Continuum Foam: A Material Point Method for Shear-Dependent Flows
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Date
2015-10-01
Authors
Yue, Yonghao
Smith, Breannan
Batty, Christopher
Zheng, Changxi
Grinspun, Eitan
Advisor
Journal Title
Journal ISSN
Volume Title
Publisher
Association for Computing Machinery
Abstract
We consider the simulation of dense foams composed of microscopic bubbles, such as shaving cream and whipped cream. We represent foam not as a collection of discrete bubbles, but instead as a continuum. We employ the material point method (MPM) to discretize a hyperelastic constitutive relation augmented with the Herschel-Bulkleymodel of non-Newtonian viscoplastic flow, which is known to closely approximate foam behavior. Since large shearing flows in foam can produce poor distributions of material points, a typical MPM implementation can produce non-physical internal holes in the continuum. To address these artifacts, we introduce a particle resampling method for MPM. In addition, we introduce an explicit tearing model to prevent regions from shearing into artificially thin, honey-like threads. We evaluate our method's efficacy by simulating a number of dense foams, and we validate our method by comparing to real-world footage of foam.
Description
© ACM, 2015. This is the author's version of the work. It is posted here by permission of ACM for your personal use. Not for redistribution. The definitive version was published in Yue, Y., Smith, B., Batty, C., Zheng, C., & Grinspun, E. (2015). Continuum Foam: A Material Point Method for Shear-Dependent Flows. Acm Transactions on Graphics, 34(5), 160. https://doi.org/10.1145/2751541
Keywords
Algorithms, Dimensions, Drainage, Fluid, Foam, In-Cell Method, Level Set Method, Material Point Method, Model, Particle Resampling, Shear Thickening, Shear Thinning, Simulation, Tearing, Viscoplasticity