Large eddy simulation of vertical turbulent jets under JONSWAP waves. (English) Zbl 1270.76029
Summary: The effect of random waves on vertical plane turbulent jets is studied numerically and the mechanism behind the interaction of the jet and waves is analyzed. The large eddy simulation method is used and the \(\sigma\)-coordinate system is adopted. Turbulence is modeled by a dynamic coherent eddy model. The \(\sigma\)-coordinate transformation is introduced to map the irregular physical domain with a wavy free surface and an uneven bottom onto a regular computational domain. The fractional step method is used to solve the filtered Navier-Stokes equations. Results presented include the distribution of velocity, the decay law of the mean velocity along the jet axis, self-similar characteristics and volume flux per unit width. In particular, the role of coherent structures on the momentum transfer along the jet centerline and the jet instantaneous characteristics in JONSWAP waves are a special focus of this research. The numerical results obtained are of great theoretical importance in understanding the behavior of turbulent jets in random wave environments.
MSC:
| 76F65 | Direct numerical and large eddy simulation of turbulence |
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
Keywords:
large eddy simulation; dynamic coherent eddy model; \(\sigma\)-coordinate; turbulent jet; JONSWAP waveReferences:
| [1] | Lu, J., Wang, L.L.: Numerical study of large eddy structures- separated flows Passing sills. In: Zhang, C.H., Tang, H.W. eds. 16th Congress of Asia and Pacific Division of International Association of Hydraulic Engineering and Research and 3th IAHR International Symposium of Hydraulic Structures. 2008, Nanjing, Tsinghua University Press, Beijing, 1795–1799 (2008) |
| [2] | Smagorinsky, J.: General circulation experiments with the primitive equations. I. the basic experiment. Month. Weather Rev. 91, 99–152 (1963) · doi:10.1175/1520-0493(1963)091<0099:GCEWTP>2.3.CO;2 |
| [3] | Germano, M.: A statistical formulation of the dynamic model. Phys. Fluids 8(2), 565–570 (1996) · Zbl 1023.76559 · doi:10.1063/1.868841 |
| [4] | Lilly, D.K.: A proposed modification of the Germano sub-grid scale closure method. Phys. Fluids A 4, 633–635 (1992) · doi:10.1063/1.858280 |
| [5] | Breuer, M., Rodi, W.: Large eddy simulation of turbulent flow throught a straight squareduct and a 180 bent. In: Voke, P.R., Kleiser, R., Chollet, J.P. eds. Fluid Mech. and Its Appli. 1994, UK, Netherlands, Kluwer. 273–285 (1994) |
| [6] | Meneveau, C., Lund, T.S., Cabot, W.H.: A lagrangian dynamic sub-grid scale model of turbulence. J. Fluid Mech. 319, 353–385 (1996) · Zbl 0882.76029 · doi:10.1017/S0022112096007379 |
| [7] | Lu, J., Tang, H.W., Wang, L.L., et al.: A novel dynamic coherent eddy model and application to LES of turbulent jet with free surface. Science in China, Series G 80(9), 110–128 (2010) |
| [8] | Huai, W.X., Sheng, Y.P., Komatsu, T.: Hybrid finite analytic solutions of shallow water circulation. Applied Mathematics and Mechanics, English edition, 24, 1081–1088 (2003) · Zbl 1143.76399 · doi:10.1007/BF02437640 |
| [9] | Guan, H., Wu, C.J.: Large eddy simulation and vortex structures of turbulent jets in crossflow. Science in China, Series G 50(1), 118–132 (2007) · Zbl 1359.76157 · doi:10.1007/s11433-007-0005-2 |
| [10] | Yue, Q.H.: Using large eddy simulation under regular waves to simulate vertical buoyant jets. [MS Thesis], Hohai University, Nanjing (2008) (in Chinese) |
| [11] | Chen, Y.P.: Three dimensional modeling of vertical jets in random waves. [PhD Thesis], The Hong Kong Polytechnic University, Hong Kong, 2006 |
| [12] | Dai, H.C., Wang, L.L.: Numerical study of submerged vertical plane jets under progressive water surface waves. China Ocean Engineering 19(3), 433–442 (2005) (in Chinese) |
| [13] | Kuang, J., Hsu, C.T.: Experiments on 2D submerged vertical jets with progressive surface water waves. In: Lee, J.H.W., Jayawardena, A.W., Wang Z.Y., eds. Proceedings of the 2nd International Symposium on Environmental Hydraulics, 1998, Hong Kong, Netherlands, A A Balkema Publishers, 55–60 (1998) |
| [14] | Chyan, J.M., Hwung, H.H.: On the interaction of turbulent jet with waves. Journal of Hydraulic Research 31(6), 791–810 (1993) · doi:10.1080/00221689309498819 |
| [15] | Saugaut, P.: Large Eddy Simulation for Incompressible Flows. 3rd edn. Springer Press. Berlin, 1–470 (2006) |
| [16] | Wang, L.L.: Using large eddy simulation in {\(\sigma\)}-coordinate system to simulate surface wave. China Ocean Engineering 18(3), 413–422 (2004) (in Chinese) |
| [17] | Koole, R., Swan, C.: Measurements of a 2-D non-buoyant jet in a wave environment. Ocean Engineering 24, 151–169 (1994) |
| [18] | Holthuijsen, L.H.: Waves in Oceanic and CoastalWaters. Cambridge University Press, Cambridge, 1–309 (2007) |
| [19] | Pope, S.B.: Turbulent Flow. Cambridge University, UK, 1–450 (2000) |
| [20] | Schlichting, H.: Boundary Layer Theory. 7th edn. McGraw-Hill, New York, 1–108 (1979) · Zbl 0434.76027 |
| [21] | List, H.B., Imberger, J.: Turbulent entrainment in buoyant jets. Journal of Hydraulics Division 99, 1467–1474 (1973) |
| [22] | Gutmark, E., Wygnanski, I.: The planar turbulent jet. J. Fluid Mech. 73(3), 465–495 |
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