Abstract
Numerical simulation of dam-break wave, as an imitation of tsunami hydraulic bore, with a hump of different slopes is performed in this paper using an in-house code, named a Constrained Interpolation Profile (CIP)-based model. The model is built on a Cartesian grid system with the Navier Stokes equations using a CIP method for the flow solver, and employs an immersed boundary method (IBM) for the treatment of solid body boundary. A more accurate interface capturing scheme, the Tangent of hyperbola for interface capturing/Slope weighting (THINC/SW) scheme, is adopted as the interface capturing method. Then, the CIP-based model is applied to simulate the dam break flow problem in a bumpy channel. Considerable attention is paid to the spilling type reflected bore, the following spilling type wave breaking, free surface profiles and water level variations over time. Computations are compared with available experimental data and other numerical results quantitatively and qualitatively. Further investigation is conducted to analyze the influence of variable slopes on the flow features of the tsunami-like bore.
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Al-Faesly, T., Palermo, P., Nistor, I. and Cornett, A., 2012. Experimental modeling of extreme hydrodynamic forces on structural models, International Journal of Protective Structures, 3(4), 477–505.
Biscarini, C., Francesco, S.D. and Manciola, P., 2010. CFD modelling approach for dam break flow studies, Hydrology and Earth System Sciences, 14(4), 705–718.
Cao, F.F. and Zhao, X.Z., 2015. Nonlinear dynamic behaviors of a floating structure in focused waves, China Ocean Engineering, 29(6), 807–820.
Chanson, H., 2006. Tsunami surges on dry coastal plains: Application of dam break wave equations, Coastal Engineering Journal, 48(4), 355–370.
Crespo, A.J., Gómez-Gesteira, M. and Dalrymple, R.A., 2008. Modeling dam break behavior over a wet bed by a SPH technique, Journal of Waterway, Port, Coastal, and Ocean Engineering, 134(6), 313–320.
Hirt, C.W. and Nichols, B.D., 1981. Volume of fluid (VOF) method for the dynamics of free boundaries, Journal of Computational Physics, 39(1), 201–225.
Hirt, C.W., 1993. Volume-fraction techniques: Powerful tools for wind engineering, Journal of Wind Engineering and Industrial Aerodynamics, 46–47, 327–338.
Hu, C.H. and Kashiwagi, M., 2009. Two-dimensional numerical simulation and experiment on strongly nonlinear wave-body interactions, Journal of Marine Science and Technology, 14(2), 200–213.
Koshizuka, S. and Oka, Y., 1996. Moving-particle semi-implicit method for fragmentation of incompressible fluid, Nuclear Science and Engineering, 123(3), 421–434.
Lauber, G. and Hager, W.H., 1998a. Experiments to dambreak wave: Horizontal channel, Journal of Hydraulic Research, 36(3), 291–307.
Lauber, G. and Hager, W.H., 1998b. Experiments to dambreak wave: Slo** channel, Journal of Hydraulic Research, 36(5), 761–773.
Linton, D., Gupta, R., Cox, D., van de Lindt, J., Oshnack, M.E. and Clauson, M., 2013. Evaluation of tsunami loads on wood-frame walls at full scale, Journal of Structural Engineering, 139(8), 1318–1325.
Liu, A.M., **ong, A.K. and Liu, X.Y., 2013. Numerical simulations of dam break flow on complicated terrain using VOF method, Proceedings of 2013 International Conference on Mechanical and Automation Engineering (MAEE), Jiujiang, pp. 229–232.
Manawasekara, C.D., 2013. Tsunami Impact on A Coastal Building and Effect of Spatial Configuration of the Building on Acting Tsunami Force, Ph. D. Thesis, Nagoya University.
Marsooli, R. and Wu, W.M., 2014. 3-D finite-volume model of dambreak flow over uneven beds based on VOF method, Advances in Water Resources, 70, 104–117.
Monaghan, J.J., 2012. Smoothed particle hydrodynamics and its diverse applications, Annual Review of Fluid Mechanics, 44(1), 323–346.
Nordin, J. and Charleson, A.W., 2009. Tsunami responsive architecture: Sustainability of the houses and inhabited structures along the coast of Malaysia, Proceeding of 4th Annual International Workshop and Expo on the Sumatra Tsunami Disaster and Recovery, Banda Aceh, pp. 20–24.
Nouri, Y., Nistor, I., Palermo, D. and Cornett, A., 2010. Experimental investigation of tsunami impact on free standing structures, Coastal Engineering Journal, 52(1), 43–70.
Ozmen-Cagatay, H., Kocaman, S. and Guzel, H., 2014. Investigation of dam-break flood waves in a dry channel with a hump, Journal of Hydro-Environment Research, 8(3), 304–315.
Shakibaeinia, A. and **, Y.C., 2011. A mesh-free particle model for simulation of mobile-bed dam break, Advances in Water Resources, 34(6), 794–807.
Takewaki, H., Nishiguchi, A. and Yabe, T., 1985. Cubic interpolated pseudo-particle method (CIP) for solving hyperbolic-type equations, Journal of Computational Physics, 61(2), 261–268.
Tang, Z.Y., Zhang, Y.L. and Wan, D.C., 2016. Numerical simulation of 3-D free surface flows by overlap** MPS, Journal of Hydrodynamics, Ser. B, 28(2), 306–312.
Wei, C.M., Kang, C.T. and Lau, T.L., 2014. An experimental study on wave forces of tsunami on simplified onshore buildings at Penang Island. Malaysia, Journal of Civil Engineering Research, 4(3A), 164–172.
**ao, F., Honma, Y. and Kono, T., 2005. A simple algebraic interface capturing scheme using hyperbolic tangent function, International Journal for Numerical Methods in Fluids, 48(9), 1023–1040.
**ao, F., Ii, S. and Chen, C.G., 2011. Revisit to the THINC scheme: A simple algebraic VOF algorithm, Journal of Computational Physics, 230(19), 7086–7092.
Yeh, H., 2007. Design tsunami forces for onshore structures, Journal of Disaster Research, 2(6), 531–536.
Yokoi, K., 2007. Efficient implementation of THINC scheme: A simple and practical smoothed VOF algorithm, Journal of Computational Physics, 226(2), 1985–2002.
Zalesak, S.T., 1979. Fully multidimensional flux-corrected transport algorithms for fluids, Journal of Computational Physics, 31(3), 335–362.
Zhao, X.Z. and Hu, C.H., 2012. Numerical and experimental study on a 2-D floating body under extreme wave conditions, Applied Ocean Research, 35, 1–13.
Zhao, X.Z., Ye, Z.T., Fu, Y.N. and Cao, F.F., 2014. A CIP-based numerical simulation of freak wave impact on a floating body, Ocean Engineering, 87, 50–63.
Zheng, X., Ma, Q.W. and Duan, W.Y., 2014. Comparative study of different SPH schemes on simulating violent water wave impact flows, China Ocean Engineering, 28(6), 791–806.
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Foundation item: This work was financially supported by the National Natural Science Foundation of China (Grant Nos. 51479175 and 51679212), and Zhejiang Provincial Natural Science Foundation of China (Grant No. LR16E090002).
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Cheng, D., Zhao, Xz., Zhang, Dk. et al. Numerical study of dam-break induced tsunami-like bore with a hump of different slopes. China Ocean Eng 31, 683–692 (2017). https://doi.org/10.1007/s13344-017-0078-2
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DOI: https://doi.org/10.1007/s13344-017-0078-2