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Numerical investigation of toroidal shock wave focusing in a cylindrical chamber
Authors:H Teng  Z Jiang  Z Han  S H R Hosseini  K Takayama
Institution:(1) LHD, Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100080, China;(2) Department of Modern Mechanics, University of Science and Technology of China, Hefei, 230028, China;(3) Shock Wave Research Center, Institute of Fluid Science, Tohoku University, Sendai 980-8577, Japan
Abstract:In this paper, focusing of a toroidal shock wave propagating from an annular shock tube into a cylindrical chamber was investigated numerically with the dispersion controlled dissipation (DCD) scheme. The first case for an incident Mach number of 1.5 was conducted and compared with experiments for validation. Then, several cases were calculated for higher incident Mach numbers varying from 2.0 to 5.0, and complicated flow structures were observed. The numerical study was mainly focused on two aspects: focusing process and flow structures. The process, including diffraction, focusing, and reflection, is displayed to reveal the focusing mechanism, and the flow structures at different incident. Mach numbers are used to demonstrate shock reflection styles and focusing characteristics. PACS 47.40.Ki; 47.40.Nm; 52.35.Tc
Keywords:DCD scheme  Toroidal shock wave focusing  Spherical double Mach reflection
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