| 非结构网格上Level Set方程的间断有限元解法 |
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| 引用本文： | 刘帅强,欧阳洁,阮春蕾. 非结构网格上Level Set方程的间断有限元解法[J]. 计算物理, 2011, 28(5): 649-658 |
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| 作者姓名： | 刘帅强 欧阳洁 阮春蕾 |
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| 作者单位： | 西北工业大学理学院, 陕西 西安 710129 |
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| 基金项目： | 国家自然科学基金(批准号:10871159)资助项目 |
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| 摘 要： | 针对间断有限元弱形式难于求解可压缩流场中Level Set方程的问题提出间断有限元强形式,从而在统-框架下解决Level Set方程在可压缩与不可压缩流场中的求解问题.通过非结构网格上采用Legendre-Gauss-Lobatto节点构造基函数,在复杂区域上可以达到任意高阶的精度.将若干-、二、三维算例与已有文献或解析解比较,验证方法追踪自由界面的有效性.结果表明,该方法适合各种情形下Level Set方程求解,易于在复杂区域的非结构网格上实施,精度高、分辨率高且具有高质量守恒性,既能避免重新初始化过程又方便向高维扩展.
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| 关 键 词： | 间断有限元 强形式 LevelSet 非结构网格 自由界面 可压缩流场 Legendre-Gauss-Lobatto |
| 收稿时间： | 2010-02-12 |
| 修稿时间： | 2010-09-26 |
Discontinuous Galerkin Method for Level Set Equation on Unstructured Grids |
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| LIU Shuaiqiang,OUYANG Jie,RUAN Chunlei. Discontinuous Galerkin Method for Level Set Equation on Unstructured Grids[J]. Chinese Journal of Computational Physics, 2011, 28(5): 649-658 |
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| Authors: | LIU Shuaiqiang OUYANG Jie RUAN Chunlei |
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| Affiliation: | Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi'an 710129, China |
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| Abstract: | A new approach,a strong form of discontinuous Galerkin method(DGM),was developed to solve level set equation on unstructured grids.A weak form is only suitable for incompressible flow,while the strong form can be used to solve level set equation in any case,including incompressible and compressible flows.The approach allows arbitrarily high order accuracy through Legendre-Gauss-Lobatto nodal distribution.Several numerical tests on one-,two-and three-dimensional unstructured grids demonstrate versatility and... |
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| Keywords: | discontinuous Galerkin strong form level set unstructured grids free surface compressible flow Legendre-Gauss-Lobatto |
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