Development of 3-D Hydrodynamical Model for Understanding Numerical Analysis of Density Current due to Salinity and Temperature and its Verification

- Journal title : Journal of The Korean Society of Civil Engineers
- Volume 34, Issue 3, 2014, pp.859-871
- Publisher : Korean Society of Civil Engeneers
- DOI : 10.12652/Ksce.2014.34.3.0859

Title & Authors

Development of 3-D Hydrodynamical Model for Understanding Numerical Analysis of Density Current due to Salinity and Temperature and its Verification

Lee, Woo-Dong; Hur, Dong-Soo;

Lee, Woo-Dong; Hur, Dong-Soo;

Abstract

In order to analyze the density current due to salt and temperature difference, this study develops new numerical model (LES-WASS-3D ver. 2.0) by introducing state equation for salt and temperature and 3D advection-diffusion equation to existing 3D numerical wave tank (LES-WASS-3D ver. 1.0). To verify the applicability, the newly-developed numerical model is analyzed comparing to the experimental result of existing numerical model. In the result, it well implement the behavior and vertical salt concentration of advected and diffused seawater as well as flow velocity and temperature of the discharged warm water. This confirms the validity and effectiveness of the developed numerical model.

Keywords

LES-WASS-3D;Density current;Advection-diffusion;Salinity;Temperature;

Language

Korean

Cited by

5.

PBM (Porous Body Model) 기반의 N-S Solver를 이용한 해안대수층의 해수침투모의,이우동;정영한;허동수;

1.

2.

3.

4.

5.

References

1.

Benjamin, B. T. (1968). "Gravity current and related phenomena." J. Fluid Mech., Vol. 31, pp. 209-248.

2.

Brackbill, J. U., Kothe, D. B. and Zemach, C. (1992). "A continuum model for modeling surface tension." J. Comp. Phys., Vol. 100, pp. 335-354.

3.

Cantero, M., Balachandar, S., Garcia, M. and Ferry, J. (2006). "Direct numerical simulations of planar and cylindrical density currents." J. Appl. Mech., ASME, Vol. 73, pp. 923-930.

4.

Cummins, S. J., Francois, M. M. and Kothe, D. B. (2005). "Estimating curvature from volume fractions." Comput. Struct., Vol. 83, pp. 425-434.

5.

De Cesare, D., Boillat, J. L. and Schleiss, A. J. (2006). "Circulation in stratified lakes due to flood-induced turbidity currents." J. Environ. Eng., ASCE, Vol. 132, pp. 1508-1517.

6.

Ergun, S. (1952). "Fluid flow through packed columns." Chemical Eng., Vol. 48, No. 2, pp. 89-94.

7.

Farhanieh, B., Firoozabadi, B. and Rad, M. (2001). "The propagation of turbulent density currents on sloping beds." Scientia Iranica, Vol. 8, pp. 130-137.

8.

Firoozabadi, B., Afshin, H. and Aram, E. (2009). "Three-dimensional modeling of density current in a straight channel." J. Hydr. Eng., Vol. 135, No. 5, pp. 393-402.

9.

Georgoulas, A. N., Angelidis, P. B., Panagiotidis, T. G. and Kotsovinos, N. E. (2010). "3D numerical modelling of turbidity currents." Envir. Fluid Mech., Vol. 10, No. 6, pp. 603-635.

10.

Germano, M., Piomelli, U., Moin, P. and Cabot, W. H. (1991). "A dynamic subgrid-scale eddy viscosity model." Physics of Fluids, Vol. 3, pp. 1760-1765.

11.

Gill, A. E. (1982). "Atmosphere-ocean dynamics." New York, Academic Press.

12.

Gregg, M. C. D'Asaro, E. A., Shay, T. J. and Larson, N. (1986). "Observations of persistent mixing and near-inertial internal waves." J. Phys. Oceanogr., Vol. 16, pp. 856-885.

13.

Han, J. S., Park, S. K., Jung, S. W. and Roh, T. Y (2011). "The study of salinity distribution at Nakdong river estuary." Journal of Korean Society of Coastal and Ocean Engineers, Korean Society of Coastal and Ocean Engineers, Vol. 23, No. 1, pp. 101-108 (in Korean).

14.

Hormozi, S., Firoozabadi, B. and Ghasvari, H. (2008). "Characteristic variables and entrainment in 3-D density currents." Scientia Iranica, Vol. 15, pp. 575-583.

15.

Huppert, H. E. and Simpson, J. E. (1980). "The slumping of gravity currents." J. Fluid Mech., Vol. 99, pp. 785-799.

16.

Hur, D. S., Lee, W. D. and Cho, W. C. (2012). "Three-dimensional flow characteristics around permeable submerged breakwaters with open inlet." Ocean Eng., Vol. 44, pp. 100-116.

17.

Hur, D. S., Lee, W. D., Kim, M. K. and Yoon, J. S. (2013). "Application of 3-D numerical method (LES-WASS-3D) to estimation of nearshore current at songdo beach with submerged breakwaters." Journal of ocean engineering and technology, the Korean Society of Ocean Engineers, Vol. 24, No. 4, pp. 14-21 (in Korean).

