HLL型Riemann解算器算术平均信号速度估计的不一致性

Journal of Computational Physics: X Pub Date : 2020-09-01 DOI:10.1016/j.jcpx.2020.100077

Nico Fleischmann, Stefan Adami, Nikolaus A. Adams

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引用次数: 1

摘要

在这篇简短的笔记中，我们强调了HLL型黎曼解算器在信号速度估计选择方面的敏感性，并证明了算术平均估计的主要不足。对两个重要的黎曼问题和一个经典的弓形冲击模拟的研究表明，算术平均估计的固有不一致可能导致意外行为和错误结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On an inconsistency of the arithmetic-average signal speed estimate for HLL-type Riemann solvers

In this short note, we highlight the sensitivity of the HLL-type Riemann solver with respect to the choice of signal speed estimates and demonstrate a major deficiency of the arithmetic-average estimate. The investigation of two essential Riemann problems and a classical bow shock simulation reveals that inherent inconsistencies of the arithmetic-average estimate may lead to unexpected behavior and erroneous results.

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