求解交通流LWR模型的高分辨率熵相容格式
High-Resolution Entropy Consistent Scheme for the LWR Model of Traffic Flow
DOI: 10.12677/AAM.2022.116363, PDF,    国家自然科学基金支持
作者: 孙 妍, 封建湖*, 郑素佩：长安大学理学院，陕西 西安；任 璇：西北工业大学航天学院，陕西 西安
关键词: 交通流；熵相容格式；斜率限制器；高分辨率；Traffic Flow； Entropy Consistent Scheme； Slope Limiter； High-Resolution
摘要: 针对交通流LWR模型，构造了求解交通流LWR模型的熵相容格式，并将一种基于MUSCL型重构方法的新型斜率限制器应用于该格式中，得到了求解交通流LWR模型的高分辨率熵相容格式。将新构造的格式应用于多个实际交通流问题的求解中，数值结果表明，该格式对激波有良好的捕捉效果，没有非物理振荡，且在稀疏波区域能够平滑地过渡。
Abstract: In this paper, a high-resolution entropy consistent scheme of the LWR model in traffic flow is pro-posed. Based on MUSCL-type reconstruction method, a new kind of slope limiter is constructed. The high-resolution entropy consistent scheme for solving LWR model can be obtained by adding a slope limiter to the entropy consistent scheme. Applying the newly constructed scheme to the solu-tion of multiple practical traffic flow problems, the numerical results show that the scheme can capture shock waves well, and there are no non-physical oscillations in the discontinuous region and smooth transition in the rarefaction region.
文章引用：孙妍, 封建湖, 郑素佩, 任璇. 求解交通流LWR模型的高分辨率熵相容格式[J]. 应用数学进展, 2022, 11(6): 3406-3415. https://doi.org/10.12677/AAM.2022.116363

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