762
Views
21
CrossRef citations to date
0
Altmetric
Research paper

Numerical modelling of simultaneous overtopping and seepage flows with application to dike breaching

, , &
Pages 13-25 | Received 24 Feb 2017, Accepted 16 Feb 2018, Published online: 27 Apr 2018

References

  • Asai, K. (2009, August). Study on volume correction method for computation of free surface flow using density function method. Proceedings of the 33rd IAHR world congress. Vancouver: IAHR.
  • Bear, J. (1972). Dynamics of fluids in porous media. New York, NY: Dover Publications.
  • Castro-Orgaz, O., & Hager, W. H. (2013). Unsteady Boussinesq-type flow equations for gradually-eroded beds: application to dike breaches. Journal of Hydraulic Research, 51(2), 203–208. doi: 10.1080/00221686.2012.739579
  • Coleman, S. E., Andrews, D. P., & Webby, M. G. (2002). Overtopping breaching of noncohesive homogeneous embankments. Journal of Hydraulic Engineering, 128(9), 829–838. doi: 10.1061/(ASCE)0733-9429(2002)128:9(829)
  • Ebrahimi, S., Salmasi, F., & Abbaspour, A. (2013). Numerical study of hydraulic jump on rough beds stilling basins. Journal of Civil Engineering and Urbanism, 3(1), 19–24.
  • Faeh, R. (2007). Numerical modeling of breach erosion of river embankments. Journal of Hydraulic Engineering, 133(9), 1000–1009. doi: 10.1061/(ASCE)0733-9429(2007)133:9(1000)
  • Gotoh, H., Ikari, H., Tanioka, H., & Yamamoto, K. (2008). Numerical simulation of river-embankment erosion due to overflow by particle method. Proceedings of Hydraulic Engineering, 52, 979–984. doi: 10.2208/prohe.52.979
  • Hirt, C. W., & Nichols, B. D. (1981). Volume of Fluid (VOF) methods for the dynamics of free boundaries. Journal of Computational Physics, 39, 201–225. doi: 10.1016/0021-9991(81)90145-5
  • Hirt, C. W., Nicholas, B. D., & Romero, N. C. (1975). SOLA- A numerical solution algorithm for transient fluid flows. Los Alamos Scientific Laboratory report LA-5852.
  • Hur, D.-S., & Mizutani, N. (2003). Numerical estimation of the wave forces acting on a three-dimensional body on submerged breakwater. Coastal Engineering, 47, 329–345. doi: 10.1016/S0378-3839(02)00128-X
  • Iwagaki, Y. (1956). Fundamental study on critical tractive force. (I) Hydrodynamical study on critical tractive force. Transactions of the Japan Society of Civil Engineers, 1956(41), 1–21. doi: 10.2208/jscej1949.1956.41_1
  • Jaćimović, N., Hosoda, T., & Ivetić, M. (2008, December). Modeling of the embankment overflow and its application on the slope failure potential estimation. Proceedings of the 2nd international symposium on shallow flows, Hong Kong.
  • Kakinuma, T., & Shimizu, Y. (2014). Large-scale experiment and numerical modeling of a riverine levee breach. Journal of Hydraulic Engineering, 140, 04014039, 1–9. doi: 10.1061/(ASCE)HY.1943-7900.0000902
  • Kanai, A., & Miyata, H. (1996). Numerical simulation of a bubble flow by modified density function method. Journal of the Society of Naval Architects of Japan, 1996(179), 41–48. doi: 10.2534/jjasnaoe1968.1996.41
  • Kimura, I., & Hosoda, T. (2003). A non-linear k-ϵ model with realizability for prediction of flow around bluff bodies. International Journal for Numerical Methods in Fluids, 42, 813–837. doi: 10.1002/fld.540
  • Leonard, B. P. (1979). A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Computer Methods in Applied Mechanics and Engineering, 19, 59–98. doi: 10.1016/0045-7825(79)90034-3
