Numerical simulation of solitary and randomwave propagation through vegetation based on VOFmethod
doi: 10.1007/s13131-013-0330-4
Numerical simulation of solitary and randomwave propagation through vegetation based on VOFmethod
-
摘要: A vertical two-dimensional numerical model has been applied to solving the Reynolds Averaged Navier- Stokes (RANS) equations in the simulation of current and wave propagation through vegetated and nonvegetated waters. The k-ε model is used for turbulence closure of RANS equations. The effect of vegetation is simulated by adding the drag force of vegetation in the flow momentum equations and turbulence model. To solve the modified N-S equations, the finite difference method is used with the staggered grid system to solver equations. The Youngs’ fractional volume of fluid (VOF) is applied tracking the free surface with second-order accuracy. The model has been tested by simulating dam break wave, pure current with vegetation, solitary wave runup on vegetated and non-vegetated channel, regular and random waves over a vegetated field. Themodel reasonably well reproduces these experimental observations, themodeling approach presented herein should be useful in simulating nearshore processes in coastal domains with vegetation effects.
-
关键词:
- VOFmethod /
- vegetation /
- solitary /
- regularandrandomwaves /
- waveheightattenuation /
- k-εmodel
Abstract: A vertical two-dimensional numerical model has been applied to solving the Reynolds Averaged Navier- Stokes (RANS) equations in the simulation of current and wave propagation through vegetated and nonvegetated waters. The k-ε model is used for turbulence closure of RANS equations. The effect of vegetation is simulated by adding the drag force of vegetation in the flow momentum equations and turbulence model. To solve the modified N-S equations, the finite difference method is used with the staggered grid system to solver equations. The Youngs’ fractional volume of fluid (VOF) is applied tracking the free surface with second-order accuracy. The model has been tested by simulating dam break wave, pure current with vegetation, solitary wave runup on vegetated and non-vegetated channel, regular and random waves over a vegetated field. Themodel reasonably well reproduces these experimental observations, themodeling approach presented herein should be useful in simulating nearshore processes in coastal domains with vegetation effects.-
Key words:
- VOFmethod /
- vegetation /
- solitary /
- regular and randomwaves /
- wave height attenuation /
- k-ε model
-
Asano T, Deguchi H, Kobayashi N. 1993. Interaction between water waves and vegetation. In: Edge B L, ed. Proceedings of the Twenty-Third Coastal Engineering Conference. New York: Am Soc of Civil Eng, 2710-2723 Augustin L N, Irish J L, Lynett P. 2009. Laboratory and numerical studies of wave damping by emergent and near-emergent wetland vegetation. Coastal Engineering, 56(3): 332-340 Cai Shuqun, Long Xiaomin, Gan Zijun. 2002. A numerical study of the generation and propagation of internal solitary waves in the Luzon Strait. Oceanologica Acta, 25: 51-60 Chen Jie, Jiang Changbo,Hu Shixiong, et al. 2010. Numerical study on the characteristics of flow field and wave propagation near submerged breakwater on slope. Acta Oceanologica Sinica, 29(1): 88-99 Dubi A, Torum A. 1997. Wave energy dissipation in kelp vegetation. In: Edge B L, ed. Proceedings of the Twenty-Fifth Coastal EngineeringConference. New York: AmSoc of Civil Eng, 2626-2639 Hieu P D, Katsutoshi T, Ca V T. 2004. Numerical simulation of breaking waves using a two-phase flowmodel. Applied Mathematical Modelling, 28: 983-1005 Hirt C W, Nichols B D. 1981. Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of Computational Physics, 39: 201-225 Huang W R, Xiao H. 2009. Numerical modeling of dynamic wave force acting on Escambia Bay Bridge Deck during Hurricane Ivan. Journal ofWaterway, Port, Coastal, andOcean Engineering, 135(4): 164-175 Iwata K, Kawasaki K, Kim D. 1996. Breaking limit, breaking and post breaking wave deformation due to submerged structures. Proc 25 Intr Conf Coastal Engineering Conference. Orlando, Florida: AmSoc of Civil Eng, 2338-2351 Kawasaki K J. 1999. Numerical simulation of breaking and postbreakingwave deformation process around a submerged breakwater. Coastal Engineering, 41: 201-223 Ketabdari M J, Nobari M R H, Larmaei M M. 2008. Simulation of waves group propagation and breaking in coastal zone using a Navier Stokes solver with an improved VOF free surface treatment. Applied Ocean Research, 30: 130-143 Kothe D B, Mjolsness R C. 1992. Ripple: a new model for incompressible flows with free surfaces. AIAA Journal, 30(11): 2694-2700 Li C W, Yan K. 2007. Numerical investigation of wave-currentvegetation interaction. Journal of Hydraulic Engineering, 133(7): 794-803 Li C W, ZhangML. 2010. 3D modelling of hydrodynamics and mixing in a vegetation field under waves. Computer & Fluids, 39(4): 604-614 Lin P, Liu P L F. 1998. A numerical study of breaking waves in the surf zone. Journal of Fluid Mechanics, 359: 239-264 Lopez F, Garcia M. 1997. Open channel flow through simulated vegetation: turbulence modeling and sediment transport. Wetlands Res Program Tech Rep No. WRP-CP 10, Waterw Exp Stn, Vicksburg, Miss Lovas S M, Torum A. 2001. Effect of the kelp Laminaria hyperborean upon sand dune erosion and water particle velocities. Coastal Engineering, 44: 37-63 Mendez F J, Losada I J. 2004. An empirical model to estimate the propagation of random breaking and nonbreaking waves over vegetation fields. Coastal Engineering, 53: 103-118 M?ller I, Spencer T, French J R. 1996. Wind wave attenuation over salt marsh surfaces: preliminary results from Norfolk England. Journal of Coastal Research, 12(4): 1009-1016 Orlanski I. 1976. Simple boundary-condition for unbounded hyperbolic flows. Journal of Computational Physics, 21(3): 251-269 Ren B, Wang Y X. 2004. Numerical simulation of random wave slamming on structures in the splash zone. Ocean Engineering, 31(5-6): 547-560 Rudman M. 1997. Volume-trackingmethods for interfacial flow calculations. International Journal for Numerical Methods in Fluids, 24: 671-691 Synolakis C E. 1987. The runup of solitary waves. Journal of Fluid Mechanics, 185: 523-545 Troch P, Rouck J D. 1999. An active wave generating-absorbing boundary condition for VOF type numerical model. Coastal Engineering, 38: 223-247 Turker U, Yagci O, Kabdasl M S. 2006. Analysis of coastal damage of a beach profile under the protection of emergent vegetation. Ocean Engineering, 33: 810-828 Wu C H, YuanH L, Young C C. 2007. Non-hydrostatic modeling of vegetation effects on wave and flow motions. Estuarine and Coastal Modeling Congress. Newport, Rhode Island, United States: Am Soc of Civil Eng, 304-321 Xu Z H, Yin B S, Hou Y J. 2011. Response of internal solitary waves to tropical storm Washi in the northwestern South China Sea. Annales Geophysicae, 29: 2181-2187 Youngs D L. 1982 Time-dependent multi material flow with large fluid distortion. In: Morton K, Baines M, eds. Numerical Methods for Fluid Dynamics. New York: Academic Press, 273-285
点击查看大图
计量
- 文章访问数: 1256
- HTML全文浏览量: 41
- PDF下载量: 2373
- 被引次数: 0