An interface treatment for two-material multi-species flows involving thermally perfect gases with chemical reactions

An interface treatment for two-material multi-species flows involving thermally perfect gases with chemical reactions
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涉及热完美气体与化学反应的两种材料多物质流的界面处理

DOI:
10.1016/j.jcp.2021.110707
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发表时间:
2022-01
影响因子:
4.1
通讯作者:
Tiegang Liu
Tiegang Liu
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Liang Xu;Wubing Yang;Tiegang Liu

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在可压缩双物质流的界面计算中,通常忽略比热与温度的关系,或将比热冻结。在本文中,我们提出了一个实用的界面处理,忠实地捕捉高温对界面演化的影响。建立了一种求解具有多种状态方程的黎曼问题的通用方法。在一个统一的界面态计算框架中,它提供了一种方便的方法来处理热理想气体(PG),考虑了温度对比热的影响。详细设计了求解热PG型Riemann问题完全精确解的算法。在此基础上,进一步扩展了具有近似Riemann解的修正鬼流体方法,以处理涉及热PG与化学反应的双物质流的界面。选取了几个典型问题对本文算法进行了验证和检验,以研究热PG与其它气体或液体的相互作用。结果表明,该算法能够有效地模拟各种不同类型的状态方程的两种物质多组份流动。随着温度的升高,热PG状态方程假设下的界面流动行为逐渐不同于热PG状态方程假设下的界面流动行为。
Usually, the temperature dependence of specific heats is neglected or the specific heats are frozen in interface computations for compressible two-material flows. In this paper, we present a practical interface treatment to faithfully capture the effect of high temperature on interface evolutions. A general technique for solving the Riemann problem equipped with a wide variety of equations of state (EOS) is established. In a unified framework for computing the interfacial states, it provides a convenient way to deal with the thermally perfect gas (PG) that considers the effect of temperature on specific heats. The algorithm of the complete and exact solution to Riemann problem with thermally PG is also designed in detail. Based on this technique, the modified ghost fluid method with an approximate Riemann solver is further extended to handle the interface of two-material flows involving thermally PG with chemical reactions. Several typical problems are selected to validate and test the present algorithm for the interaction between the thermally PG and other gases or liquids. The results indicate that the present algorithm enables an effective implementation for simulating various two-material multi-species flows with different types of EOS. As temperature increases, the behavior of the interfacial flows under the assumption of thermally PG EOS gradually differs from that under the assumption of calorically PG EOS.
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