A computational framework tracking a moving interface in arbitrary dimension and codimension
Chohong Min, Stanley Osher · 2004
The level set method was originally introduced to track a moving interface of codimension one, and recently generalized to arbitrary codimension. The generalized level set method represents an interface as the level set of a vector valued function, and invoked two computational problems. One is to construct and visualize the level set of a vector valued function. The other is to efficiently advance the vector valued function in high dimension The purpose of this article is to introduce a unified theory and efficient numerical algorithms solving the two computational problems. The numerical methods constitutes a computational framework for tracking a moving interface in arbitrary dimension and codimension.