Flux-based level set method: A finite volume method for evolving interfaces
DOI10.1016/j.apnum.2006.06.002zbMath1120.65093OpenAlexW1979810525MaRDI QIDQ875528
Publication date: 13 April 2007
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2006.06.002
finite volume methodnumerical experimentslevel set methodCFL conditionevolving surfacesnonlinear degenerate advection-diffusion level set equation
Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Liquid-gas two-phase flows, bubbly flows (76T10)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A convergent monotone difference scheme for motion of level sets by mean curvature
- Motion of level sets by mean curvature. I
- On the finite volume element method
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Semi-Lagrangian methods for level set equations
- Geodesic active contours
- Finite volume schemes for Hamilton-Jacobi equations
- A PDE-based fast local level set method
- Level set methods and dynamic implicit surfaces
- Flux-based method of characteristics for contaminant transport in flowing groundwater
- Semi-implicit complementary volume scheme for solving level set like equations in image processing and curve evolution
- Computation of three dimensional dendrites with finite elements
- Mass preserving finite element implementations of the level set method
- A conservative level set method for two phase flow
- Evolution of Plane Curves Driven by a Nonlinear Function of Curvature and Anisotropy
- A Viscosity Solutions Approach to Shape-From-Shading
- Level Sets of Viscosity Solutions: some Applications to Fronts and Rendez-vous Problems
- Subjective surfaces: A method for completing missing boundaries
- Weighted ENO Schemes for Hamilton--Jacobi Equations
- Finite Volume Methods for Hyperbolic Problems
- Evolution of Convex Plane Curves Describing Anisotropic Motions of Phase Interfaces
- Algorithms for Computing Motion by Mean Curvature
- Two-phase flows on interface refined grids modeled with VOF, staggered finite volumes, and spline interpolants
- A finite element based level-set method for multiphase flow applications
- Semi-implicit finite volume scheme for solving nonlinear diffusion equations in image processing
- Computational and qualitative aspects of evolution of curves driven by curvature and external force