| 求解双曲型守恒律的高精度,无波动样条逼近有限体积方法 |
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| 引用本文： | 任玉新,刘秋生.求解双曲型守恒律的高精度,无波动样条逼近有限体积方法[J].空气动力学学报,1996,14(3):281-287. |
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| 作者姓名： | 任玉新 刘秋生 |
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| 作者单位： | 清华大学 |
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| 摘 要： | 本文从三次样条逼近出发，提出了求解流体力学双曲型守恒律的一种高精度、无波动的数值方法。针对样条函数的特性，本文提出了一种新的通量限制技术，使该方法在光滑区可以达到四阶精度，在流动参数的空间分布出现拐点或极值点时分别退化为二阶或一阶精度的格式。数值实验表明，该方法对流场中的激波和接触间断有很高的分辨率，优于二阶精度的ＴＶＤ格式。
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| 关 键 词： | 数值方法 流体力学 激波捕捉技术 |
A High Order Accurate,Non-Oscillating Finite Volume Scheme Using Spline Interpolation for Solving Hyperbolic Conservation Laws |
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| Ren Yuxin, Liu Qiusheng, Wang Shaoping, Shen Mengyu.A High Order Accurate,Non-Oscillating Finite Volume Scheme Using Spline Interpolation for Solving Hyperbolic Conservation Laws[J].Acta Aerodynamica Sinica,1996,14(3):281-287. |
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| Authors: | Ren Yuxin Liu Qiusheng Wang Shaoping Shen Mengyu |
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| Affiliation: | Tsinghua University |
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| Abstract: | A finite volume scheme using spline interpolation for solvine hyperbolic conservation laws is proposed in this paper. On the basis of the characteristics of cubic spline functions, a new flux limiter is constructed. The present scheme is in forth order accuracy except at the points of inflection and extremes where the scheme is second order and first order accurate respectively. Numerical experiment indicates that this scheme is computationally efficient and of very high resolution to shock and contact discontinuities. |
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| Keywords: | numerical method spline interpolation hyperbolic conservation laws shock capture |
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