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| A boundary face method for 3D potential problems based on parametric surface |
| Received:June 12, 2009 Revised:December 15, 2009 |
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| DOI：10.7511/jslx201103004 |
| KeyWord:BEM parametric surface surface patch boundary face method |
| Author | Institution |
| 覃先云 |
湖南大学 汽车车身先进设计与制造国家重点实验室,长沙 |
| 张见明 |
湖南大学 汽车车身先进设计与制造国家重点实验室,长沙 |
| 庄超 |
湖南大学 汽车车身先进设计与制造国家重点实验室,长沙 |
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| Abstract: |
| This work presents a new implementation of the boundary element method (BEM), here called the boundary face method (BFM). The conventional BEM uses the standard elements for boundary integration and approximation of the geometry, and thus introduces errors of geometry. In this paper, the boundary faces of the geometry are discretized by patches in parametric space. Both boundary integration and variable approximation are also performed in the parametric space. The geometric data at Gaussian integration points, such as the coordinates, the Jacobians and the out normals are calculated directly from the faces rather than from elements, and thus no geometric error will be introduced. The BFM has real potential to seamlessly interact with CAD software, because its implementation can be directly based on a CAD model through its Brep data. Numerical examples for 3D potential problems demonstrate that the new method provides not only more accurate results than the conventional BEM, but also a new way toward automatic simulation, as simulations can be greatly simplified with our method. |
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