LARGE EDDY SIMULATION OF THE COMPRESSIBLE FLOW OVER A OPEN CAVITY

큰에디모사기법을 이용한 공동 주위의 압축성유동 해석

  • 오건제 (경남대학교 기계자동화공학부)
  • Published : 2003.03.01

Abstract

Large eddy simulation is used to investigate the compressible flow over a open cavity, The sub-grid scale stresses are modeled using the dynamic model. The compressible Navier-Stokes equations are solved with the sixth order accurate compact finite difference scheme in the space and the 4th order Runge-Kutta scheme in the time. The results show a typical flow pattern of the shear layer mode of oscillation over the cavity. The votical disturbances, the roll-up of vorticity, and impingement and scattering of vorticity at the downstream cavity edge can be seen in the shear layer. Predicted acoustic resonant frequency is in good agreement with that of the empirical formula. The mean flow streamlines are nearly horizontal along the mouth of the cavity. The pressure has its minimum value in the vortex core inside the cavity.

큰에디모사기법을 사용하여 압축성 공동유동을 수치해석하였다. Dynamic 모델을 사용하여 모델상수를 구했으며 공간으로 6차 유한차분기법, 시간에 대하여 4차 Runge-Kutta 수치기법을 사용하였다. 공동 주위의 유동을 보면 중심선을 따른 전단유동의 발달, 에디의 발생과 소멸 현상을 잘 볼 수 있었다. 유동결과로부터 예측된 공진 주파수는 Rossiter의 실험식 결과와 비교적 잘 일치하였다. 평균 유선의 분포는 공동의 중심선을 따라서 평행하였으며 공동 내부 후반부에서 압력이 급격히 감소됨을 알 수 있었다.

Keywords

References

  1. Rossiter, J.E., 'Wind tunnel experiments on the flow over rectangular cavities at subsonic and transonic speeds', Technical Report 3438, Aeronautical Research Council Reports and Memoranda. 1964
  2. Weber, C., 'Development of the implicit method for Navier-Stokes simulations', Ph.D. Thesis, CERFACS. 1998, pp. 26-30
  3. Wilcox, D. C, 'Turbulence Modelling for CFD', DCW Industries, Inc., California, 1993, pp. 180-182, pp. 326-327
  4. Moin, P., Squires, W., Cabot, W., and Lee, S., 'A dynamic sub-grid scale model for compressible turbulence and scalar transport', Phys. Fluids A, Vol. 3, 1991, pp. 2746-2757 https://doi.org/10.1063/1.858164
  5. Germano, M., Piomelli, U., Moin, P., and Cabot, W., 'A dynamic sub-grid scale eddy viscosity model', Phys. Fluids A, Vol. 3, 1991, pp. 1760-1765 https://doi.org/10.1063/1.857955
  6. Lilly, D.K., 'A proposed modification of the Germano sub-grid closure method', Phys. Fluids A, Vol. 4, 1992, pp. 633-635 https://doi.org/10.1063/1.858280
  7. 최명렬, 최해천,강신형, '큰 에디 모사기법을 이용한 초기 천이 경계층 유동 및 방사소음해석', 대한기계학회논문집(B), 제21권 제6호, 1997, pp. 779-792
  8. Colonius, T., Lele, S. K., and Moin, P., 'Sound generation in a mixing layer', J. Fluid Mech., Vol. 330, 1997, pp.375-409 https://doi.org/10.1017/S0022112096003928
  9. Colonius, T., Basu, A. J., and Rowley., C.W., 'Numerical investigation of the flow past a cavity', AIAA Paper 99-1912, 1999
  10. Poinsot, T., and Lele, S.K., 'Boundary conditions for direct simulation of compressible viscous flows', J. Computational Phys. Vol. 101, 1992, pp. 104-129 https://doi.org/10.1016/0021-9991(92)90046-2
  11. Tam, C.K.W., and Block, P.J.W., 'On the tones and pressure oscillations induced by flow over rectangular cavities', J. Fluid Mech., Vol. 89, 1978, pp. 373-399 https://doi.org/10.1017/S0022112078002657