| 一个求解双曲型守恒律方程的高分辨率GVC格式 |
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| 引用本文： | 朱庆勇. 一个求解双曲型守恒律方程的高分辨率GVC格式[J]. 高等学校计算数学学报, 2000, 22(2): 169-174 |
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| 作者姓名： | 朱庆勇 |
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| 作者单位： | 中山大学数学与计算科学学院 |
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| 摘 要： | 1 引 言本文研究双曲型方程:ut+fx=0, t>0,-∞
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| 关 键 词： | 双曲型守恒律方程 高分辨率GVC格式 数值解 |
A HIGH RESOLUTION SCHEME(GVC) FOR SOLVING HYPERBOLIC CONSERVATION LAWS |
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| Zhu Qingyong. A HIGH RESOLUTION SCHEME(GVC) FOR SOLVING HYPERBOLIC CONSERVATION LAWS[J]. Numerical Mathematics A Journal of Chinese Universities, 2000, 22(2): 169-174 |
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| Authors: | Zhu Qingyong |
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| Abstract: | A high resolution scheme(GVC) for solving hyperbolic conservation laws is described in this paper. In order to prevent the nonphysical oscillations in the vicinity of the shock the group velocity control method(GVC) is used. The reason of oscillation production in numerical solutions is nonuniformity of group velocity of wave packets. The technique can be used in TVD schemes or the uniformly second order schemes to obtain high shock resolution. |
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| Keywords: | GVC(Group Velocity Control) hyperbolic conservation laws Euler equations. |
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