|
| An efficient method determining cell geometric attribute of immersed isogeometric analysis for complex CAD models |
| Received:September 11, 2023 Revised:October 14, 2023 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20230911002 |
| KeyWord:complex CAD models isogeometric analysis embedded domain method cell geometric attribute separation axis theory ray-tracing method |
| Author | Institution |
| 谢晴天 |
华中科技大学 机械科学与工程学院, 武汉 |
| 谢贤达 |
华中科技大学 机械科学与工程学院, 武汉 |
| 罗年猛 |
华中科技大学 机械科学与工程学院, 武汉 |
| 杨奥迪 |
华中科技大学 机械科学与工程学院, 武汉 |
| 王书亭 |
华中科技大学 机械科学与工程学院, 武汉 |
|
| Hits: 9 |
| Download times: 7 |
| Abstract: |
| As one of the main approaches to implementing isogeometric analysis(IGA) for complex CAD models,immersed isogeometric analysis integrates the advantage of the embedded domain method in mesh generation and the merit of IGA in solution efficiency for higher-order elements.Determining the cell’s geometric attributes is one of the key aspects in immersed isogeometric analysis method.In this paper,we combine the separation axis theory with the ray-tracing method to present a hybrid cell’s geometric attributes determining strategy,aiming at the contradiction between the efficiency and accuracy in the cell’s geometric attributes existing in the traditional ray-tracing method.The proposed method transforms the problem of the relative position relationship determination between points and solid into the intersection determination between solid and surfaces,which enables a faster and more accurate determination of the cell geometric attributes.The numerical examples show that the proposed hybrid strategy can effectively improve the efficiency and robustness of the determination,laying the foundation of immersed isogeometric analysis for complex models. |