Numerical simulation of solitary and random wave propagation through vegetation based on VOF method

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Numerical simulation of solitary and random wave propagation through vegetation based on VOF method ZHANG Mingliang1∗ , HAO Zining1 , ZHANG Yunpeng1 , WU Weiming2 1 2

School of Ocean and Environment Engineering, Dalian Ocean University, Dalian 116023, China National Center for Computational Hydroscience and Engineering, University of Mississippi, University, MS 38677, USA

Received 9 June 2012; accepted 14 November 2012 ©The Chinese Society of Oceanography and Springer-Verlag Berlin Heidelberg 2013

Abstract A vertical two-dimensional numerical model has been applied to solving the Reynolds Averaged NavierStokes (RANS) equations in the simulation of current and wave propagation through vegetated and nonvegetated waters. The k- 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. The model reasonably well reproduces these experimental observations, the modeling approach presented herein should be useful in simulating nearshore processes in coastal domains with vegetation effects. Key words: VOF method, vegetation, solitary, regular and random waves, wave height attenuation, k- model Citation: Zhang Mingliang, Hao Zining, Zhang Yunpeng, Wu Weiming. 2013. Numerical simulation of solitary and random wave propagation through vegetation based on VOF method. Acta Oceanologica Sinica, 32(7): 38–46, doi: 10.1007/s13131-013-0330-4

1 Introduction Vegetation plays a key role in the sustainable development of the aquatic environment. Vegetation is no longer regarded merely as an obstruction to the movement of water, but rather as a means of providing stabilization of banks, habitat and food for animals, as well as pleasing landscapes for recreational use. Owing to the favorable impacts on the environment, riparian/littoral vegetation zones (or wetlands) have been constructed for the purpose of river restoration and ecosystem management. Until recently, shoreline protection typically involved constructing hard structures such as jetties and breakwaters to dissipate and reflect wave energy. These methods disrupt regional and local sediment transport and alter nearshore hydrodynamics and circulation patterns. The latest trends in the coastal engineering are focusing on more non-intrusive forms of shore protection such as vegetation. While increasing efforts have been devoted to the use of vegetation in a coastal area, our understanding of the underlying wave-flow-vegetation interactions is still very limited. Over the past two decades, many numerical models have been develo