Abstract
In the current study, the treatment of air/water interface has been made on dam-break induced tsunami-like wave by the Coupled Level Set and Volume of Fluid (CLSVOF) three-dimensional modelling. The overall CLSVOF method adopts a Tangent of Hy-perbola for INterface Capturing (THINC) scheme with the Weighted Linear Interface Calculation (WLIC) and Level Set (LS) function for capturing interface and calculating normal vector, respectively. As far as THINC/WLIC scheme is concerned, since the convection problem of the VOF function can be solved well, the numerical diffusion can be avoided. The spatial terms in the LS equation were discretized by the Optimized Compact Reconstruction Weighted Essentially Non-Oscillatory (OCRWENO) scheme with fourth-order accuracy, which can avoid false oscillation of LS solution. By combining CLSVOF method with Immersed Boundary (IB) method, the simulation of dam-break induced tsunami-like wave impacting on a stationary breakwater can be carried out. Grid sensitivity, mass error and free-surface profile are first calculated for the tsunami-like wave problem to validate the proposed numerical algorithm, which shows excellent agreement between the numerical results and experimental data. Tsunami-like waves with varied tailgater levels are then investigated. Calculations of velocity magnitude, free-surface profile and wave elevation of the tsunami-like wave are conducted to investigate its dynamics and kinematics.
Similar content being viewed by others
References
Al-Faesly, T., Palermo, D., Nistor, I. and Cornett, A., 2012. Experimental modeling of extreme hydrodynamic forces on structural models, International Journal of Protective Structures, 3(4), 477–505.
Aniszewski, W., Ménard, T. and Marek, M., 2014. Volume of fluid (VOF) type advection methods in two-phase flow: A comparative study, Computers & Fluids, 97, 52–73.
Archer, P.J. and Bai, W., 2015. A new non-overlapping concept to improve the hybrid particle level set method in multi-phase fluid flows, Journal of Computational Physics, 282, 317–333.
Aureli, F., Maranzoni, A., Mignosa, P. and Ziveri, C., 2008. A weighted surface-depth gradient method for the numerical integration of the 2D shallow water equations with topography, Advances in Water Resources, 31(7), 962–974.
Balcázar, N., Lehmkuhl, O., Jofre, L., Rigola, J. and Oliva, A., 2016. A coupled volume-of-fluid/level-set method for simulation of two-phase flows on unstructured meshes, Computers & Fluids, 124, 12–29.
Cao, Z.Z., Sun, D.L., Yu, B. and Wei, J.J., 2017. A coupled volume-of-fluid and level set (VOSET) method based on remapping algorithm for unstructured triangular grids, International Journal of Heat and Mass Transfer, 111, 232–245.
Chakraborty, I., Biswas, G. and Ghoshdastidar, P.S., 2013. A coupled level-set and volume-of-fluid method for the buoyant rise of gas bubbles in liquids, International Journal of Heat and Mass Transfer, 58(1–2), 240–259.
Chang, J., Liu, S.X. and Li, J.X., 2017. A study of the stability properties in simulation of wave propagation with SPH method, China Ocean Engineering, 31(2), 173–182.
Chang, T.J., Kao, H.M., Chang, K.H. and Hsu, M.H., 2011. Numerical simulation of shallow-water dam break flows in open channels using smoothed particle hydrodynamics, Journal of Hydrology, 408(1–2), 78–90.
Chanson, H., Aoki, S.I. and Maruyama, M., 2000. Experimental Investigations of Wave Runup Downstream of Nappe Impact: Applications to Flood Wave Resulting from Dam Overtopping and Tsunami Wave Runup, Coastal/Ocean Engineering Report, No. COE00-2, Department of Architecture and Civil Engineering, Toyohashi University of Technology, Japan.
Chen, Y.S., Zheng, X., Jin, S.Q. and Duan, W.Y., 2017. A corrected solid boundary treatment method for smoothed particle hydrodynamics, China Ocean Engineering, 31(2), 238–247.
