Improving the mass conservation of the level set method in a finite element context

DOI10.1016/j.crma.2010.03.011zbMath1193.65172OpenAlexW1989103689MaRDI QIDQ974020

Pierre Saramito, Chaouqi Misbah, Aymen Laadhari

Publication date: 26 May 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.03.011

zbMATH Keywords

algorithmLagrange multipliersconvergencemass conservationfinite elementlevel set method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) First-order hyperbolic systems (35L40)

Related Items (9)

Stabilised finite-element methods for solving the level set equation with mass conservation ⋮ Computing the dynamics of biomembranes by combining conservative level set and adaptive finite element methods ⋮ Fully Eulerian finite element approximation of a fluid-structure interaction problem in cardiac cells ⋮ Fully implicit methodology for the dynamics of biomembranes and capillary interfaces by combining the level set and Newton methods ⋮ Upwind Schemes for Scalar Advection-Dominated Problems in the Discrete Exterior Calculus ⋮ A mixed interface-capturing/interface-tracking formulation for thermal multi-phase flows with emphasis on metal additive manufacturing processes ⋮ A geometrically accurate low-diffusive conservative interface capturing method suitable for multimaterial flows ⋮ Stabilized finite element methods for solving the level set equation without reinitialization ⋮ Implicit finite element methodology for the numerical modeling of incompressible two-fluid flows with moving hyperelastic interface

Cites Work

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• Fully multidimensional flux-corrected transport algorithms for fluids
• On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
• Level set methods and dynamic implicit surfaces
• A hybrid particle level set method for improved interface capturing
• An Efficient, Interface-Preserving Level Set Redistancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow
• Weighted ENO Schemes for Hamilton--Jacobi Equations

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