| WENO格式与虚拟单元浸入边界法在笛卡尔网格中的应用 |
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| 引用本文： | 李自启,朱君. WENO格式与虚拟单元浸入边界法在笛卡尔网格中的应用[J]. 南京气象学院学报, 2013, 5(1): 86-90 |
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| 作者姓名： | 李自启 朱君 |
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| 作者单位： | 南京航空航天大学 理学院,南京,210016;南京航空航天大学 理学院,南京,210016 |
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| 基金项目： | 国家自然科学基金(11002071) |
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| 摘 要： | 高精度有限差分WENO格式在结构网格上处理具有复杂几何外形绕流问题时较困难,而虚拟单元浸入边界法却是一种较新颖且对网格的要求较低的方法,适用于复杂几何外形边界的处理.为此,在笛卡尔网格上采用WENO格式以求解Euler守恒律方程,试图将两者有效结合起来,希望能在笛卡尔网格上处理具有复杂几何外形的物体绕流问题.最后,几个经典数值算例的结果验证了该方法的有效性.
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| 关 键 词： | WENO格式 虚拟单元浸入边界法 笛卡尔网格 |
| 收稿时间： | 2012-09-10 |
Application of WENO scheme with ghost cell immersed boundary method on Cartesian mesh |
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| LI Ziqi and ZHU Jun. Application of WENO scheme with ghost cell immersed boundary method on Cartesian mesh[J]. Journal of Nanjing Institute of Meteorology, 2013, 5(1): 86-90 |
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| Authors: | LI Ziqi and ZHU Jun |
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| Affiliation: | College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016;College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016 |
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| Abstract: | Finite difference WENO scheme of high order accuracy scheme has difficulty in dealing with the problem which has the flow over a complex geometry on structured mesh.While the ghost cell immersed boundary method is a novel and general technique for handling a flow with complex geometry without any special needs of computing mesh.We use the WENO scheme in conjunction with the ghost cell immersed boundary method to solve the above-mentioned problem on Cartesian mesh.Finally,the results of some classic numerical tests are given to verify the effectiveness of this proposed method. |
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| Keywords: | WENO scheme ghost cell immersed boundary method Cartesian mesh |
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