Dynamics and stationary configurations of heterogeneous foams

• Published in: PloS one Vol. 14; no. 4; p. e0215836
• Main Authors: Wang, Dong, Cherkaev, Andrej, Osting, Braxton
• Format: Journal Article
• Language: English
• Published: United States Public Library of Science 29.04.2019; Public Library of Science (PLoS)
• Subjects: Algorithms; Applied mathematics; Bubbles; Computational physics; Computer applications; Computer simulation; Configurations; Control theory; Euclidean space; Fluid dynamics; Foams; Foams (Chemistry); Mathematical models; Mechanical properties; Methods; Models, Theoretical; Numerical Analysis, Computer-Assisted; Numerical experiments; Phase transitions; Steady flow; Structure; Thermodynamics; United States > US

We consider the variational foam model, where the goal is to minimize the total surface area of a collection of bubbles subject to the constraint that the volume of each bubble is prescribed. We apply sharp interface methods to develop an efficient computational method for this problem. In addition...