| 双曲守恒律方程的降阶Spectral Volume方法研究 |
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| 引用本文： | 姜垚.双曲守恒律方程的降阶Spectral Volume方法研究[J].科技咨询导报,2014(29):211-214. |
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| 作者姓名： | 姜垚 |
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| 作者单位： | 北京航空航天大学中法工程师学院 北京 100191 |
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| 摘 要： | 文章中提出了降阶的Spectral Volume 方法（SV方法）的概念，对方法的公式进行推导，并成功将其应用与一维线性传递方程。对降阶的SV方法的稳定性进行了Fourier分析，并与传统的SV方法进行了对比。实验证明，降阶的SV方法在初值连续情况下，在线性传递方程上可以达到所期望的数值精度，并且在数值色散和数值耗散特性上较传统SV方法有显著提高。
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| 关 键 词： | SV方法 一维守恒律 降阶 |
reduced order spectral volume method for hyperbolic conservation laws |
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| JIANG Yao.reduced order spectral volume method for hyperbolic conservation laws[J].Science and Technology Consulting Herald,2014(29):211-214. |
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| Authors: | JIANG Yao |
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| Institution: | JIANG Yao (Sino-French engineering school Beijing,100191,China) |
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| Abstract: | The notion of reduced-order spectral volume method（SVM）is proposed.Formulation of the reduced-order SVM is studied. New method is applied to one-dimensional scalar conservation law.The diffusion and dispersion property of reduced-order SVM is studied by using Fourier analysis.Comparison shows that the reduced-order SVM has an advantage in terms of diffusion and dispersion property over the traditional SVM. |
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| Keywords: | spectral volume method one-dimensional conservation law reduced basis |
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