Mapping Based Quality Metrics for Mesh Deformation Algorithms Using Radial Basis Functions
The mesh deformation method based on radial basis functions is widely used in computational fluid dynamics (CFD) simulation with a moving boundary. The traditional method for generating CFD mesh quality metrics called mesh-based metrics use the information of deformed mesh with specific element node...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-12-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/1/59 |
| _version_ | 1827699395781459968 |
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| author | Changchuan Xie Sijia Jia Yingjie Li Chao An Chao Yang |
| author_facet | Changchuan Xie Sijia Jia Yingjie Li Chao An Chao Yang |
| author_sort | Changchuan Xie |
| collection | DOAJ |
| description | The mesh deformation method based on radial basis functions is widely used in computational fluid dynamics (CFD) simulation with a moving boundary. The traditional method for generating CFD mesh quality metrics called mesh-based metrics use the information of deformed mesh with specific element node coordinates and a connectivity relationship. This paper develops a new mesh quality, metric evaluating method based on the mapping process between the initial and deformed mesh, which is named mapping-based metrics. Mapping-based metrics are evaluated based on the conception of the deformation principle in continuum mechanics. This method provides a new point for mesh quality evaluation without requirements of deformed mesh coordinates and element connectivity information. Three test cases show that, comparing with indirectly solving by a geometrical method, mapping-based metrics accurately reveal the changes of the angle and area over the whole deformed domain. Additionally, the mapping-based metrics give high applicability to the quality of deformed mesh compared to mesh-based metrics. The quality evaluation method for CFD mesh proposed in this paper is effective. |
| first_indexed | 2024-03-10T13:49:13Z |
| format | Article |
| id | doaj.art-3b9a826e5dd345b18cfb8ccca03cbc0b |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T13:49:13Z |
| publishDate | 2020-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-3b9a826e5dd345b18cfb8ccca03cbc0b2023-11-21T02:18:07ZengMDPI AGApplied Sciences2076-34172020-12-011115910.3390/app11010059Mapping Based Quality Metrics for Mesh Deformation Algorithms Using Radial Basis FunctionsChangchuan Xie0Sijia Jia1Yingjie Li2Chao An3Chao Yang4School of Aeronautics Science and Engineering, Beihang University, Beijing 100191, ChinaSchool of Aeronautics Science and Engineering, Beihang University, Beijing 100191, ChinaSouthwest China Research Institute of Electronic Equipment, Chengdu 610036, ChinaSchool of Aeronautics Science and Engineering, Beihang University, Beijing 100191, ChinaSchool of Aeronautics Science and Engineering, Beihang University, Beijing 100191, ChinaThe mesh deformation method based on radial basis functions is widely used in computational fluid dynamics (CFD) simulation with a moving boundary. The traditional method for generating CFD mesh quality metrics called mesh-based metrics use the information of deformed mesh with specific element node coordinates and a connectivity relationship. This paper develops a new mesh quality, metric evaluating method based on the mapping process between the initial and deformed mesh, which is named mapping-based metrics. Mapping-based metrics are evaluated based on the conception of the deformation principle in continuum mechanics. This method provides a new point for mesh quality evaluation without requirements of deformed mesh coordinates and element connectivity information. Three test cases show that, comparing with indirectly solving by a geometrical method, mapping-based metrics accurately reveal the changes of the angle and area over the whole deformed domain. Additionally, the mapping-based metrics give high applicability to the quality of deformed mesh compared to mesh-based metrics. The quality evaluation method for CFD mesh proposed in this paper is effective.https://www.mdpi.com/2076-3417/11/1/59mesh deformationradial basis functionsmesh quality metricscomputational fluid dynamics |
| spellingShingle | Changchuan Xie Sijia Jia Yingjie Li Chao An Chao Yang Mapping Based Quality Metrics for Mesh Deformation Algorithms Using Radial Basis Functions Applied Sciences mesh deformation radial basis functions mesh quality metrics computational fluid dynamics |
| title | Mapping Based Quality Metrics for Mesh Deformation Algorithms Using Radial Basis Functions |
| title_full | Mapping Based Quality Metrics for Mesh Deformation Algorithms Using Radial Basis Functions |
| title_fullStr | Mapping Based Quality Metrics for Mesh Deformation Algorithms Using Radial Basis Functions |
| title_full_unstemmed | Mapping Based Quality Metrics for Mesh Deformation Algorithms Using Radial Basis Functions |
| title_short | Mapping Based Quality Metrics for Mesh Deformation Algorithms Using Radial Basis Functions |
| title_sort | mapping based quality metrics for mesh deformation algorithms using radial basis functions |
| topic | mesh deformation radial basis functions mesh quality metrics computational fluid dynamics |
| url | https://www.mdpi.com/2076-3417/11/1/59 |
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