Multicomponent flow modeling

Multicomponent flow modeling
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DOI:
10.1007/s11425-011-4346-y
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发表时间:
1999-08
期刊:
Science China Mathematics
影响因子:
--
通讯作者:
V. Giovangigli
V. Giovangigli
中科院分区:
其他
文献类型:
--
作者:
V. Giovangigli

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我们提出了由气体动力学理论导出的多组分流动模型,并研究了由此产生的偏微分方程组的对称双曲抛物结构。我们处理柯西问题的光滑解以及爆燃波,也称为锚定波的存在。我们进一步讨论了具有类似双曲抛物线结构的相关模型,特别是具有温度方程的圣维南系统以及控制化学平衡流动的方程。接下来,我们研究了具有不同数学结构的各向异性输运通量的多组分电离和磁化流模型。我们最后讨论了专门用于复杂化学流动的数值算法,特别是多组分输运性质的评估,以及多组分输运的影响。
We present multicomponent flow models derived from the kinetic theory of gases and investigate the symmetric hyperbolic-parabolic structure of the resulting system of partial differential equations. We address the Cauchy problem for smooth solutions as well as the existence of deflagration waves, also termed anchored waves. We further discuss related models which have a similar hyperbolic-parabolic structure, notably the Saint-Venant system with a temperature equation as well as the equations governing chemical equilibrium flows. We next investigate multicomponent ionized and magnetized flow models with anisotropic transport fluxes which have a different mathematical structure. We finally discuss numerical algorithms specifically devoted to complex chemistry flows, in particular the evaluation of multicomponent transport properties, as well as the impact of multicomponent transport.