@article{6c266f32f9ac41c592b0b89a5c4411e0,

title = "Numerical study of viscous effects on centreline shock reflection in axisymmetric flow",

abstract = "Viscous effects on centreline shock reflection in an axisymmetric flow are studied numerically using Navier-Stokes and direct simulation Monte Carlo solvers. Computations at low Reynolds numbers have resulted in a configuration consisting of two shock waves, in contrast to the inviscid theory. On the other hand, computations at high Reynolds numbers have yielded a three-shock configuration in qualitative agreement with the inviscid theory prediction. This behaviour is explained by the presence of the so-called non-Rankine-Hugoniot zone, which accounts for the deviation of the shock structure from the inviscid paradigm. At Reynolds numbers on the verge of the transition from a two-shock to three-shock configuration, extremely high pressure that would be unattainable with the classical Rankine-Hugoniot relation for any shock configuration may occur. An analogy to the Guderley singularity in cylindrical shock implosion has been deduced for the shock behaviour from a mathematical viewpoint.",

author = "G. Shoev and H. Ogawa",

note = "Funding Information: The authors wish to thank Dr Ye. Bondar for valuable discussions and Professor A. Kudryavtsev for the valuable advice to consider total-enthalpy flowfields. The work carried out at ITAM was supported by the Russian Foundation for Basic Research (Grant No. 18-38-20113). The computations were performed using the supercomputing cluster at the Information and Computing Centre of Novosibirsk State University (NSU) and Siberian Supercomputer Centre (SSCC ICMMG SB RAS). The work conducted at RMIT University was supported by the Australian Research Council through the Discovery Early Career Researcher Award (DECRA, Grant No. DE120102277). The second author is also thankful to the Institute of Fluids Science, Tohoku University, whose support in the Collaborative Research Projects (Nos. J14054, J15R005, J16090, J17R001, and J18I042) has led to the present collaborative work. Publisher Copyright: {\textcopyright} 2019 Author(s).",

year = "2019",

month = feb,

day = "1",

doi = "10.1063/1.5085267",

language = "English",

volume = "31",

journal = "Physics of Fluids",

issn = "1070-6631",

publisher = "American Institute of Physics Publising LLC",

number = "2",

}