Numerical investigation of toroidal shock wave focusing in a cylindrical chamber |
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Authors: | H Teng Z Jiang Z Han S H R Hosseini K Takayama |
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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 |
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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 |
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Keywords: | DCD scheme Toroidal shock wave focusing Spherical double Mach reflection |
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