CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2017, Vol. 34 ›› Issue (4): 394-402.

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Numerical Investigation of Bulk Viscosity Effect on Two-dimensional Toroidal Shock Wave Focusing

LI Xindong1, ZHAO Yingkui1, OUYANG Biyao1, HU Zongmin2, JIANG Zonglin2   

  1. 1. Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;
    2. Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2016-11-14 Revised:2016-12-18 Online:2017-07-25 Published:2017-07-25

Abstract: With kinetic and continuum theories of bulk viscosity coefficient, bulk-viscosity effect on two-dimensional toroidal shock-wave focus (Mach number Ma=2.0) is studied numerically. It shows that bulk-viscosity effect on toroidal shock-wave focusing is not negligible for perfect gases. Due to bulk viscous effect in compressible flows, pressure, temperature and density at the central focus perform 20% reduction, 10% increase and 30% reduction, respectively. Compared with rotational mode, shock wave focusing present obvious bulk-viscosity effect in vibrational mode, since bulk viscous stress has same order of magnitude with thermodynamic pressure.

Key words: compressible flow, thermally perfect gas, bulk viscosity effect, shock-wave focus

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