Numerical Entropy Production for Central Schemes
Numerical Entropy Production for Central Schemes
复制标题
中心方案的数值熵产生
DOI：
10.1137/s1064827502386712
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
G. Puppo
中科院分区：
文献类型：
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作者：
G. Puppo
本文对低阶和高阶中心格式的数值熵产生进行了详细的研究。我们的数据表明，熵产生可以用来表示激波的存在。此外，一旦识别了受冲击的单元，其余单元中出现的虚假熵产生就模仿了局部误差的行为，因此它可以用作后验误差指示器。给出了在激波跟踪和方案自适应方面的应用。我们还数值研究了三阶和四阶中心WENO格式的熵性质。据我们所知，这是第一次研究这种高阶格式的熵行为。
In this work a detailed study of the numerical entropy production for both low- and high-order central schemes is carried out. Our data show that entropy production can be used to signal the presence of shocks. Moreover, once shocked cells have been identified, the spurious entropy production occurring in the remaining cells mimics the behavior of the local error, and therefore it can be used as an a posteriori error indicator. Applications to shock tracking and scheme adaptivity are given. We also investigate numerically the entropic properties of third and fourth order Central WENO schemes. To our knowledge, this is the first study of the entropic behavior of such high-order schemes.