杨汉春, 孙越, 梁洁. 气体动力学零压流的狄拉克激波和真空相互作用的数值分析[J]. 云南大学学报(自然科学版), 2013, 35(3): 261-274. doi: 10.7540/j.ynu.20130075
引用本文: 杨汉春, 孙越, 梁洁. 气体动力学零压流的狄拉克激波和真空相互作用的数值分析[J]. 云南大学学报(自然科学版), 2013, 35(3): 261-274. doi: 10.7540/j.ynu.20130075
YANG Han-chun, SUN Yue, LIANG Jie. Numerical analysis on interactions of delta-shocks and vacuums for Zero-pressure gas dynamics[J]. Journal of Yunnan University: Natural Sciences Edition, 2013, 35(3): 261-274. DOI: 10.7540/j.ynu.20130075
Citation: YANG Han-chun, SUN Yue, LIANG Jie. Numerical analysis on interactions of delta-shocks and vacuums for Zero-pressure gas dynamics[J]. Journal of Yunnan University: Natural Sciences Edition, 2013, 35(3): 261-274. DOI: 10.7540/j.ynu.20130075

气体动力学零压流的狄拉克激波和真空相互作用的数值分析

Numerical analysis on interactions of delta-shocks and vacuums for Zero-pressure gas dynamics

  • 摘要: 通过数值模拟,对气体动力学一维零压流,分析了-激波、真空状态和接触间断之间的相互作用,包括4种不同的黎曼解结构,反映了质量集中且增加、气穴压缩和膨胀的现象.进一步对等熵流Euler方程组,展示了随着压力的衰减,这些结构和现象形成过程的信息.

     

    Abstract: Through numerical simulations,we analyze the interactions among -shocks,vacuums and contact discontinuities including four kinds of different structures of Riemann solutions which show the phenomena of increasing concentration,compression and expansion of cavitation for one-dimensional zero-pressure flow in gas dynamics.Furthermore,we exhibit the formation process of these structures and phenomena in solutions to the Euler equations for isentropic fluids as the pressure vanishes.

     

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