DOI QR코드

DOI QR Code

Numerical Simulation of Flow Characteristics behind a Circular Patch of Vegetation using a Two-Dimensional Numerical Model

2차원 수치모형을 이용한 원형군락 하류의 흐름특성 수치모의

  • Kim, Hyung Suk (Hydro Science and Engineering Research Institute, Korea Institute of Civil Engineering and Building Technology) ;
  • Park, Moonhyeong (Hydro Science and Engineering Research Institute, Korea Institute of Civil Engineering and Building Technology)
  • 김형석 (한국건설기술연구원 수자원하천연구소) ;
  • 박문형 (한국건설기술연구원 수자원하천연구소)
  • Received : 2015.07.28
  • Accepted : 2015.09.14
  • Published : 2015.11.30

Abstract

This paper presents numerical simulations of flow around a circular patch of vegetation using a depth-averaged two-dimensional numerical model which is capable of simulating flow structure in vegetated open channel. In order to account for vegetation effect, drag force terms are included in governing equations. Numerical simulations are conducted with various solid volume fractions (SVF). Flow passes through a circular patch and low velocity region, which is called wake region, is formed downstream of the patch. When SVF is larger than 0.08, a recirculation is observed. The location of the recirculation is moved further downstream as SVF decreases. Von-$K{\acute{a}}rm{\acute{a}}n$ vortex street is developed beyond the wake region due to interaction between two shear layers induced by a circular patch of vegetation. The vortex is developed as SVF is larger than 0.08, and the location of the vortex is consistent with the maximum of turbulence kinetic energy. The location of the peak of turbulence kinetic energy is moved further downstream as SVF decreases.

본 연구는 식재된 개수로에서 흐름특성을 모의할 수 있는 수심 적분된 2차원 수치모형을 이용하여 원형 식생역 주변의 흐름을 수치모의하였다. 식생영향을 고려하기 위해 식생항력 항을 지배방정식에 추가하였고 다양한 식생체적비율(SVF) 조건에 따른 수치모의를 수행하였다. 흐름이 원형 식생역을 통과하고 하류에 저유속 구간인 후류영역(wake region)을 형성하며 식생체적비율이 0.08 이상이면 재순환 영역이 발생하였다. 재순환 발생위치는 식생체적비율이 감소하면 식생역에서 더욱 하류로 이동하였다. 후류영역을 지나 원형 식생역 양 측면에서 유발된 전단층들의 상호작용에 의해 von $K{\acute{a}}rm{\acute{a}}n$ 와열이 발생하였다. 원형 식생역 하류에서 발생하는 와류는 식생체적비율이 0.08 이상이 되면 나타나기 시작하였고 발생위치는 난류운동에너지가 최대값을 보이는 위치와 일치하였다. 최대 난류운동에너지는 식생체적비율이 감소하면 줄어드는 것으로 나타났고 최대값의 발생위치는 점점 하류로 이동하였다.

