Document Type : Research Paper

Authors

1 M.Sc. Student, Department of Civil Engineering, Faculty of Engineering, University of Birjand, Birjand, Iran

2 Assoc. Professor, Department of Civil Engineering, Faculty of Engineering, University of Birjand, Birjand, Iran

3 Assist. Professor, Department of Civil Engineering, Faculty of Engineering, University of Birjand, Birjand, Iran

4 Assoc. Professor, Department of Civil, Geological and Mining Engineering, Polytechnique Montréal, Montréal, Canada

Abstract

The interaction between the surface flood and the drainage system’s outflow is an important source of uncertainty in urban flood modeling. In the present study, the Weakly Compressible Smoothed Particle Hydrodynamics method was used to model the outflow from the drainage system, considering the effect of its interaction with the surface flood. To perform modeling, a new open boundary condition was defined. First, an experimental problem of dam-break propagation over a wet bed was modeled and the numerical results were compared with the experimental data. Investigations showed that the average error of the numerical model is about 2% and its maximum error is less than 4%. Then, to control the efficiency of the defined open boundary conditions, a problem of jet injection into the water tank was investigated. It was observed that the results of the numerical model are in good agreement with the experimental data. Finally, the problem of the inflow from the bottom and its interaction with the flow caused by the dam break was modeled and its results were interpreted and compared with a volume of the fluid numerical model. In general, the results showed that the developed numerical model has an acceptable accuracy in simulating complex flows.

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Main Subjects

Aristodemo, F., Marrone, S. and Federico, I.  (2015).  SPH modeling of plane jets into water bodies through an inflow/outflow algorithm. Ocean. Eng., 105, 160-175. DOI: 10.1016/j.oceaneng.2015.06.018.
Colagrossi, A. and Landrini, M.  (2003).  Numerical simulation of interfacial flows by smoothed particle hydrodynamics. J. Comput. Phys., 191(2), 448-475. DOI: 10.1016/S0021-9991(03)00324-3.
Domínguez, J. M., Fourtakas, G., Altomare, C., Canelas, R. B., Tafuni, A., García-Feal, O., Martínez-Estévez, I., Mokos, A., Vacondio, R., Crespo, A. J. C., Rogers, B. D., Stansby, P. K. and Gómez-Gesteira, M.  (2022).  DualSPHysics: from fluid dynamics to multiphysics problems. Comput. Part. Mech.,  9(5), 867-895. DOI: 10.1007/s40571-021-00404-2.
Espa, P. and Frattini, A. (2002)  Experimental study of turbulent, 2-D, vertical jets in shallow water. Proceedings of the 11th International Symposium on Applications of Laser Techniques, 36(6), 1-13.
Espa, P., Sibilla, S. and Gallati, M.  (2008).  SPH simulations of a vertical 2-D liquid jet introduced from the bottom of a free-surface rectangular tank. Adv. Appl. Fluid Mech., 3(2), 105-140.
Gomez-Gesteira, M., Rogers, B. D., Crespo, A. J. C., Dalrymple, R. A., Narayanaswamy, M. and Dominguez, J. M. (2012). SPHysics – development of a free-surface fluid solver – Part 1: Theory and formulations. Comput. Geosci., 48, 289-299. DOI: 10.1016/j.cageo.2012.02.029.
Huang, Y., Jin, X. and Ji, J. )2022(. Effects of barrier stiffness on debris flow dynamic impact—II: numerical simulation. Water, 14(2), 182. DOI: 10.3390/w14020182.
Jandaghian, M., Siaben, H. M. and Shakibaeinia, A. (2022). Stability and accuracy of the weakly compressible SPH with particle regularization techniques. Europ. J. Mech. B. Fluid., 94, 314-333. DOI: 10.1016/j.euromechflu.2022.03.007.
Kitsikoudis, V., Erpicum, S., Rubinato, M., Shucksmith, J. D., Archambeau, P., Pirotton, M. and Dewals, B.  (2021).  Exchange between drainage systems and surface flows during urban flooding: Quasi-steady and dynamic modelling in unsteady flow conditions. J. Hydrol., 602, 126628. DOI: 10.1016/j.jhydrol.2021.126628.
Kocaman, S. and Ozmen-Cagatay, H. (2015). Investigation of dam-break induced shock waves impact on a vertical wall. J. Hydrol., 525, 1-12. DOI: 10.1016/j.jhydrol.2015.03.040.
Liu, M. B. and Liu, G. R.  (2006).  Restoring particle consistency in smoothed particle hydrodynamics. Appl. Numer. Math., 56(1), 19-36. DOI: 10.1016/j.apnum.2005.02.012.
Luo, P., Luo, M., Li, F., Qi, X., Huo, A., Wang, Z., He, B., Takara, K., Nover, D. and Wang, Y.  (2022). Urban flood numerical simulation: Research, methods and future perspectives. Environ. Model. Softw., 156, 105478. DOI: 10.1016/j.envsoft.2022.105478.
Mahdizadeh, H., Stansby, P. K. and Rogers, B. D. (2011). On the approximation of local efflux/influx bed discharge in the shallow water equations based on a wave propagation algorithm. Int. J. Numer. Methods Fluids., 66(10), 1295-1314. DOI: 10.1002/fld.2314.
Martins, R., Kesserwani, G., Rubinato, M., Lee, S., Leandro, J., Djordjević, S. and Shucksmith, J. D. (2017). Validation of 2D shock capturing flood models around a surcharging manhole. Urban Water J., 14(9), 892-899. DOI: 10.1016/j.jcp.2013.03.011.
Moodi, S., Mahdizadeh, H. and Azhdari Moghaddam, M.  (2020).  Numerical investigation of flood flow in sewer network considering the effects of manhole. Iran. Water Res. J., 14(4), 67-76 [In Persian].
Purkayastha, S. and Afzal, M. S.  (2022).  Review of smooth particle hydrodynamics and its applications for environmental flows. J. Instit. Eng., Series A., 103(3), 921-941. DOI: 10.1007/s40030-022-00650-4.
Rubinato, M., Martins, R., Kesserwani, G., Leandro, J., Djordjević, S. and Shucksmith, J. (2017). Experimental calibration and validation of sewer/surface flow exchange equations in steady and unsteady flow conditions. J. Hydrol., 552, 421-432. DOI: 10.1016/j.jhydrol.2017.06.024.
Tafuni, A., Domínguez, J. M., Vacondio, R. and Crespo, A. J. C. (2018). A versatile algorithm for the treatment of open boundary conditions in smoothed particle hydrodynamics GPU models. Comput. Methods Appl. Mech. Eng., 342, 604-624. DOI: 10.1016/j.cma.2018.08.004.
Wang, D., Li, S., Sun, L., Zhang, Z. and Huang, P.  (2022).  Numerical study of wave dynamics over island reefs based on smoothed particle Hydrodynam. Method. Math. Probl. Eng., 2022, 9669925. DOI: 10.1155/2022/9669925.
 Xiong, J., Lu, C., Qu, W., Yang, Y. and Cheng, X. (2020). Assessment of RANS models in predicting mixing flow induced by split-type vanes in rod bundle. Nucl. Eng. Des., 363, 110615. DOI: 10.1016/j.nucengdes.2020.110615.