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A Variational Level Set Approach to Multiphase Motion

โœ Scribed by Hong-Kai Zhao; T. Chan; B. Merriman; S. Osher

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
433 KB
Volume
127
Category
Article
ISSN
0021-9991

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โœฆ Synopsis

The point at which they meet (the triple junction) has prescribed angles which can be shown [12] to be defined by A coupled level set method for the motion of multiple junctions (of, e.g., solid, liquid, and grain boundaries), which follows the gradient flow for an energy functional consisting of surface tension (proportional to length) and bulk energies (proportional to area), is

Our objective here is to develop and implement numerithe theory as given in [12]. Other applications of this methocal algorithms which ''capture'' rather than ''track'' the dology, including the decomposition of a domain into subregions interfaces, based on the level set method of Osher and with minimal interface length, are discussed. Finally, some new Sethian [9]. The usual advantages of the level set method techniques and results in level set methodology are presented.

๐Ÿ“œ SIMILAR VOLUMES

Motion of Multiple Junctions: A Level Se
Motion of Multiple Junctions: A Level Set Approach
โœ Barry Merriman; James K. Bence; Stanley J. Osher ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 783 KB

A coupled level set method for the motion of multiple junctions is proposed. The new method extends the "Hamilton-Jacobi" level set formulation of Osher and Sethian. It retains the feature of tracking fronts by following level sets and allows the specification of arbitrary velocities on each front.

Motion of Curves Constrained on Surfaces
Motion of Curves Constrained on Surfaces Using a Level-Set Approach
โœ Li-Tien Cheng; Paul Burchard; Barry Merriman; Stanley Osher ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 920 KB

The level-set method has been successfully applied to a variety of problems that deal with curves in R 2 or surfaces in R 3 . We present here a combination of these two cases, creating a level-set representation for curves constrained to lie on surfaces. We study primarily geometrically based motion

Motion of Curves in Three Spatial Dimens
Motion of Curves in Three Spatial Dimensions Using a Level Set Approach
โœ Paul Burchard; Li-Tien Cheng; Barry Merriman; Stanley Osher ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 149 KB

The level set method was originally designed for problems dealing with codimension one objects, where it has been extremely succesful, especially when topological changes in the interface, i.e., merging and breaking, occur. Attempts have been made to modify it to handle objects of higher codimension

An Eulerian Approach for Vortex Motion U
An Eulerian Approach for Vortex Motion Using a Level Set Regularization Procedure
โœ Eduard Harabetian; Stanley Osher; Chi-Wang Shu ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 422 KB

where (x, y, z, t) is the vorticity vector and v(x, y, z, t) is the velocity vector. We present an Eulerian, fixed grid, approach to solve the motion of an incompressible fluid, in two and three dimensions, in which In a vortex sheet, is a singular measure concentrated the vorticity is concentrate