| 一种构造三维双曲型方程完全守恒差分格式的方法 |
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| 引用本文： | 吴开腾,尚新春,等.一种构造三维双曲型方程完全守恒差分格式的方法[J].北京理工大学学报,2001,21(5):541-547. |
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| 作者姓名： | 吴开腾 尚新春 |
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| 作者单位： | 1. 北京理工大学
2. 北京科技大学数学力学系 |
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| 基金项目： | 国家自然科学基金;19972012; |
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| 摘 要： | 研究三维双曲型方程组的完全守恒差分格式，在差分格式中引入参数的方法，针对三维欧拉双曲型方程进行讨论，通过一系列变换和运算技巧，得到三维双曲型方程组的完全守恒差分格式，理论上证明了这些完全守恒差分格式具有二阶精度，并对三维非定常无粘性，无热传导和可压缩的欧拉流体力学方程组建立含待定参量的差分格式，为它的数值求解提供了一种方便可行的差分格式。
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| 关 键 词： | 双曲型方程 守恒律 完全守恒差分格式 流体动力学方程 数值求解 偏微分方程 |
| 文章编号： | 1001-0645(2001)05-0541-07 |
| 修稿时间： | 2000年12月22日 |
A New Method of Constructing Completely Conservative Difference Scheme for Hyperbolic Differential Equations in Three Dimensions |
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| WU Kai teng,NING Jian guo,SHANG Xin chun.A New Method of Constructing Completely Conservative Difference Scheme for Hyperbolic Differential Equations in Three Dimensions[J].Journal of Beijing Institute of Technology(Natural Science Edition),2001,21(5):541-547. |
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| Authors: | WU Kai teng NING Jian guo SHANG Xin chun |
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| Institution: | WU Kai teng 1,NING Jian guo 1,SHANG Xin chun 2 |
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| Abstract: | The completely conservative difference scheme for hyperbolic differential equations in three dimensions is studied. The parameter algorithm is introduced for three dimensional Eulerian hydrodynamic equations. It is shown that the parameters have to satisfy some conditions if the completely conservative difference schemes are to be constructed. It is proved that these schemes have second order accuracy. And the schemes with undetermined parameters are constructed for the three dimensional Eulerian equations of non viscous, non conducting, compressible fluid flow. |
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| Keywords: | hyperbolic equations conservation laws completely conservative difference schemes |
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