唐玲艳, 郭嘉, 宋松和

国防科技大学文理学院数学系, 长沙 410073

收稿日期:2019-12-11发布日期:2021-05-13


基金资助:“国家数值风洞”工程基础研究课题（NNW2018-ZT4A08）和国家自然科学基金（11571366）.

BOUND-PRESERVING WEIGHTED COMPACT NONLINEAR SCHEMES FOR SCALAR CONSERVATION LAWS WITH STIFF SOURCE TERMS

Tang Lingyan, Guo Jia, Song Songhe

Department of Mathematics, College of Liberal Arts and Sciences, National University of Defence Technology, Changsha 410073, China

Received:2019-12-11Published:2021-05-13







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带刚性源项的双曲守恒律方程是很多物理问题，特别是化学反应流的数学模型.本文考虑带刚性源项的标量双曲型守恒律方程，通过时空分离的方式，发展了一类保有界的WCNS格式.对于空间离散，我们将参数化的通量限制器推广到WCNS框架，使得方程对流项离散后满足极值原理.对于时间离散，我们将半离散的WCNS改写成指数形式，采用三阶修正指数型Runge-Kutta格式来控制方程的刚性，保持数值解的界.可以证明，本文格式对带刚性源项的一维标量守恒律方程具有保有界性和弱渐近保持性.数值试验验证了方法的有效性.
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