| 求解双曲型守恒律方程的高精度迎风紧致群速度控制法 |
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| 引用本文： | 朱庆勇,马延文.求解双曲型守恒律方程的高精度迎风紧致群速度控制法[J].计算物理,1998,15(5):531-536. |
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| 作者姓名： | 朱庆勇 马延文 |
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| 作者单位： | LNM, 中国科学院力学所, 北京 100080 |
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| 基金项目： | 本工作得到国家自然科学基金重大项目资助 |
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| 摘 要： | 从迎风紧致逼进1]出发,提出求解流体力学双曲型守恒律的一种高精度的数值方法,同时采用群速度控制方法捕捉激波。该方法在光滑区具有三阶精度。
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| 关 键 词： | 群速度控制法 迎风紧致格式 双曲守恒律 Euler方程 |
| 收稿时间： | 1997-02-01 |
| 修稿时间： | 1998-05-05 |
A HIGH ORDER ACCURATE UPWIND COMPACT SCHEME WITH GROUP VELOCITY CONTROL FOR SOLVING HYPERBOLIC CONSERVATION LAWS |
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| Zhu Qingyong,Ma Yanwen.A HIGH ORDER ACCURATE UPWIND COMPACT SCHEME WITH GROUP VELOCITY CONTROL FOR SOLVING HYPERBOLIC CONSERVATION LAWS[J].Chinese Journal of Computational Physics,1998,15(5):531-536. |
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| Authors: | Zhu Qingyong Ma Yanwen |
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| Institution: | LNM, Institute of Mechanics, Chineses Academy of Sciences, Beijing 100080 |
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| Abstract: | A high order accurate finite difference scheme is proposed in light of the upwind compact method1].The flux vectors in Euler equations are approximated by using upwind compact difference.In order to prevent the nonphysical oscillations in the vicinity of the shock the group velocity control(GVC)method is used.The reason of oscillation production in numerical solutions is nonuniformity of group velocity of wave packets.GVC is for improvement of the shock resolution.The present scheme has third order accruracy in smooth regions. |
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| Keywords: | GVC upwind compact scheme hyperbolic conservation laws Euler equations |
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