This paper reports a quasi 3D simulation in a curved river reach of The Yangtze River near The Huangshigang City, aiming to develop a numerical tool for modeling turbulent flows and pollutant transport in complex natural waters. The depth-averaged two-equation turbulence model, together with and models, were used to close quasi 3D hydrodynamic fundamental governing equations. The discretized equations were solved by advanced multi-grid iterative method under coarse and fine two-levels’ grids. The processes of plume development, caused by the side-discharge from a tributary, also have been investigated numerically. The used three turbulence models are suitable for modeling strong mixing turbulence. The model with higher order of magnitude of transported variable provides a possibility to increase the computational precision. Based on the developed hydrodynamic model, a CFD software, namely Q3drm1.0, was preliminarily developed. This tool focuses on the refined simulations of the steady and unsteady problems of flow and transports with the strong ability to treat different types of discharges.
M. Choi and H. Takashi, "A numerical simulation of lake currents and characteristics of salinity changes in the freshening process," J. Japan Society of Hydrology and Water Resources, (In Japanese), vol. 13, pp. 439-452, 2000.
M. Lunis, V. Mamchuk, V. Movchan, L. Romanyuk, and E. Shkvar, "Algebraic models of turbulent viscosity and heat transfer in analysis of near-wall turbulent flows," International J. Fluid Mechanics Research. Available: http://dx.doi.org/doi/10.1615/InterJFluidMechRes.v31.i3.60, vol. 31, pp. 60-74, 2004.
J. Vasquez, "Two dimensional finite element River morphology model," Ph. D. Dissertation, University of British Columbia, 2005.
S. Kwan, "A two dimensional hydrodynamic river morphology and gravel transport model," Master (MASc) Degree Thesis, University of British Columbia, 2009.
E. Viparelli, O. Sequeiros, A. Cantelli, P. Wilcock, and G. Parker, "River morphodynamics with creation/consumption of grain size stratigraphy 2: Numerical model," Journal of Hydraulic Research. Available: http://dx.doi.org/doi/doi:10.1080/00221686.2010.526759, vol. 48, pp. 727-741, 2010.
W. Rodi, R. Pavlovic, and S. Srivatsa, Prediction of flow pollutant spreading in rivers. In: Transport models for inland and coastal waters: Proceedings of the symposium on predictive ability. Berkeley: University of California Academic Press, 1980.
R. Chapma and C. Kuo, "A numerical simulation of two-dimensional separated flow in a symmetric open-channel expansion using the depth-Integrated two equation (k-?) turbulence closure model. Rep. 8202," Virginia Polytechnic Inst. and State Univ., Blacksburg, VA1982.
Z. Mei, A. Roberts, and Z. Li, "Modeling the dynamics of turbulent floods," SIAM J. Applied Mathematics. Available: http://dx.doi.org/doi/10.1137/S0036139999358866, vol. 63, pp. 423-458, 2002.
H. Johnson, T. Karambas, I. Avgeris, B. Zanuttigh, D. Gonzalez-Marco, and I. Caceres, "Modelling of waves and currents around submerged breakwaters," Coastal Engineering. Available: http://dx.doi.org/doi/10.1016/j.coastaleng.2005.09.011, vol. 52, pp. 949-969, 2005.
L. Cea, L. Pena, J. Puertas, M. Vazquez-Cendon, and E. Pena, "Application of several depth-averaged turbulence models to simulate flow in vertical slot fishways," J. Hydraulic Engineering. Available: http://dx.doi.org/doi/10.1061/(ASCE)0733-9429(2007)133:2(160), vol. 133, pp. 160-172, 2007.
Z. Hua, L. Xing, and L. Gu, "Application of a modified quick scheme to depth-averaged ?–? turbulence model based on unstructured grids," J. Hydrodynamics Ser. B., pp. 514-523, 2008.
I. Kimura, W. Uijttewaal, T. Hosoda, and M. Ali, "URANS computations of shallow grid turbulence," J. Hydraulic Engineering. Available: http://dx.doi.org/doi/10.1061/(ASCE)0733-9429(2009)135:2(118), vol. 135, pp. 118-131, 2009.
J. Lee, H. Chan, C. Huang, Y. Wang, and W. Huang, "A depth-averaged two-dimensional model for flow around permeable pile groins," International J. the Physical Sciences. Available: http://dx.doi.org/doi/10.5897/IJPS11.078, vol. 6, pp. 1379-1387, 2011.
L. Yu, Quasi 3D modeling flow and contaminant transport in shallow waters. Germany: Lap Lambert Academic Publishing, 2013.
J. Ferziger and M. Peric, Computational methods for fluid dynamics, 3rd ed. Berlin: Springer, 2002.
P. Saffman, A model for inhomogeneous turbulent flow vol. A317. London: In: Proc. Roy. Soc., 1970.
D. Wilcox, Turbulence modeling for CFD. La Canada: DCW Industries, Inc., 1998.
A. Riasi, A. Nourbakhsh, and M. Raisee, "Unsteady turbulent pipe flow due to water hammer using k–? turbulence model," J. of Hydraulic Research. Available: http://dx.doi.org/doi/10.1080/00221681003726247, vol. 47, pp. 429-437, 2009.
M. Kirkgoz, M. Akoz, and A. Oner, "Numerical modeling of flow over a chute spillway," J. Hydraulic Research, vol. 47, pp. 790-797, 2009.
L. Yu and J. Yu, "Numerical research on flow and thermal transport in cooling pool of electrical power station using three depth-averaged turbulence models," Water Science and Engineering. Available: http://dx.doi.org/doi/10.3882/j.issn.1674-2370.2009.03.001, vol. 2, pp. 1-12, 2009.
J. McGuirk and W. Rodi, A depth-averaged mathematical model for side discharges into open channel flow. SFB 80/T/88. Germany: Universität Karlsruhe, 1977.
L. Yu and S. Zhang, "A new depth-averaged two-equation (k-w) turbulent closure model," J. Hydrodynamics Series. B., vol. 1, pp. 47-54, 1989.
J. Ilegbusi and D. Spalding, Application of a new version of the K-W model of turbulence to a boundary layer with mass transfer. CFD/82/15. London: Imperial College, 1982.
L. Yu and A. Righetto, "Depth-averaged turbulence model and applications," Advances in Engineering Software. Available: http://dx.doi.org/doi/10.1016/S0965-9978(00)00100-9, vol. 32, pp. 375-394, 2001.