Cheng, D., Tong, C.Y., Shen, X.Y. and Zhao, X.Z., 2017. Experimental and numerical research on the interaction between tsunami wave and breakwater, Proceedings of the 18th China Ocean (Coastal) Engineering Conference, Zhoushan, China, pp.835–839. (in Chinese)
Dominicis, M.D., Wolf, J., Jevrejeva, S., Zheng, P. and Hu, Z., 2020. Future interactions between sea level rise, tides, and storm surges in the world’s largest urban area, Geophysical Research Letters, 47(4), e2020GL087002.
Ghias, R., Mittal, R. and Dong, H., 2007. A sharp interface immersed boundary method for compressible viscous flows, Journal of Computational Physics, 225(1), 528–553.
Gu, Z.H., Wen, H.L., Yu, C.H. and Sheu, T.W.H., 2018. Interface-preserving level set method for simulating dam-break flows, Journal of Computational Physics, 374, 249–280.
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.
Hou, J.M., Li, X.J., Wang, P.T., Wang, J.C. and Ren, Z.Y., 2020. Hazard analysis of tsunami disaster on the Maritime Silk Road, Acta Oceanologica Sinica, 39(1), 74–82.
Ji, C.N., Wang, Y.Z. and Wang, J.F., 2005. A novel VOF-Type volume-tracking method for free-surface flows based on unstructured triangular mesh, China Ocean Engineering, 19(4), 529–538.
Kao, H.M. and Chang, T.J., 2012. Numerical modeling of dambreak-induced flood and inundation using smoothed particle hydrodynamics, Journal of Hydrology, 448–449, 232–244.
Kees, C.E., Akkerman, I., Farthing, M.W. and Bazilevs, Y., 2011. A conservative level set method suitable for variable-order approximations and unstructured meshes, Journal of Computational Physics, 230(12), 4536–4558.
Kocaman, S. and Ozmen-Cagatay, H., 2015. Investigation of dam-break induced shock waves impact on a vertical wall, Journal of Hydrology, 525, 1–12.
Lee, S.L. and Sheu, S.R., 2001. A new numerical formulation for incompressible viscous free surface flow without smearing the free surface, International Journal of Heat and Mass Transfer, 44(10), 1837–1848.
Li, X.Y., Wang, Q., You, Z.J., Guo, W.J., Zhang, J.B., Zhan, C., Zhang, Z.C., Wang, L.X. and Li, Q., 2020. Wave attenuation performance and the influencing factors of a lower arc-plate breakwater, China Ocean Engineering, 34(1), 89–98.
Ling, K., Li, Z.H., Sun, D.L., He, Y.L. and Tao, W.Q., 2015. A three-dimensional volume of fluid & level set (VOSET) method for incompressible two-phase flow, Computers & Fluids, 118, 293–304.
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.
Mittal, R. and Iaccarino, G., 2005. Immersed boundary methods, Annual Review of Fluid Mechanics, 37(1), 239–261.
Moon, W.C., Tan, K.C. 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.
Ng, K.C., Hwang, Y.H., Sheu, T.W. H. and Yu, C.H., 2015. Moving Particle Level-Set (MPLS) method for incompressible multiphase flow computation, Computer Physics Communications, 196, 317–334.
Ningegowda, B.M. and Premachandran, B., 2014. A Coupled Level Set and Volume of Fluid method with multi-directional advection algorithms for two-phase flows with and without phase change, International Journal of Heat and Mass Transfer, 79, 532–550.
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.
Osher, S. and Fedkiw, R.P., 2001. Level set methods: An overview and some recent results, Journal of Computational Physics, 169(2), 463–502.
Osher, S. and Fedkiw, R., 2003. Level Set Methods and Dynamic Implicit Surfaces, Applied Mathematical Sciences, Vol. 153, Springer-Verlag, New York.
Peskin, C.S., 1972. Flow patterns around heart valves: A numerical method, Journal of Computational Physics, 10(2), 252–271.
Shamsoddini, R. and Abolpur, B., 2019. Investigation of the effects of baffles on the shallow water sloshing in a rectangular tank using a 2D turbulent ISPH method, China Ocean Engineering, 33(1), 94–102.
