| 双曲型守恒律方程的一个大时间步长二阶TVD差分格式 |
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| 引用本文： | 戴嘉尊,王晓华.双曲型守恒律方程的一个大时间步长二阶TVD差分格式[J].南京航空航天大学学报,1989(3). |
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| 作者姓名： | 戴嘉尊 王晓华 |
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| 作者单位： | 南京航空学院数理力学系
(戴嘉尊)，南京航空学院数理力学系(王晓华) |
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| 摘 要： | 本文根据Harten,A.的大时间步长差分分格式构造思想,为双曲型守恒律方程弱解计算构造了一个2K 3点大时间步长二阶显式差分格式——LTS-LF格式,得到了其在CFL限制K下为总变差不增差分格式(TVD格式)。文章按照Roe的方法推广格式到方程组情形,并就Burger’s方程和Euler方程组黎曼问题进行数值试验,结果令人满意。
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| 关 键 词： | 计算数学 守恒方程 差分格式 二阶精度 |
A Large Time-Step Second Order Accurate TVD Difference Scheme for Hyperbolic Conservation Laws |
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| Dai Jiazun Wong Xiaohua.A Large Time-Step Second Order Accurate TVD Difference Scheme for Hyperbolic Conservation Laws[J].Journal of Nanjing University of Aeronautics & Astronautics,1989(3). |
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| Authors: | Dai Jiazun Wong Xiaohua |
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| Abstract: | Based on the approach of Harten, A. a large time-step(2K 3)-point explicit second-order accurate difference scheme(LTS-LF Scheme) is constructed in this paper for the computation of weak solutions of hyperbolic conservation laws. This highly nonlinear scheme is total-variation-diminishing under a CFL-res-triction of K (TVD scheme). By using Roe's linearization technique,we extend the new scheme to hyperbolic systems of conservation law. Finally, we conduct numerical experiments for the Riemann problems of Berger's equation and Euler Systems, the results are satisfactory. |
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| Keywords: | computational mathematics conservation equations difference schemes second order accurate |
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