Nomi Yuji, Gotoda Hiroshi, Kandani Shuya, Almarcha Christophe
Department of Mechanical Engineering, Tokyo University of Science, 6-3-1 Niijuku, Katsushika, Tokyo 125-8585, Japan.
Aix-Marseille University, CNRS, Centrale Marseille, IRPHE, F-13451 Marseille Cedex 20, France.
Phys Rev E. 2021 Feb;103(2-1):022218. doi: 10.1103/PhysRevE.103.022218.
We study the effect of gravity on spatiotemporal flame front dynamics in a Hele-Shaw cell from the viewpoint of complex networks. The randomness in flame front dynamics significantly increases with the gravitational level when the normalized Rayleigh number R_{a} is negative. This is clearly identified by two network entropies: the flame front network entropy and the transition network entropy. The irregular formation of large-scale wrinkles driven by the Rayleigh-Taylor instability plays an important role in the formation of high-dimensional deterministic chaos at R_{a}<0, resulting in the increase in the randomness of flame front dynamics.
我们从复杂网络的角度研究了重力对Hele-Shaw盒中时空火焰前沿动力学的影响。当归一化瑞利数(R_{a})为负时，火焰前沿动力学的随机性会随着重力水平的增加而显著增大。这可以通过两种网络熵清晰地识别出来：火焰前沿网络熵和转变网络熵。由瑞利-泰勒不稳定性驱动的大规模皱纹的不规则形成，在(R_{a}<0)时高维确定性混沌的形成中起着重要作用，导致火焰前沿动力学随机性增加。