Keywords

References

  1. Bosch, G., and Rodi, W. (1998). "Simulation of vortex shedding past a square cylinder with dierent turbulence models." International Journal for Numerical Methods in Fluids, Vol. 28, pp. 601-616. https://doi.org/10.1002/(SICI)1097-0363(19980930)28:4<601::AID-FLD732>3.0.CO;2-F
  2. Boussinesq, J. (1877). "Essai sur la theorie des eaux courantes." Memoires presentes par divers savants a l'Academie des Sciences, XXIII, 1, pp. 1-680.
  3. Chang, K.S., and Constantinescu, G. (2012). "LES of flow past a porous cylinder." River Flow 2012, Vol. 1, pp. 225-231.
  4. Chen, Z., Ortiz, A., Zong, L., and Nepf, H. (2012). "The wake structure behind a porous obstruction and its implications for deposition near a finite patch of emergent vegetation." Water Resources Research, Vol. 48, W09517.
  5. Choi, S., Choi, S.-U., and Kim, T. (2014). "Numerical simulation of mean flows and turbulent structures of partly-vegetated open channel flows using the nonlinear k-${\varepsilon}$ model." Journal of Korean Society of Civil Engineers, Vol. 34, No. 3, pp. 813-820 (in Korean). https://doi.org/10.12652/Ksce.2014.34.3.0813
  6. Choi, S.-U., and Kang, H. (2006). "Numerical investigations of mean flow and turbulence structures of partly vegetated open channel flows using the Reynolds stress model." Journal of Hydraulic Research, Vol. 44, No. 2, pp. 203-217. https://doi.org/10.1080/00221686.2006.9521676
  7. Cotton, J., Wharton, G., Bass, J., Heppell, C., and Wotton, R. (2006). "The effects of seasonal changes to in-stream vegetation cover on patterns of flow and accumulation of sediment." Geomorphology, Vol. 77, pp. 210-334.
  8. Dunn, C., Lopez, F., and Garcia, M. (1996). "Mean flow and turbulence in a laboratory channel with simulated vegetation." Hydraulic engineering Series Rep. 1, Univ. Illinois at Urbana-Champaign.
  9. Fletcher, C.A.J. (1991). "Computaional techniques for fluid dynamics." Vol. II, Springer-Verlag, Berlin, Germany.
  10. Fukuoka, S., Watanabe, A., Takatsugu, W., and Sakamoto, H. (2001). "Mixing structure and flow development accompaning the change in the density of vegetation along a compound main channel banks." Annual Journal of Japan Society of Civil Engineers, Vol. 45, pp. 859-864 (in Japanese).
  11. Kang, H. (2013). "Flow characteristics and morphological changes in open-channel flows with alternate vegetation zones." Journal of Korean Society of Civil Engineers, Vol. 17, No. 5, pp. 1157-1165.
  12. Kang, H., and Choi, S.-U. (2007). "Numerical investigations of streamwise vortical structures om fully vegetated open channel flows." Journal of Korean Society of Civil Engineers, Vol. 27, No. 3B, pp. 289-299 (in Korean).
  13. Kim, H.S., Kimura, I., and Shimizu, Y. (2015). "Bed morphological changes around a finite patch of vegetation." Earth Surface processes and Landforms, Vol. 40, No. 3, pp. 375-388. https://doi.org/10.1002/esp.3639
  14. Kwon, K., and Choi, S.-U. (2000). "Analysis of vegetated open-channel flows using the k-${\varepsilon}$ turbulence model." Journal of Korean Society of Civil Engineers, Vol. 20, No. 1B, pp. 11-21 (in Korean).
  15. Launder, B.E., and Spalding, D.B. (1974). "The numerical computation of turbulent flow." Computer Methods in Applied Mechanics and Engineering, Vol. 3, pp. 269-289. https://doi.org/10.1016/0045-7825(74)90029-2
  16. Lopez, F., and Garcia, M. (1997). "Open channel flow through simulated vegetation: turbulence modeling and sediment transport." Wetland Research Program Technical Report WRP-CP-10, Waterways Experiment Station, Vicksburg, MS.
  17. Lyn, D.A., Einav, W., Rodi, W., and Park, J-H. (1995). "A laser-doppler velocimetry study of ensembleaveraged characteristics of the turbulent near wake of a square cylinder." Journal of Fluid Mechanics, Vol. 304, pp. 285-319. https://doi.org/10.1017/S0022112095004435
  18. Moore, K.A. (2004). "Influence of seagrasses on water quality in shallow regions of the lower Chesapeake bay." Journal of Coastal Research, Vol. 20, pp. 162-178.
  19. Nepf, H. (1999). "Drag, turbulence, and diffusion in flow through emergent vegetation." Water Resources Research, Vol. 35, No. 2, pp. 479-489. https://doi.org/10.1029/1998WR900069
  20. Nepf, H., and Vivoni, E.R. (2000). "Flow structure in depth-limited vegetated flow." Journal of Geophysical Research, Vol. 105, No. 28, pp. 547-557.
  21. Nicolle, A., and Eames, I. (2011). "Numerical study of flow through and around a circular array of cylinders." Journal of Fluid Mechanics, Vol. 679, pp. 1-31. https://doi.org/10.1017/jfm.2011.77
  22. Rodi, W. (1993). Turbulence modeling and their application in hydraulics. Monograph, IAHR, Delft, The Netherlands.
  23. Rominger, J., and Nepf, H. (2011). "Flow adjustment and interiorflow associated with a rectangular porous obstruction." Journal of Fluid Mechanics, Vol. 679, pp. 1-31. https://doi.org/10.1017/jfm.2011.77
  24. Schultz, M., Kozerski, H.-P., Pluntke, T., and Rinke, K. (2003). "The influence of macrophytes on sedimentation and nutrient retention in the lower river spree." Water Resources Research, Vol. 37, pp. 569-578. https://doi.org/10.1016/S0043-1354(02)00276-2
  25. Stone, B.M., and Shen, H.T. (2002). "Hydraulic resistance of flow in channels with cylindrical roughness." Journal ofHydraulic Engineering, Vol. 128, No. 5, pp. 500-506. https://doi.org/10.1061/(ASCE)0733-9429(2002)128:5(500)
  26. Takemura, T., and Tanaka, N. (2007). "Flow structures and drag characteristics of a colony-type emergent roughness model mounted on a flat plate in uniform flow." Fluid Dynamics Research, Vol. 39, pp. 694-710. https://doi.org/10.1016/j.fluiddyn.2007.06.001
  27. Tal, M., and Paola, C. (2007). "Dynamic single-thread channels maintained by the interactions flow and vegetation." Geology, Vol. 35. No. 4, pp. 347-350.
  28. Tanino, Y., and Nepf, H.M. (2008). "Laboratory investigation of mean drag in a random array of rigid, emergent cylinders." Journal of Hydraulic Engineering, Vol. 134, No. 1, pp. 34-41. https://doi.org/10.1061/(ASCE)0733-9429(2008)134:1(34)
  29. White, B., and Nepf, H. (2007). "A vortex-based model of velocity and shear stress in a partially vegetated shallow channel." Water Resources Research, Vol. 44,W01412.
  30. Williamson, C.H.K. (1996). "Vortex dynamics in the cylinder wake." Annual Review of Fluid Mechanics, Vol. 28, pp. 477-539. https://doi.org/10.1146/annurev.fl.28.010196.002401
  31. Wu, W., Shields, F.D. Jr., Bennett, S., and Wang, S S Y. (2005). "A depth-averaged two-dimensional model for flow, sediment transport, and bed topography in curved channels with riparian vegetation." Water Resources Research, Vol. 41, W03015.
  32. Zong, L., and Nepf, H. (2010). "Flow and deposition in and around a finite patch of vegetation." Geomorphology, Vol. 116, pp. 363-372. https://doi.org/10.1016/j.geomorph.2009.11.020
  33. Zong, L., and Nepf, H. (2011). "Spatial distribution of deposition within a patch of vegetation." Water Resources Research, Vol. 47, W03516.
  34. Zong, L., and Nepf, H. (2012). "Vortex development behind a finite porous obstruction in a channel." Journal of Fluid Mechanics, Vol. 691, pp. 368-391. https://doi.org/10.1017/jfm.2011.479