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Direct Numerical Simulation of Gravity Currents

중력류 흐름에 대한 직접수치해석

  • 이재룡 (부산대학교 대학원 기계공학과) ;
  • ;
  • 하만영 (부산대학교 기계공학부)
  • Published : 2006.05.01

Abstract

Resolved simulations are presented fur gravity current flows aiming at studying their spreading rate. The simulations are performed for two extreme configurations such as planar and cylindrical and for 3 different Grashof numbers: $10^5,\;1{\times}10^6\;and\;10^7$. Varying the size of the heavy fluid release, the study is performed for several phases of spreading, namely acceleration, slumping and inertial phases. For the simulations, efficient spectral multi-domain code is used. From the simulations results it is concluded that 2-D results predicts well the mean front velocity during the slumping phase, but fails to predict it during the inertial phase of spreading. It is also observed that the vortex dynamics of the flow is not reproduced well by the 2-D simulation.

Keywords

References

  1. Simpson, J., 1999, Gravity Currents. Cambridge University Press, second edition
  2. Allen, J., 1985, Principles of Physical Sedimentology, George Al1en and Unwin Ltd
  3. Von Karman, T., 1940, 'The Engineer Grapples with Nonlinear Problems,' Bull. Am. Math. Soc https://doi.org/10.1090/S0002-9904-1940-07266-0
  4. Benjamin, T., 1968, 'Gravity Currents and Related Phenomena,' J. Fuild Mech., Vol. 31, pp. 209-248 https://doi.org/10.1017/S0022112068000133
  5. Martin, J. and Moyce, W., 1952, 'Part V. An Experimental Study of the Collapse of Fluid Columns on a Rigid Horizontal Bottom, in a Medium of Lower, but Comparable, Density,' Phil. Trans. R. Soc. Lond. A, Vol. 244(882), pp. 325-334 https://doi.org/10.1098/rsta.1952.0007
  6. Fannelop, T. and Waldman, G., 1971, 'The Dynamics of Oil Slicks-or Creeping Crude,' AIAA J. Vol. 41, pp. 1-10
  7. Hoult, D., 1972, 'Oil Spreading in the Sea,' Ann. Rev. Fluid. Mech., Vol. 4, pp. 341-368 https://doi.org/10.1146/annurev.fl.04.010172.002013
  8. Cantero, M., 2002, 'Theoretical and Numerical Modeling of Turbidity Currents as Two-Phase Flow,' M.S. Thesis, University of Illinois, Urbana, IL
  9. Choi, S.U. and Garcia, M., 2002, '$k-{\varepsilon}$ Turbulence Modeling of Density Currents Developing Two Dimensionally on a Slope,' J. Hydr. Eng., Vol. 128(1), pp.55-63 https://doi.org/10.1061/(ASCE)0733-9429(2002)128:1(55)
  10. Street, C.L. and Macaraeg, M.G., 1989, 'Spectral Multi-domain for Large-scale Fluid Dynamic Simulations,' App. Numer. Math.s, Vol. 6, pp. 123-139 https://doi.org/10.1016/0168-9274(89)90058-5
  11. Parker, S.J., 2002, 'Stability and Vortex Shedding of Bluff Body Arrays,' PhD Thesis, University of Illinois, Urbana,IL
  12. Lee, J.R., Ha, M.Y., Balachandar, S., Yoon, H.S. and Lee, S.S., 2004, 'Natural Convection in a Horizontal Layer of Fluid with a Periodic Array of Square Cylinders in the Interior,' Phy. Fluid., Vol. 16, pp. 1273-1286 https://doi.org/10.1063/1.1694837
  13. Cantero, M., 2002, 'Theoretical and Numerical Modeling of Turbidity Currents as Two-phase Flows,' M.S. thesis, University of Illinois at Urbana-Champaign Urbana, IL, USA
  14. Cantero, M., Balachandar, S., Garcia, M. and Ferry, J., 2005, 'Direct Numerical Simulations of Planar and Cylindrical Density Currents,' J. App. Mech., under review https://doi.org/10.1115/1.2173671
  15. Chakraborty, P., Balachandar,S. and Adrian, R., 2005, 'On the Relationships Between Local Vortex Identification Schemes,' J. Fluid. Mech. Vol. 535, pp. 189-214 https://doi.org/10.1017/S0022112005004726