A Novel Mesh Quality Improvement Method for Boundary Elements
In order to improve the boundary mesh quality while maintaining the essential characteristics of discrete surfaces, a new approach combining optimization-based smoothing and topology optimization is developed. The smoothing objective function is modified, in which two functions denoting boundary and...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/109542 |
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| _version_ | 1832567644489777152 |
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| author | Hou-lin Liu Cui Dai Liang Dong Ming-gao Tan |
| author_facet | Hou-lin Liu Cui Dai Liang Dong Ming-gao Tan |
| author_sort | Hou-lin Liu |
| collection | DOAJ |
| description | In order to improve the boundary mesh quality while maintaining the essential characteristics of discrete surfaces, a new approach combining optimization-based smoothing and topology optimization is developed. The smoothing objective function is modified, in which two functions denoting boundary and interior quality, respectively, and a weight coefficient controlling boundary quality are taken into account. In addition, the existing smoothing algorithm can improve the mesh quality only by repositioning vertices of the interior mesh. Without destroying boundary conformity, bad elements with all their vertices on the boundary cannot be eliminated. Then, topology optimization is employed, and those elements are converted into other types of elements whose quality can be improved by smoothing. The practical application shows that the worst elements can be eliminated and, with the increase of weight coefficient, the average quality of boundary mesh can also be improved. Results obtained with the combined approach are compared with some common approach. It is clearly shown that it performs better than the existing approach. |
| format | Article |
| id | doaj-art-430b3b4fad584a6abce66a52885dc510 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-430b3b4fad584a6abce66a52885dc5102025-02-03T01:00:56ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/109542109542A Novel Mesh Quality Improvement Method for Boundary ElementsHou-lin Liu0Cui Dai1Liang Dong2Ming-gao Tan3Research Center of Fluid Machinery Engineering and Technology, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaResearch Center of Fluid Machinery Engineering and Technology, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaResearch Center of Fluid Machinery Engineering and Technology, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaResearch Center of Fluid Machinery Engineering and Technology, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaIn order to improve the boundary mesh quality while maintaining the essential characteristics of discrete surfaces, a new approach combining optimization-based smoothing and topology optimization is developed. The smoothing objective function is modified, in which two functions denoting boundary and interior quality, respectively, and a weight coefficient controlling boundary quality are taken into account. In addition, the existing smoothing algorithm can improve the mesh quality only by repositioning vertices of the interior mesh. Without destroying boundary conformity, bad elements with all their vertices on the boundary cannot be eliminated. Then, topology optimization is employed, and those elements are converted into other types of elements whose quality can be improved by smoothing. The practical application shows that the worst elements can be eliminated and, with the increase of weight coefficient, the average quality of boundary mesh can also be improved. Results obtained with the combined approach are compared with some common approach. It is clearly shown that it performs better than the existing approach.http://dx.doi.org/10.1155/2012/109542 |
| spellingShingle | Hou-lin Liu Cui Dai Liang Dong Ming-gao Tan A Novel Mesh Quality Improvement Method for Boundary Elements Journal of Applied Mathematics |
| title | A Novel Mesh Quality Improvement Method for Boundary Elements |
| title_full | A Novel Mesh Quality Improvement Method for Boundary Elements |
| title_fullStr | A Novel Mesh Quality Improvement Method for Boundary Elements |
| title_full_unstemmed | A Novel Mesh Quality Improvement Method for Boundary Elements |
| title_short | A Novel Mesh Quality Improvement Method for Boundary Elements |
| title_sort | novel mesh quality improvement method for boundary elements |
| url | http://dx.doi.org/10.1155/2012/109542 |
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