Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

An Immersed Boundary Method for Simulation of Density-Stratified Flows

밀도 성층 유동 해석을 위한 가상 경계법

  • 윤동혁 (인하대학교 대학원 기계공학과) ;
  • 양경수 (인하대학교 기계공학부)
  • Published : 2005.08.01
Download PDF
⟨ Previous Next ⟩

Abstract

An immersed boundary method for simulation of density-stratified flows has been developed and applied to computation of viscous flows past three different types of obstacle under table density stratification, namely laminar flows past a vertical barrier, a cosine hill, and a sphere, respectively. Density forcing is introduced on the body surface or inside the body. Significant changes in flow characteristics are observed depending on Fr. The numerical results are in good agreement with other authors' experimental and numerical results currently available, and shed light on computation of density-stratified flows in complex geometries.

Keywords

References

  1. Eiff, O. S. and Bonneton, P., 2000, 'Lee-Wave Breaking over Obstacles in Stratified Flow,' Physics of Fluids, Vol. 12, No. 5, pp. 1073-1086 https://doi.org/10.1063/1.870362
  2. Gheusi, F, Stein, J. and Eiff, O. S., 2000, 'A Numerical Study of Three-Dimensional Orographic Gravity-Wave Breaking Observed in a Hydraulic Tank,' J. Fluid Mech., Vol. 410, pp. 67-99 https://doi.org/10.1017/S0022112099008009
  3. Uchida, T. and Ohya, Y., 1997, 'A Numerical Study of Stably Stratified Flows over a Two-Dimensional Hill,' Journal of Wind engineering and industrial aerodynamics, Vol. 67, pp. 493-506 https://doi.org/10.1016/S0167-6105(97)00096-2
  4. Mason, P. J., 1977, 'Forces on Shperes Moving Horizontally in a Rotating Stratified Fluid,' Geophys. Astrophys. Fluid Dyn. Vol. 8, pp. 137-154 https://doi.org/10.1080/03091927708240374
  5. Lofquist, K. E. B. and Purtell, L. P., 1984, 'Drag on a Sphere Moving Horizontally Through a Stratified Liquid,' J. Fluid Mech., Vol. 148, pp. 271-284 https://doi.org/10.1017/S0022112084002342
  6. Hanazaki, H., 1988, 'A Numerical Study of Three-Dimensional Stratified Flow Past a Sphere,' J. Fluid Mech., Vol. 192, pp. 393-419 https://doi.org/10.1017/S0022112088001910
  7. Lin, Q., Lindberg, W.R., Boyer, D.L. and Fernando, H.J.S., 1992, 'Stratified Flow Past a Sphere,' J. Fluid Mech., Vol. 240, pp. 315-354 https://doi.org/10.1017/S0022112092000119
  8. Lee, S. and Yang, K. -S., 2004, 'Flow Past a Sphere in Density-Stratified Fluid,' Theoret. Comput. Fluid Dynamics, Vol. 18, pp. 265-276 https://doi.org/10.1007/s00162-004-0134-4
  9. Kim, J., Kim, D. and Choi, H., 2001, 'An Immersed-Boundary Finite-Volume Method for Simulations of Flow in Complex Geometries,' J. Comput. Phys., Vol. 171, pp. 132-150 https://doi.org/10.1006/jcph.2001.6778
  10. Kim, J. and Choi, H., 2004, 'An Immersed-Boundary Finite-Volume Method for Simulation of Heat Transfer in Complex Geometries,' KSME Int. J., Vol. 18, pp. 1026-1035
  11. Paisley, M. F., 1997, 'Multigrid Computation of Stratified Flow over Two-Dimensional Obstacles,' J. Comput. Phys., Vol. 136, pp. 411-424 https://doi.org/10.1006/jcph.1997.5764
  12. Roos, F. W. and Willmarth, W. W., 1971, 'Some Experimental Results on Sphere and Disk Drag,' AIAA J., Vol. 9, No. 2, pp. 285-291 https://doi.org/10.2514/3.6164
  13. Johnson, T. A. and Patel, V. C., 1999, 'Flow Past a Sphere up to a Reynolds Numbers of 300,' J. Fluid Mech., Vol. 378, pp. 19-70 https://doi.org/10.1017/S0022112098003206
  14. Crapper, G. D., 1959, 'A Three-Dimensional Solution for Waves in the lee of Mountains,' J. Fluid Mech., Vol. 6, pp. 51-76 https://doi.org/10.1017/S0022112059000490