Moving mesh simulations of pitting corrosion
Damages due to pitting corrosion of metals cost industry billions of dollars per year and can put human lives at risk. The design and implementation of an adaptive moving mesh method is provided for a moving boundary problem related to pitting corrosion. The adaptive mesh is generated automatically...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2024-12-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241682 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590756960796672 |
|---|---|
| author | Abu Naser Sarker Ronald D. Haynes Michael D. Robertson |
| author_facet | Abu Naser Sarker Ronald D. Haynes Michael D. Robertson |
| author_sort | Abu Naser Sarker |
| collection | DOAJ |
| description | Damages due to pitting corrosion of metals cost industry billions of dollars per year and can put human lives at risk. The design and implementation of an adaptive moving mesh method is provided for a moving boundary problem related to pitting corrosion. The adaptive mesh is generated automatically by solving a mesh PDE coupled to the nonlinear potential problem. The moving mesh approach is shown to enable initial mesh generation, provide automatic mesh adjustment (or recovery) and is able to smoothly tackle changing pit geometry. Materials with varying crystallography are considered. Changing mesh topology due to the merging of pits is also handled. The evolution of the pit shape, the pit depth, and the pit width are computed and compared to existing results in the literature. Mesh quality results are also included. |
| format | Article |
| id | doaj-art-8cdd28726d674fc9bb68585ef7984d49 |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-8cdd28726d674fc9bb68585ef7984d492025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912354013543110.3934/math.20241682Moving mesh simulations of pitting corrosionAbu Naser Sarker0Ronald D. Haynes1Michael D. Robertson2Scientific Computing Program, Memorial University, St. John's, NL, A1C 5S7, CanadaDepartment of Mathematics and Statistics, Memorial University, St. John's, NL, A1C 5S7, CanadaDepartment of Physics, Acadia University, Wolfville, NS, B4P 2R6, CanadaDamages due to pitting corrosion of metals cost industry billions of dollars per year and can put human lives at risk. The design and implementation of an adaptive moving mesh method is provided for a moving boundary problem related to pitting corrosion. The adaptive mesh is generated automatically by solving a mesh PDE coupled to the nonlinear potential problem. The moving mesh approach is shown to enable initial mesh generation, provide automatic mesh adjustment (or recovery) and is able to smoothly tackle changing pit geometry. Materials with varying crystallography are considered. Changing mesh topology due to the merging of pits is also handled. The evolution of the pit shape, the pit depth, and the pit width are computed and compared to existing results in the literature. Mesh quality results are also included.https://www.aimspress.com/article/doi/10.3934/math.20241682pitting corrosionadaptive moving meshmmpdefemcrystallography |
| spellingShingle | Abu Naser Sarker Ronald D. Haynes Michael D. Robertson Moving mesh simulations of pitting corrosion AIMS Mathematics pitting corrosion adaptive moving mesh mmpde fem crystallography |
| title | Moving mesh simulations of pitting corrosion |
| title_full | Moving mesh simulations of pitting corrosion |
| title_fullStr | Moving mesh simulations of pitting corrosion |
| title_full_unstemmed | Moving mesh simulations of pitting corrosion |
| title_short | Moving mesh simulations of pitting corrosion |
| title_sort | moving mesh simulations of pitting corrosion |
| topic | pitting corrosion adaptive moving mesh mmpde fem crystallography |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241682 |
| work_keys_str_mv | AT abunasersarker movingmeshsimulationsofpittingcorrosion AT ronalddhaynes movingmeshsimulationsofpittingcorrosion AT michaeldrobertson movingmeshsimulationsofpittingcorrosion |