Strain-based diffusion solver for realistic representation of diffusion front in physical reactions.
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 interfac...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2017-01-01
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| Series: | PLoS ONE |
| Online Access: | http://europepmc.org/articles/PMC5407753?pdf=render |
| _version_ | 1828401424294215680 |
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| author | Jong-Hyun Kim Jung Lee |
| author_facet | Jong-Hyun Kim Jung Lee |
| author_sort | Jong-Hyun Kim |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-10T09:46:57Z |
| format | Article |
| id | doaj.art-cebf2ad6665248fbaf812a209e53fcd9 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-12-10T09:46:57Z |
| publishDate | 2017-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-cebf2ad6665248fbaf812a209e53fcd92022-12-22T01:53:47ZengPublic Library of Science (PLoS)PLoS ONE1932-62032017-01-01124e017569510.1371/journal.pone.0175695Strain-based diffusion solver for realistic representation of diffusion front in physical reactions.Jong-Hyun KimJung LeeWhen 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.http://europepmc.org/articles/PMC5407753?pdf=render |
| spellingShingle | Jong-Hyun Kim Jung Lee Strain-based diffusion solver for realistic representation of diffusion front in physical reactions. PLoS ONE |
| title | Strain-based diffusion solver for realistic representation of diffusion front in physical reactions. |
| title_full | Strain-based diffusion solver for realistic representation of diffusion front in physical reactions. |
| title_fullStr | Strain-based diffusion solver for realistic representation of diffusion front in physical reactions. |
| title_full_unstemmed | Strain-based diffusion solver for realistic representation of diffusion front in physical reactions. |
| title_short | Strain-based diffusion solver for realistic representation of diffusion front in physical reactions. |
| title_sort | strain based diffusion solver for realistic representation of diffusion front in physical reactions |
| url | http://europepmc.org/articles/PMC5407753?pdf=render |
| work_keys_str_mv | AT jonghyunkim strainbaseddiffusionsolverforrealisticrepresentationofdiffusionfrontinphysicalreactions AT junglee strainbaseddiffusionsolverforrealisticrepresentationofdiffusionfrontinphysicalreactions |