixed Formulations of Elliptic Problems on Polyhedral Meshes
• The Discrete Duality Finite Volume Method for Convection-diffusion Problems
• A New Level Set Method for Motion in Normal Direction Based on a Semi-Implicit Forward-Backward Diffusion Approach
• Discrete duality finite volume schemes for Leray−Lions−type elliptic problems on general 2D meshes
• The turbulent burning velocity for large-scale and small-scale turbulence
• Turbulent Combustion
• A fast marching level set method for monotonically advancing fronts.
• Semi-implicit Level Set Method with Inflow-Based Gradient in a Polyhedron Mesh
• Derivation and analysis of an effective model for biofilm growth in evolving porous media
• Drug release from collagen matrices including an evolving microstructure
• Exact integration formulas for the finite volume element method on simplicial meshes
• High‐Resolution Flux‐Based Level Set Method