Motion of multiple junctions: a level set approach
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Multicomponent flow calculations by a consistent primitive algorithm
Journal of Computational Physics
A variational level set approach to multiphase motion
Journal of Computational Physics
Journal of Computational Physics
SIAM Journal on Scientific Computing
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
Journal of Computational Physics
Computations of compressible multifluids
Journal of Computational Physics
A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model
International Journal of Computer Vision
A conservative level set method for two phase flow
Journal of Computational Physics
ACM SIGGRAPH 2006 Papers
High-fidelity interface tracking in compressible flows: Unlimited anchored adaptive level set
Journal of Computational Physics
Simulation of bubbles in foam with the volume control method
ACM SIGGRAPH 2007 papers
Graphical Models
Multi-phase fluid simulations using regional level sets
ACM SIGGRAPH Asia 2010 papers
Hi-index | 31.45 |
We propose a new level set model for representing multimaterial flows in multiple space dimensions. Instead of associating a level set function with a specific fluid material, the function is associated with a pair of materials and the interface that separates them. A voting algorithm collects sign information from all level set functions and determines material designation. To represent a general M-material configuration, M(M-1)/2 level set functions need to be accounted for; problems of practical interest use far fewer functions, as not all pairs of materials share an interface, and level-set functions that coincide are grouped together. Under this model, regions of potential material ambiguity, i.e. overlaps or vacuum, are markedly reduced in size: in 2D, ambiguous regions are points, as opposed to lines in material-based level set models; in 3D, they are lines as opposed to surfaces. The model produces excellent results without the need for reinitialization, thereby avoiding additional computational costs and preventing excessive numerical diffusion.