DOI QR코드

DOI QR Code

Three-Dimensional Numerical Simulation of Intrusive Density Currents

  • Received : 2014.06.26
  • Accepted : 2014.07.15
  • Published : 2014.07.31

Abstract

Density currents have been easily observed in environmental flows, for instance turbidity currents and pollutant plumes in the oceans and rivers. In this study, we explored the propagation dynamics of density currents using the FLOW-3D computational fluid dynamics code. The renormalization group (RNG) $k-{\varepsilon}$ scheme, a turbulence numerical technique, is employed in a Reynold-averaged Navier-Stokes framework (RANS). The numerical simulations focused on two different types of intrusive density flows: (1) propagating into a two-layer ambient fluid; (2) propagating into a linearly stratified fluid. In the study of intrusive density flows into a two-layer ambient fluid, intrusive speeds were compared with laboratory experiments and analytical solutions. The numerical model shows good quantitative agreement for predicting propagation speed of the density currents. We also numerically reproduced the effect of the ratio of current depth to the overall depth of fluid. The numerical model provided excellent agreement with the analytical values. It was also clearly demonstrated that RNG $k-{\varepsilon}$ scheme within RANS framework is able to accurately simulate the dynamics of density currents. Simulations intruding into a continuously stratified fluid with the various buoyancy frequencies are carried out. These simulations demonstrate that three different propagation patterns can be developed according to the value of $h_n/H$ : (1) underflows developed with $h_n/H=0$ ; (2) overflows developed when $h_n/H=1$ ; (3) intrusive interflow occurred with the condition of 0 < $h_n/H$ < 1.

Keywords

References

  1. An, S. D., Julien, P. Y., Venayagamoorthy, S. K., 2012, Numerical simulation of particle-driven gravity currents, Environ. Fluid Mech., 12(6), 495-513. https://doi.org/10.1007/s10652-012-9251-6
  2. Benjamin, T. B., 1968, Gravity currents and related phenomena, J. Fluid Mech., 31(2), 209-248. https://doi.org/10.1017/S0022112068000133
  3. Bolster, D., Hang, A., Linden, P., 2008, The front speed of intrusions into a continuously stratified medium, J. Fluid Mech., 594, 369-377.
  4. Britter, R. E., Simpson, J. E., 1981, A note on the structure of the head of an intrusive gravity current, J. Fluid Mech., 112, 459-466. https://doi.org/10.1017/S0022112081000517
  5. Cheong, H. B., Kuenen, J. J. P., Linden, P.F., 2006, The front speed of intrusive gravity currents, J. Fluid Mech., 552, 1-11. https://doi.org/10.1017/S002211200500772X
  6. FLOW-3D, 2007, User guide and manual release 9.3, Flow Science Inc, Santa Fe, NM.
  7. Fringer, O. B., Gerritsen, M. G., Street, R. L., 2006, An unstructured-grid, finite-volume, nonhydrostatic, parallel coastal ocean simulator, Ocean Modell., 14, 139-173. https://doi.org/10.1016/j.ocemod.2006.03.006
  8. Gill, A. E., 1982, Atmosphere-ocean dynamics. Philosophical transactions. Series A, mathematical, physical, and engineering sciences, Academic Press, New York.
  9. Hirt, C. W., Nichols, B. D., 1981, Volume of fluid (VOF) method for the dynamics of free boundaries, J. Comput. Phys., 39, 1-11. https://doi.org/10.1016/0021-9991(81)90134-0
  10. Keulegan, G. H., 1957, Thirteenth progress report on model laws for density currents an experimental study of the motion of saline water from locks into fresh water channels, U. S. Natl. Bur. Standards Rept. 5168.
  11. Maxworthy, T., Leilich, J., Simpson, J., 2002, The propagation of a gravity current into a linearly stratified fluid, J. Fluid Mech., 453, 371-394.
  12. Turner, J., 1979, Buoyancy effects in fluids. Cambridge University Press, New York.
  13. Ungarish, M., 2006, On gravity currents in a linearly stratified ambient: A generalization of Benjamin's steady-state propagation results, J. Fluid Mech., 548, 49-68. https://doi.org/10.1017/S0022112005007421
  14. Yakhot, V., Orszag, S. A., Thangam, S., Gatski, T. B., and Speziale, C. G. 1992. "Development of turbulence models for shear flows by a double expansion technique." Phys. of Fluids, 4, 1510-1520. https://doi.org/10.1063/1.858424

Cited by

  1. Sensitivity Analysis of Flow and Temperature Distributions of Density Currents in a River-Reservoir System under Upstream Releases with Different Durations vol.7, pp.11, 2015, https://doi.org/10.3390/w7116244