| ENO守恒插值(重映)方法及其在流体计算中的应用 |
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| 引用本文： | 王永健,赵宁,王春武,王东红.ENO守恒插值(重映)方法及其在流体计算中的应用[J].计算物理,2008,25(6):641-648. |
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| 作者姓名： | 王永健 赵宁 王春武 王东红 |
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| 作者单位： | 1. 南京航空航天大学理学院, 江苏 南京 210000;2. 南京航空航天大学空气动力学系, 江苏 南京 210016 |
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| 基金项目： | 国家自然科学基金，计算物理重点实验室基金，南京航空航天大学青年创新基金及南京航空航天大学理学院青年创新基金 |
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| 摘 要： | 在ENO(Essentially Non-oscillatory)守恒插值方法的基础上,分析和研究现今流体力学计算中涉及的几类网格技术:重叠网格技术、自适应加密技术和运动网格技术.基于ENO插值多项式构造的重映方法具有良好的守恒性,可以有效保证数据传递中物理量的总体守恒.提出该类守恒插值方法在以上几种网格技术中的一些应用前景,并给出一些数值算例.
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| 关 键 词： | ENO插值多项式 守恒插值 重叠网格 自适应加密 运动网格 |
| 收稿时间： | 2007-07-04 |
| 修稿时间： | 2007-11-14 |
Conservative Interpolation(Remapping)Algorithm Based on ENO Interpolation and Application in Computational Fluid Dynamics |
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| WANG Yongjian,ZHAO Ning,WANG Chunwu,WANG Donghong.Conservative Interpolation(Remapping)Algorithm Based on ENO Interpolation and Application in Computational Fluid Dynamics[J].Chinese Journal of Computational Physics,2008,25(6):641-648. |
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| Authors: | WANG Yongjian ZHAO Ning WANG Chunwu WANG Donghong |
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| Institution: | 1. College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;2. Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China |
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| Abstract: | We summarize conservative remapping algorithms based on ENO(essentially non-oscillatory) interpolation.Three numerical techniques in computational fluid dynamics are discussed: overlapping mesh method,adaptive refinement mesh method and moving mesh method.Physical quantities transfer between meshes.Conservativeness is important,especially in computing shock and contact discontinuity.We propose a remapping algorithm based on ENO which is conservative and accurate in transferring physical quantities between meshes and give numerical examples.It shows that the algorithm has ability of resolving conservative problems with above mesh techniques in computational fluid dynamics. |
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| Keywords: | essentially non-oscillatory interpolation polynomial conservative interpolation overlapping mesh technique adaptive refinement mesh methods moving mesh methods |
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