Open AccessStrain-based diffusion solver for realistic representation of diffusion front in physical reactions
Author(s) -
JongHyun Kim,
Jung Lee
Publication year - 2017
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0175695
Subject(s) - isotropy , solver , diffusion , diffusion process , mechanics , anisotropic diffusion , anisotropy , front (military) , representation (politics) , divergence (linguistics) , reaction–diffusion system , statistical physics , physics , computer science , materials science , classical mechanics , thermodynamics , mathematics , mathematical optimization , optics , knowledge management , linguistics , philosophy , innovation diffusion , politics , meteorology , law , political science
When simulating fluids, such as water or fire, interacting with solids, it is a challenging problem to represent details of diffusion front in physical reaction. Previous approaches commonly use isotropic or anisotropic diffusion to model the transport of a quantity through a medium or long interface. We have identified unrealistic monotonous patterns with previous approaches and therefore, propose to extend these approaches by integrating the deformation of the material with the diffusion process. Specifically, stretching deformation represented by strain is incorporated in a divergence-constrained diffusion model. A novel diffusion model is introduced to increase the global rate at which the solid acquires relevant quantities, such as heat or saturation. This ensures that the equations describing fluid flow are linked to the change of solid geometry, and also satisfy the divergence-free condition. Experiments show that our method produces convincing results.