| 三维空间二阶精度流体体积界面重构方法 |
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| 引用本文： | 梁仙红. 三维空间二阶精度流体体积界面重构方法[J]. 计算物理, 2013, 30(3): 353-360 |
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| 作者姓名： | 梁仙红 |
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| 作者单位： | 北京应用物理与计算数学研究所, 北京 100088 |
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| 基金项目： | 国家自然科学基金，中国工程物理研究院科学发展基金 |
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| 摘 要： | 给出三维空间网格模板含81个单元的最小二乘流体体积界面重构方法,并和Youngs方法及网格模板含125个单元的最小二乘流体体积界面重构方法进行比较.静态和动态的测试例子均表明:该方法能精确重构任意方向的平面界面,对C2光滑曲面它能达到二阶收敛精度.和网格模板含125个单元的最小二乘流体体积界面重构方法相比,在达到同样网格精度的条件下,减少了计算量,节省了计算时间,提高了计算效率.
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| 关 键 词： | 网格模板 最小二乘流体体积界面重构方法 二阶精度 |
| 收稿时间： | 2012-07-27 |
| 修稿时间： | 2012-12-21 |
Second Order Volume of Fluid Interface Reconstruction Method in Three Dimensions |
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| LIANG Xianhong. Second Order Volume of Fluid Interface Reconstruction Method in Three Dimensions[J]. Chinese Journal of Computational Physics, 2013, 30(3): 353-360 |
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| Authors: | LIANG Xianhong |
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| Affiliation: | Institute of Applied Physics and Computational Mathematics, Beijing 100088, China |
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| Abstract: | A second order least squares volume of fluid interface reconstruction algorithm with 81 cells in mesh stencil is introduced.The algorithm is compared with Youngs algorithm and a second order least squares volume of fluid interface reconstruction algorithm with 125 cells in mesh stencil.L∞ criteria function in three dimensions is used to measure stationary interface reconstruction errors.Stationary and advecting tests show that the algorithm can track any oriented plane exactly and it is second order accurate.Compared with second order least squares volume of fluid interface reconstruction algorithm with 125 cells in mesh stencil,calculation amount of the algoritm is much smaller.Thus CPU time is saved and computing efficiency is improved. |
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| Keywords: | mesh stencil: least squares volume of fluid interface reconstruction second order accurate |
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