On accuracy and efficiency of constrained reinitialization

DOI10.1002/fld.2135zbMath1195.65107OpenAlexW2151340281MaRDI QIDQ3579858

Matthias Meinke, Daniel Hartmann, Wolfgang Schröder

Publication date: 11 August 2010

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.2135

zbMATH Keywords

finite difference methodnumerical examplesdistance functionlevel setsmulti-phase flowsEikonal equationreinitializationpremixed combustion

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Combustion (80A25) Three or more component flows (76T30) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)

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A variational interface-preserving and conservative phase-field method for the surface tension effect in two-phase flows ⋮ An efficient conservative cut-cell method for rigid bodies interacting with viscous compressible flows ⋮ The constrained reinitialization equation for level set methods ⋮ Development of a high-order level set method: compact conservative level set (CCLS) ⋮ A cut-cell method for sharp moving boundaries in Cartesian grids ⋮ Level set method for computational multi-fluid dynamics: a review on developments, applications and analysis

Cites Work

• Fully multidimensional flux-corrected transport algorithms for fluids
• High-fidelity interface tracking in compressible flows: unlimited anchored adaptive level set
• Differential equation based constrained reinitialization for level set methods
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• A level set approach for computing solutions to incompressible two-phase flow
• A PDE-based fast local level set method
• Level set methods: An overview and some recent results

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