| 一类时空二阶精度高分辨率MmB差分格式的构造及数值试验 |
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| 引用本文： | 郑华盛,赵宁,戴嘉尊. 一类时空二阶精度高分辨率MmB差分格式的构造及数值试验[J]. 计算数学, 1998, 20(2): 137-146 |
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| 作者姓名： | 郑华盛 赵宁 戴嘉尊 |
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| 作者单位： | 南昌航空工业学院(郑华盛)，南京航空航天大学(赵宁，戴嘉尊) |
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| 摘 要： | 1．引言考虑如下二维双曲型守恒律初值问题的数值解．H．M．Wu和S．L．Yang在文山中给出了MmB差分格式的定义如下：给定（．1）M差分格式定义．若则称格式（1．2）为MmB差分格式．这里BmB表示局部MaximumandminimumBounds．由定义可知，若差分格式（1．2）可写为形式且。＼P’三0，＞。：r’一1．则格式（1．4）为MmB差分格式．j＝l文山构造了二维双曲型守恒律的二类二阶精度的MmB差分格式，使构造二维高分辨格式有了新的突破，但他们是从标量线性双曲型守恒律出发，然后把结果推广到非线性情形．本文直接从二维非线性双曲型守恒律…
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| 关 键 词： | 双曲型方程 精度 MmB差分格式 差分格式 |
A CLASS OF HIGH RESOLUTION SECOND ORDER MmB DIFFERENCE SCHEMES |
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| Zheng Hua-sheng. A CLASS OF HIGH RESOLUTION SECOND ORDER MmB DIFFERENCE SCHEMES[J]. Mathematica Numerica Sinica, 1998, 20(2): 137-146 |
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| Authors: | Zheng Hua-sheng |
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| Affiliation: | Zheng Hua-sheng(Nanchang Institute of Aeronautical Technology, Nanchang)Zhao Ning; Dai Jia-zun (Nanjing University of Aeronautics and Astronautics, Nanjing) |
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| Abstract: | In this paper, a new Riemann-solver-free class of difference schemes are const ructed to 2-D scalar nonlinear hyperbolic conservation laws. We proved thatthese schemes had second order accurate in space and time, and satisfied MmB properties under the appropriate CFL limitation. Moreover, these schemes hadbeen extended to systems of 2-D conservation laws. Finally, several numericalexperients show that the performance of these schemes are quite satisfactory. |
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| Keywords: | Hyperbolic equations Conservation laws Second order accuracy MmB difference schemes |
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