| 关于对流差分格式有界性与CBC准则的讨论 |
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| 引用本文： | 高丽敏,倪明玖,王尚锦. 关于对流差分格式有界性与CBC准则的讨论[J]. 应用力学学报, 2001, 18(4): 98-102 |
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| 作者姓名： | 高丽敏 倪明玖 王尚锦 |
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| 作者单位： | 西安交通大学,西安,710049 |
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| 摘 要： | 通常认为CBC准则是差分格式有界性的充分条件。本文采用满足与不满足CBC准则的两种高阶差分格式对非线性问题进行了求解，重新讨论了格式有界性与CBC准则的关系，得出结论如下：在数值方法稳定的前提下，CBC准则下的有界模式是求解有界的充分条件，而非必要条件；此外，文章还分析了张涵信三阶精度格式的特点。
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| 关 键 词： | CBC准则 有界性 对流差分格式 对流有界性准则 高阶 非线性问题 张涵信三阶精度格式 SMART格式 |
| 文章编号： | 1000-4939(2001)04-098-05 |
The Discussions of Relationship Between The Boundedness of Convective Schemes and Convection Boundedness Criterion (CBC) |
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| Gao Limin Ni Mingjiu Wang Shangjin. The Discussions of Relationship Between The Boundedness of Convective Schemes and Convection Boundedness Criterion (CBC)[J]. Chinese Journal of Applied Mechanics, 2001, 18(4): 98-102 |
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| Authors: | Gao Limin Ni Mingjiu Wang Shangjin |
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| Abstract: | There exists a conflicting issue of accuracy and boundedness among the convective schemes. The paper discusses the relationship between boundedness of the numerical solution and convection boundedness criterion by analyzing the characteristic of two high order schemes, the SMART scheme and Zhang Hanxin's third order scheme, where the SMART scheme meets convection boundedness criterion and Zhang's scheme does not. The conclusions have been drawn: (1) the CBC is a sufficient but unnecessary condition for achieving a solution of boundedness (2) Zhang Hanxin's third order scheme does not meet convection boundedness criterion. |
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| Keywords: | convection boundedness criterion the boundedness of the convective schemes. |
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