Application of the level set method to the finite element solution of two-phase flows

DOI<645::AID-NME42>3.0.CO;2-2 10.1002/1097-0207(20010130)50:3<645::AID-NME42>3.0.CO;2-2zbMath0989.76063OpenAlexW2033897839MaRDI QIDQ2709578

M. Quecedo, Manuel Pastor

Publication date: 22 July 2002

Full work available at URL: https://doi.org/10.1002/1097-0207(20010130)50:3<645::aid-nme42>3.0.co;2-2

zbMATH Keywords

Navier-Stokes equationsstabilizationindicator functionlevel set methodcharacteristic Galerkin finite element methodtwo-phase flowslarge density ratiofractional stepinterface positionthree-node trianglespseudoconcentration functionuncompressible flowzero-level set

Mathematics Subject Classification ID

Related Items (12)

Finite element implementation of an improved conservative level set method for two-phase flow ⋮ Numerical modeling and experimental validation of free surface flow problems ⋮ A finite element level-set method for stress-based topology optimization of plate structures ⋮ Finite element modelling of free surface flows on inclined and curved beds. ⋮ The MAC method ⋮ Numerical simulation and benchmarking of drops and bubbles ⋮ A finite element-based level set method for structural optimization ⋮ A free surface updating methodology for marker function-based Eulerian free surface capturing techniques on unstructured meshes ⋮ Comparison of two mathematical models for solving the dam break problem using the FEM method ⋮ A reappraisal of Taylor-Galerkin algorithm for drying-wetting areas in shallow water computations ⋮ One-layer particle level set method ⋮ Numerical Study of a High Order 3D FEM-Level Set Approach for Immiscible Flow Simulation

Cites Work

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• A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
• Adaptive remeshing for compressible flow computations
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Flame advection and propagation algorithms
• Volume of fluid (VOF) method for the dynamics of free boundaries
• Computing interface motion in compressible gas dynamics
• A front-tracking method for viscous, incompressible multi-fluid flows
• Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains
• A level set approach for computing solutions to incompressible two-phase flow
• Comparison of some finite element methods for solving the diffusion-convection-reaction equation
• The finite element method with Lagrangian multipliers
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• Finite element analysis of density flow using the velocity correction method
• Efficient mould filling simulation in castings by an explicit finite element method
• A general algorithm for compressible and incompressible flow—Part I. the split, characteristic‐based scheme
• A general algorithm for compressible and incompressible flow—Part II. tests on the explicit form
• A split‐characteristic based finite element model for the shallow water equations

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