Shu, C.W., 1988. Total-variation-diminishing time discretizations, SIAM Journal on Scientific and Statistical Computing, 9(6), 1073–1084.
Sussman, M. and Puckett, E.G., 2000. A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows, Journal of Computational Physics, 162(2), 301–337.
Suzuki, T., Hu, Z., Kumada, K., Phan, L.K. and Zijlema, M., 2019. Non-hydrostatic modeling of drag, inertia and porous effects in wave propagation over dense vegetation fields, Coastal Engineering, 149, 49–64.
Vischer, D.L. and Hager, W.H., 1998. Dam Hydraulics, John Wiley and Sons Ltd., England.
Wang, H.K., Yan, Y.H., Chen, C.M., Ji, C.N. and Zhai, Q., 2019. Numerical investigation on vortex-induced rotations of a triangular cylinder using an immersed boundary method, China Ocean Engineering, 33(6), 723–733.
Wang, Z.Y. and Tong, A.Y., 2009. A sharp surface tension modeling method for two-phase incompressible interfacial flows, International Journal for Numerical Methods in Fluids, 64(7), 709–732.
Wang, Z.Y., Yang, J.M. and Stern, F., 2012. A new volume-of-fluid method with a constructed distance function on general structured grids, Journal of Computational Physics, 231(9), 3703–3722.
Xu, Y.Z., Zhao, W.W. and Wan, D.C., 2020. MPS method for interaction between solitary waves and submerged horizontal plate, China Ocean Engineering, 34(3), 314–327.
Yang, C., Zhang, H.X., Su, H.L. and Shen, Z.X., 2018. Numerical simulation of sloshing using the MPS-FSI method with large eddy simulation, China Ocean Engineering, 32(3), 278–287.
Yang, J.M. and Stern, F., 2009. Sharp interface immersed-boundary/level-set method for wave-body interactions, Journal of Computational Physics, 228(17), 6590–6616.
Yokoi, K., 2007. Efficient implementation of THINC scheme: A simple and practical smoothed VOF algorithm, Journal of Computational Physics, 226(2), 1985–2002.
Yu, C.H., Wen, H.L., Gu, Z.H. and An, R.D., 2019. Numerical simulation of dam-break flow impacting a stationary obstacle by a CLS-VOF/IB method, Communications in Nonlinear Science and Numerical Simulation, 79, 104934.
Zhang, M.L., Hao, Z.N., Zhang, Y.P. and Wu, W.M., 2013. Numerical simulation of solitary and random wave propagation through vegetation based on VOF method, Acta Oceanologica Sinica, 32(7), 38–46.
Zhang, M.L., Ji, Y.P., Wang, Y.N., Zhang, H.X. and Xu, T.P., 2020. Numerical investigation on tsunami wave mitigation on forest sloping beach, Acta Oceanologica Sinica, 39(1), 130–140.
Zhang, Y.X., Wan, D.C. and Hino, T., 2014. Comparative study of MPS method and level-set method for sloshing flows, Journal of Hydrodynamics, 26(4), 577–585.
Zhao, X.Z., Cheng, D., Zhang, Y.F. and Li, M.Y., 2019. Experimental and numerical study on the hydrodynamic characteristics of solitary waves passing over a submerged breakwater, China Ocean Engineering, 33(3), 253–267.
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item
This research was financially supported by the National Key R&D Program of China (Grant No. 2016YFC0503562207), the National Natural Science Foundation of China (Grant No. 51979178), the Department of Science and Technology of Sichuan Province (Grant No. 2019YJ0118), the Fundamental Research Funds for the Central Universities (Grant No. YJ201837), the Innovation Spark Project (Grant No. SCUH0049) and the Opening Foundation of Sichuan University, State Key Laboratory of Hydraulics and Mountain River Engineering (Grant No. Skhl1820).
Rights and permissions
About this article
Cite this article
An, Rd., Jiang, Dp., Yu, Ch. et al. Numerical Simulation of Tsunami-Like Wave Impacting on Breakwater by CLSVOF/IB Method. China Ocean Eng 35, 676–686 (2021). https://doi.org/10.1007/s13344-021-0059-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13344-021-0059-3