| 一类基于RBF插值的守恒重映算法 |
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| 引用本文： | 赵小杰,赵宁,王东红.一类基于RBF插值的守恒重映算法[J].计算物理,2012,29(1):10-16. |
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| 作者姓名： | 赵小杰 赵宁 王东红 |
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| 作者单位： | 1. 南京航空航天大学航空宇航学院,江苏南京,210016
2. 南京航空航天大学理学院,江苏南京,210016 |
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| 摘 要： | 为保证重映过程的高守恒精度和单调性,并且在间断处具有极高的分辨率,基于径向基函数(RBF)插值方法构造了一类适用于任意网格的RBF守恒重映算法,通过计算守恒误差测试重映算法的守恒精度.将该方法用于光滑函数和含有间断的函数,并与其它守恒重映方法比较,表明该方法数值结果较好.
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| 关 键 词： | 守恒重映 网格重构 径向基函数 |
A Kind of Conservative Remapping Algorithms Based on RBF Interpolations |
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| ZHAO Xiaojie
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ZHAO Ning
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WANG Donghong.A Kind of Conservative Remapping Algorithms Based on RBF Interpolations[J].Chinese Journal of Computational Physics,2012,29(1):10-16. |
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| Authors: | ZHAO Xiaojie ZHAO Ning WANG Donghong |
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| Institution: | 1.College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China; 2.College of Sciences,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China) |
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| Abstract: | In order to ensure conservative precision and monotonicity of a remapping algorithm and discontinuity with high resolution,a new kind of conservative RBF remapping algorithm is developed based on radial based function interpolation.Conservative precision is tested with a conservative error remapping algorithm.Numerical results are obtained for smooth and discontinuous functions.Compared with other remapping methods,the method gives good numerical results. |
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| Keywords: | conservative remapping reconstruction grids radial based function |
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