| 二维保单调保守恒插值算子 |
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| 引用本文： | 马利斌,胡晓燕,莫则尧.二维保单调保守恒插值算子[J].计算物理,2010,27(5):633-640. |
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| 作者姓名： | 马利斌 胡晓燕 莫则尧 |
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| 作者单位： | 1. 中国科学院海洋研究所海洋环流与波动重点实验室, 山东 青岛 266071;2. 北京应用物理与计算数学研究所, 北京 100088;3. 中国工程物理研究院研究生部, 北京 100088 |
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| 摘 要： | 基于一个一维保单调保守恒插值算子,利用不完全双二次插值提出一个二维保单调保守恒插值算子.从插值逼近角度,通过几个数值实验验证该插值算子有效.用得到的二维插值算子作为结构网格自适应加密(structured adaptive mesh refinement,SAMR)算法中的细化插值算子,求解几个二维Euler方程数值例子,结果表明,提出的二维插值算子有效.
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| 关 键 词： | 保守恒 保单调 插值算子 |
| 收稿时间： | 2009-06-09 |
| 修稿时间： | 2010-01-19 |
A Two-dimensional Monotonicity-and Conservation-preserving Interpolation Operator |
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| MA Libin,HU Xiaoyan,MO Zeyao.A Two-dimensional Monotonicity-and Conservation-preserving Interpolation Operator[J].Chinese Journal of Computational Physics,2010,27(5):633-640. |
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| Authors: | MA Libin HU Xiaoyan MO Zeyao |
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| Institution: | 1. Key Laboratory of Ocean Circulation and Wave, Institite of Oceanology, Chinese Academy of Science, Qingdao 266071, China;2. Institude of Applied Physics and Computational Mathematics, Beijing 100088, China;3. Graduate School of China Academe of Engineer Physics, Beijing 100088, China |
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| Abstract: | We propose a two-dimensional(2D) monotonicity-and conservation-preserving interpolation operator based on a one-dimensional monotonicity-and conservation-preserving interpolation operator.With several numerical examples we conclude that our interpolation operator is effective.Furthermore,we take it as a refinement interpolation operator in a structured adaptive mesh refinement(SAMR) algorithm to solve numerical examples governed by 2D Euler equation.Results show that our method is effective in SAMR. |
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| Keywords: | monotonicity-preserving conservation-preserving interpolation operator |
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