  • Liu, X., & García, M. H. (2008). Three-dimensional numerical model with free water surface and mesh deformation for local sediment scour. Journal of Waterway, Port, Coastal, and Ocean Engineering, 134(4), 203–217. doi: 10.1061/(ASCE)0733-950X(2008)134:4(203)
  • Mizutani, H., Nakagawa, H., Yoden, T., Kawaike, K., & Zhang, H. (2013). Numerical modelling of river embankment failure due to overtopping flow considering infiltration effects. Journal of Hydraulic Research, 51(6), 681–695. doi: 10.1080/00221686.2013.812151
  • Nagata, N., Hosoda, T., & Muramoto, Y. (2000). Numerical analysis of river channel processes with bank erosion. Journal of Hydraulic Engineering, 126(4), 243–252. doi: 10.1061/(ASCE)0733-9429(2000)126:4(243)
  • Nagata, N., Hosoda, T., Nakato, T., & Muramoto, Y. (2005). Three-dimensional numerical model for flow and bed deformation around river hydraulic structures. Journal of Hydraulic Engineering, 131(12), 1074–1087. doi: 10.1061/(ASCE)0733-9429(2005)131:12(1074)
  • Nakagawa, H., Tsujimoto, T., & Murakami, S. (1986, April). Non-equilibrium bed load transport along side slope of an alluvial stream. Proceedings of the 3rd international symposium on river sedimentation, Mississippi.
  • Onda, S., Higo, Y., & Hosoda, T. (2017, August). Numerical simulation of dike deformation due to seepage flows. Proceedings of the 37th IAHR world congress. Kuala Lumpur: IAHR.
  • Pontillo, M., Schmocker, L., Greco, M., & Hager, W. H. (2010). 1D numerical evaluation of dike erosion due to overtopping. Journal of Hydraulic Research, 48(5), 573–582. doi: 10.1080/00221686.2010.507005
  • Puckett, E. G., Almgren, A. S., Bell, J. B., Marcus, D. L., & Rider, W. J. (1997). A high-order projection method for tracking fluid interfaces in variable density incompressible flows. Journal of Computational Physics, 130, 269–282. doi: 10.1006/jcph.1996.5590
  • Schmocker, L., Frank, P.-J., & Hager, W. H. (2014). Overtopping dike-breach: Effect of grain size distribution. Journal of Hydraulic Research, 52(4), 559–564. doi: 10.1080/00221686.2013.878403
  • Schmocker, L., & Hager, W. H. (2009). Modelling dike breaching due to overtopping. Journal of Hydraulic Research, 47(5), 585–597. doi: 10.3826/jhr.2009.3586
  • Schmocker, L., & Hager, W. H. (2012). Plane dike-breach due to overtopping: Effects of sediment, dike height and discharge. Journal of Hydraulic Research, 50(6), 576–586. doi: 10.1080/00221686.2012.713034
  • Shimada, T., Watanabe, Y., Yokoyama, H., & Tsuji, T. (2009, September). An experiment on overflow-induced cross-levee breach at Chiyoda Experimental Channel. Proceedings of the 6th IAHR symposium on river, coastal and estuarine morphodynamics. Santa Fe: CRC Press.
  • Volz, C., Rousselot, P., Vetsch, D., & Faeh, R. (2012). Numerical modelling of non-cohesive embankment breach with the dual-mesh approach. Journal of Hydraulic Research, 50(6), 587–598. doi: 10.1080/00221686.2012.732970
  • Yazdi, J., Sarkardeh, H., Azamathulla, H. Md., & Ghani, A. Ab. (2010). 3D simulation of flow around a single spur dike with free-surface flow. International Journal of River Basin Management, 8(1), 55–62. doi: 10.1080/15715121003715107
  • Zenno, H., Iwasaki, T., Shimizu, Y., & Kimura, I. (2011, June). Computations of real scale experiment on levee breach with a 2D shallow flow model. Proceedings of the 34th IAHR world congress. Brisbane: IAHR.
  • Zhang, H., Nakagawa, H., Kawaike, K., & Baba, Y. (2009). Experiment and simulation of turbulent flow in local scour around a spur dyke. International Journal of Sediment Research, 24(1), 33–45. doi: 10.1016/S1001-6279(09)60014-7

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.