Supplemental: A Multi-Scale Model for Simulating Liquid-Hair Interactions

© 2017 Copyright held by the owner/author(s). Publication rights licensed to Association for Computing Machinery. This is the author’s version of the work. It is posted here for your personal use. Not for redistribution. The definitive Version of Record was published in ACM Transactions on Graphics, https://doi.org/http://dx.doi.org/10.1145/3072959.3073630. Consider the mass flux passing through a point on the hair segment. For a point x the mass flux is ρAL (x )u (x )δt , and the flux passing through its neighbor coordinate x+dx is ρAL (x+dx )u (x+dx )dt . Hence we have dm = ρAL (x )u (x )dt − ρAL (x + dx )u (x + dx )dt dm dt = −ρ AL (x + dx )u (x + dx ) −AL (x )u (x ) dx dx (S6)