A PSBFEM Approach for Solving Seepage Problems Based on the Pixel Quadtree Mesh
This paper presents a PSBFEM approach that integrates the quadtree mesh generation technique based on digital images for solving seepage problems. The quantitative representation of the distribution of geometrical information and material parameters is achieved by utilizing the color intensity of ea...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi-Wiley
2023-01-01
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| Series: | Geofluids |
| Online Access: | http://dx.doi.org/10.1155/2023/9092488 |
| _version_ | 1797682893600849920 |
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| author | Mingjiao Yan Yang Yang Zongliang Zhang Chao Su Tianfu Luo |
| author_facet | Mingjiao Yan Yang Yang Zongliang Zhang Chao Su Tianfu Luo |
| author_sort | Mingjiao Yan |
| collection | DOAJ |
| description | This paper presents a PSBFEM approach that integrates the quadtree mesh generation technique based on digital images for solving seepage problems. The quantitative representation of the distribution of geometrical information and material parameters is achieved by utilizing the color intensity of each pixel, which can then be applied to seepage analysis. The presented method addresses the issue of hanging nodes by treating them as nodes of a polygonal element. We validate the proposed technique by solving three benchmark seepage problems. Results show that the image-based domain can be automatically discretized using a quadtree decomposition of the images. Furthermore, the computational efficiency and precision of the PSBFEM surpass that of the standard FEM. Therefore, the proposed technique allows for the convenient automatic discretization of the domain using pixel meshes to solve seepage problems in engineering applications. |
| first_indexed | 2024-03-12T00:06:30Z |
| format | Article |
| id | doaj.art-c942453c83b7430aa43dee4df6de3c72 |
| institution | Directory Open Access Journal |
| issn | 1468-8123 |
| language | English |
| last_indexed | 2024-03-12T00:06:30Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi-Wiley |
| record_format | Article |
| series | Geofluids |
| spelling | doaj.art-c942453c83b7430aa43dee4df6de3c722023-09-17T00:00:01ZengHindawi-WileyGeofluids1468-81232023-01-01202310.1155/2023/9092488A PSBFEM Approach for Solving Seepage Problems Based on the Pixel Quadtree MeshMingjiao Yan0Yang Yang1Zongliang Zhang2Chao Su3Tianfu Luo4College of Water Conservancy and Hydropower EngineeringPowerChina Kunming Engineering Corporation LimitedPowerChina Kunming Engineering Corporation LimitedCollege of Water Conservancy and Hydropower EngineeringCollege of Water Conservancy and Hydropower EngineeringThis paper presents a PSBFEM approach that integrates the quadtree mesh generation technique based on digital images for solving seepage problems. The quantitative representation of the distribution of geometrical information and material parameters is achieved by utilizing the color intensity of each pixel, which can then be applied to seepage analysis. The presented method addresses the issue of hanging nodes by treating them as nodes of a polygonal element. We validate the proposed technique by solving three benchmark seepage problems. Results show that the image-based domain can be automatically discretized using a quadtree decomposition of the images. Furthermore, the computational efficiency and precision of the PSBFEM surpass that of the standard FEM. Therefore, the proposed technique allows for the convenient automatic discretization of the domain using pixel meshes to solve seepage problems in engineering applications.http://dx.doi.org/10.1155/2023/9092488 |
| spellingShingle | Mingjiao Yan Yang Yang Zongliang Zhang Chao Su Tianfu Luo A PSBFEM Approach for Solving Seepage Problems Based on the Pixel Quadtree Mesh Geofluids |
| title | A PSBFEM Approach for Solving Seepage Problems Based on the Pixel Quadtree Mesh |
| title_full | A PSBFEM Approach for Solving Seepage Problems Based on the Pixel Quadtree Mesh |
| title_fullStr | A PSBFEM Approach for Solving Seepage Problems Based on the Pixel Quadtree Mesh |
| title_full_unstemmed | A PSBFEM Approach for Solving Seepage Problems Based on the Pixel Quadtree Mesh |
| title_short | A PSBFEM Approach for Solving Seepage Problems Based on the Pixel Quadtree Mesh |
| title_sort | psbfem approach for solving seepage problems based on the pixel quadtree mesh |
| url | http://dx.doi.org/10.1155/2023/9092488 |
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