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| 摘要: |
| 本文研究了线性传输方程的数值计算问题.利用Godunov格式、Entropy格式、Ultra-bee格式和Entropy-Ultra-bee格式对线性传输方程进行了数值计算,获得了相应的数值结果.数值实验结果表明Entropy-Ultra-bee格式结合了Entropy格式和Ultra-bee格式的优点,在整个计算区域都有比较高的分辨率,而且没有出现非物理振荡. |
| 关键词: Godunov格式 Entropy格式 Ultra-bee格式 Entropy-Ultra-bee格式 |
| DOI： |
| 分类号:O241.82 |
| 基金项目:国家自然科学基金资助(11201436). |
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| COMPARISON OF SEVERAL NUMERICAL SCHEMES FOR SCALAR LINEAR ADVACTION EQUATION |
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CHEN Rong-san,ZOU Min,LIU An-ping
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| Abstract: |
| In this paper,we investigate the numerical computation of linear advaction equation.Using the Godunov scheme,Entropy scheme,Ultra-bee scheme and Entropy-Ultra-bee scheme,the linear advaction equation is solved numerically,and we obtain the corresponding numerical results.Numerical results show that the Entropy-Ultra-bee scheme combines the advantages of Entropy scheme and Ultra-bee scheme,and it has good resolution in the whole computational domain and does not produce non-physical oscillations. |
| Key words: Godunov scheme Entropy scheme Ultra-bee scheme Entropy-Ultra-bee scheme |
