关于《HLL型MHD黎曼求解器中间状态的能量一致性》中HLLD型格式的数值扩散问题
An improved estimate of the intermediate internal energy in the energy-consistent HLLD scheme
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中文总结 AI 辅助
研究针对戴 - 伍德沃德激波管问题中HLLD-ec格式出现的密度振荡，提出对该格式的简单修改，核心方法是修改格式，主要贡献是消除了密度振荡。
中文摘要 AI 辅助
介绍了对HLLD-ec格式的一种简单修改，以消除在具有更强纵向磁场的戴 - 伍德沃德激波管问题中出现的密度振荡。原始的HLLD-ec格式在《HLL型MHD黎曼求解器中间状态的能量一致性》中被引入，作者当时并未意识到这个问题。
英文摘要
The robustness of approximate Riemann solutions has been a crucial topic in computational magnetohydrodynamics, from both theoretical and practical perspectives. Recently, the widely used HLLD approximate Riemann solution was revised, becoming significantly more robust under strong magnetic fields. Yet, simplifications were needed as the compressible slow magnetoacoustic mode is not included in the HLLD scheme, and as a result non-physical density distribution has been found when having strong slow shocks. In this note, a simple fix is introduced for the estimated intermediate internal energy, providing robust results in several representative test cases, preserving pressure-positivity when the magnetic field is enhanced by a factor of 1000.
