| 一维浅水波方程有限体积流通量限制方法的数值研究 |
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| 引用本文： | 刘红霞,赵彦普. 一维浅水波方程有限体积流通量限制方法的数值研究[J]. 重庆三峡学院学报, 2010, 26(3): 30-33 |
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| 作者姓名： | 刘红霞 赵彦普 |
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| 作者单位： | 1. 东莞职业技术学院,广东东莞,523808
2. 中国科学院深圳先进技术研究院,深圳,518055 |
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| 摘 要： | 本文讨论有限体积方法求解一维浅水波方程的流通量限制方法.该方法将高阶数值流通量与低阶数值流通量作适应性组合,在解的光滑区域表现为高阶精度,在解的不光滑区域表现为低阶精度从而抑制数值振荡.数值实验表明该方法能更高分辨率地求解一维非线性浅水波方程组.
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| 关 键 词： | 浅水波方程 有限体积方法 流通量限制 |
On the Finite Volume Method for the Numerical Solution of One-dimensional Shallow Water Equation |
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| LIU Hong-Xia,ZHAO Yan-Pu. On the Finite Volume Method for the Numerical Solution of One-dimensional Shallow Water Equation[J]. JOurnal of Chongqing Three Gorges University, 2010, 26(3): 30-33 |
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| Authors: | LIU Hong-Xia ZHAO Yan-Pu |
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| Affiliation: | LIU Hong-Xia ZHAO Yan-Pu(1.Dongguan Vocational , Technical School,Dongguan 523808)(2.Shenzhen Institute of Advanced Technology,Chinese Academy of Science,Shenzhen 518055) |
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| Abstract: | The flux limiter finite volume method for the numerical solution of the one-dimensional shallow water equations is discussed in this paper.In this method,the higher order numerical circulation and lower order numerical circulation make an adaptive combination.By using this method,the solution shows high accuracy in smooth regions and low precision in unsmooth regions to suppress numerical oscillation.Numerical experiments show that the method can be more precise to solve the one-dimensional nonlinear shallo... |
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| Keywords: | shallow water equation finite volume method liquidity constraints |
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