Based on the diatomic ellipsoidal statistical Bhatnagar-Gross-Krook (ES-BGK) model, the stochastic particle method has been implemented and compared with the direct simulation Monte Carlo (DSMC) method. A nitrogen flow around a cylinder is simulated under various Knudsen number conditions. As the result, the ES-BGK method can effectively predict the density distribution and, consequently, the thickness of the shock wave. Although the ES-BGK produces a less steep gradient of translational temperature at the shock front, it can reproduce the overshoot of translational temperature accurately.

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ES-BGK Model with Internal Energy Relaxation: Application to Hypersonic Flow around a Cylinder

  • Woonghwi Park,
  • Eunji Jun

摘要

Based on the diatomic ellipsoidal statistical Bhatnagar-Gross-Krook (ES-BGK) model, the stochastic particle method has been implemented and compared with the direct simulation Monte Carlo (DSMC) method. A nitrogen flow around a cylinder is simulated under various Knudsen number conditions. As the result, the ES-BGK method can effectively predict the density distribution and, consequently, the thickness of the shock wave. Although the ES-BGK produces a less steep gradient of translational temperature at the shock front, it can reproduce the overshoot of translational temperature accurately.