18.

Lal, P. B. B. and Rajaratham, N. (1977). "Experimental study of bluff buoyant turbulent surface jets." J. Hydraul. Res., Vol. 15, No. 3, pp. 261-275.

19.

Lee, H. E. and Choi, S. U. (2009). "Numerical simulations of discontinuous density currents using k-${\varepsilon}$ model." Journal of the Korean Society of Civil Engineers, Korean Society of Civil Engineers, Vol. 29, No. 3-B, pp. 231-237 (in Korean).

20.

Lee, W. D. (2012). Three-dimensional hydrodynamic characteristics on wave-current interaction with density difference in the vicinity of a river mouth, Ph.D. Thesis, Nagoya Univ., Japan, p. 210.

21.

Lilly, D. K. (1991). "A proposed modification of the Germano subgrid-scale closure method." Phy. Fluids, Vol. 4, pp. 633-635.

22.

Liu, S. and Masliyah, J. H. (1999). "Non-linear flows porous media." J. Non-Newtonian Fluid Mech., Vol. 86, pp. 229-252.

23.

Marmoush, Y. R., Smith, A. A. and Hamblin, P. F. (1984). "Pilot experiments on thermal bar in lock exchange flow." J. Energy Eng., ASCE, Vol. 110, pp. 215-227.

24.

Mellor, G. L. and Yamada, M. (1982). "Development of a turbulence closure model for geophysical fluid problems." Rev. Geophys., Vol. 20, pp. 851-875.

25.

Mueller, C. and Carbone, R. (1987). "Dynamics of a thunderstorm outflow." J. Atmos. Sci., Vol. 44, pp. 1879-1898.

26.

Natale, M. D. and Vicinanza, D. (2001). "An experimental study of heated surface jet in a wave environment." Int. J. Offshore Polar Eng., Vol. 11, pp. 396-403.

27.

Paik, J., Eghbalzadeh, A. and Sotiropoulos, F. (2009). "Three-dimensional unsteady RANS modeling of discontinuous gravity currents in rectangular domains." J. Hydr. Eng., Vol. 135, No. 6, pp. 505-521.

28.

Patterson, M. D., Simpson, J. E., Dalziel, S. B. and Nikiforakis, N. (2005). "Numerical modelling of two-dimensional and axisymmetric gravity currents." Int. J. Numer. Meth. Fluids, Vol. 47, pp. 1221-1227.

29.

Peters, F., Gregg, M. C. and Toole, J. M. (1988). "On the parameterization of equatorial turbulence." J. Geophys. Res., Vol. 93, pp. 1199-1218.

30.

Riley, J. P. and Skirrow, G. (1965). "Chemical oceanography." Vol. 3, Academic Press.

31.

Sakakiyama, T. and Kajima, R. (1992). "Numerical simulation of nonlinear wave interacting with permeable breakwater." Proc. 23rd Int. Conf. on Coastal Eng., ASCE, Venice, pp. 1517-1530.

32.

Sato, T., Tonoki, K., Yoshikawa, T. and Tsuchiya, Y. (2006). "Numerical and hydraulic simulations of the effect of density current generator in a semi-enclosed tidal bay." Coastal Eng., Vol. 53, pp. 49-64.

33.

Shanack, S. (1960). "A theoretical current density ansatz for the quiet day solar semi-diurnal tidal mode of oscillation of the ionosphere." J. Atmos. and Terre. Phys., Vol. 17, pp. 337-343.

34.

Simpson, J. E. (1969). "A comparison between laboratory and atmospheric density currents." Quart. J. Roy. Meteor. Soc., Vol. 95, pp. 758-765.

35.

Smagorinsky, J. (1963). "General circulation experiments with the primitive equation." Mon. Weath. Rev., Vol. 91, No. 3, pp. 99-164.

36.

Thomas, L. P., Marino, B. M. and Linden, P. F. (1998). "Gravity currents over porous substrates." J. Fluid Mech., Vol. 366, pp. 239-258.

37.

Thomas, L. P., Marino, M. B. and Linden, P. F. (2004). "Lock-release inertial gravity currents over a thick porous layer." J. Fluid Mech., Vol. 503, pp. 299-319.

38.

Wakimoto, R. M. (1982). "The life cycle of thunderstorm gust fronts as viewed with doppler radar and rawinsonde data." Mon. Wea. Rev., Vol. 110, pp. 1060-1082.

39.

White, B. L. and Helfrich, K. R. (2008). "Gravity currents and internal waves in a stratified fluid." J. Fluid Mech., Vol. 616, pp. 327-356.

40.

Yoon, J. S., Kim, M. K., Han, D. J. and Kim, G. Y. (2008). "A study on the numerical model of current of strafication considering the topographic heat accumulation effect in the coastal area." Journal of ocean engineering and technology, the Korean Society of Ocean Engineers, Vol. 22, No. 5, pp. 61-68 (in Korean).