Applications of flux-based level set method for some advection equations
by
Peter Frolkovic
University of Heidelberg, Germany

Flux-based level set method is a finite volume method [1] for numerical solution of level set equation. High-resolution version of this method was developed in [2] for problems where the level lines are transported by an external velocity field and by a speed in normal direction. The method exhibits second order accuracy on unstructured locally adapted grids for smooth solutions and using limiter techniques it is robust for more general cases. Several examples will be presented in the lecture that document superior quality of the method for standard benchmarks and for some applications like two-phase flow models or computations of first arrival time functions for a boat in flow or a fire in wood [3].

References

[]

. Frolkovic and K. Mikula. Flux-based level set method: A finite volume method for evolving interfaces. Applied Numerical Mathematics, 57(4):436-454, 2007.

[]

. Frolkovic and K. Mikula. High-resolution flux-based level set method. SIAM J. Sci. Comp., 29 (2), p. 579-597, 2007.

[]

. Frolkovic and C. Wehner. Flux-based level set method on rectangular grids and computation of first arrival time functions. Comput. Vis. Sci., submitted, http://sit.iwr.uni-heidelberg.de/ ~ frolko.

Date received: June 26, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavg-81.