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Verification and Validation of the Numerical Simulation of Transverse Injection Jets using Grid Convergence Index

GCI 를 이용한 수직분사제트 수치모사의 검증 및 확인

  • Published : 2006.04.30

Abstract

Two-dimensional steady flowfields generated by transverse injection jets into a supersonic mainstream are numerically simulated. Fine-scale turbulence effects are represented by a k-${\omega}$ SST two-equation closure model which includes $y^+$ effects on the turbulence model. Solution convergence is evaluated by using Grid Convergence Index(GCI), a measure of uncertainty of the grid convergence. Comparison is made with experimental data and other turbulence models in term of surface static pressure distributions, the length of the upstream separation region, and the penetration height. Results indicate that the k-${\omega}$ SST model correctly predicts the mean surface pressure distribution and the upstream separation length for low static pressure ratios. However, the numerical predictions become less consistent with experimental results as the static pressure ratio increases. All these results are taken within 1% error band of grid convergence.

초음속 주 유동으로의 수직분사에 의해 생성되는 2차원 정상상태 유동장에 대한 수치모사를 수행하였다. 난류효과를 위해서 무차원 벽면거리($y^+$)를 고려한 2방정식 k-${\omega}$ SST 모델을 사용하였다. 또한 격자계에 따른 오차범위를 나타내는 방법으로 GCI(Gird Convergence Index)를 사용하여 해의 수렴성을 측정하였다. 표면 압력분포, 박리거리, 침투높이 등에 대해 실험결과 및 다른 난류모델을 이용한 결과들과 비교하였다. k-${\omega}$ SST 난류모델은 낮은 압력비에 대해서 표면 압력분포 및 박리거리 등을 정확하게 예측하였다. 그러나 압력비가 증가함에 따라 수치적 예측이 실험결과와 차이를 보이고 있다. 상기한 모든 결과는 격자계에 따른 해의 수렴성의 오차범위 1% 이내에서 측정되었다.

Keywords

References

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