We present here a proof-of-concept of a novel, efficient method for modeling of liquid/gas interface dynamics. Our approach consists in coupling the lattice Boltzmann gas (LBG) and the level set (LS) methods. The inherent parallel character of LBG accelerated by level sets is the principal advantage of our approach over similar particle based solvers. Consequently, this property allows for effi...

Following in a vein similar to [Zhao et al., 2001], the goal of this project is to develop fast and accurate schemes to reconstruct shapes from unorganised data-sets using variational level set methods. The approach followed is based primarily on the gradient-flow scheme derived in class from variational considerations, and uses implementation details borrowed from [Zhao, 2004, Osher and Fedkiw...

In this paper we design and analyze a class of high order numerical methods to delta function integrals appearing in level set methods in two dimensional case. The methods comprise approximating the mesh cell restrictions of the delta function integral. In each mesh cell the two dimensional delta function integral can be rewritten as a one dimensional ordinary integral with the smooth integrand...

In this paper we propose a class of high order numerical methods to delta function integrals appearing in level set methods in the three dimensional case by extending the idea for designing high order methods to two dimensional delta function integrals in [X. Wen, J. Comput. Phys., 228 (2009), pp. 4273–4290]. The methods comprise approximating the mesh cell restrictions of the delta function in...