Citation: | Ping Wang, Zhongbo Liu, Kezhao Fang, Wenfeng Zou, Xiangke Dong, Jiawen Sun. Simulating the evolution of focused waves by a two-layer Boussinesq-type model[J]. Acta Oceanologica Sinica, 2024, 43(5): 91-99. doi: 10.1007/s13131-024-2321-z |
Ai Congfang, Ding Weiye, Jin Sheng. 2014. A general boundary-fitted 3D non-hydrostatic model for nonlinear focusing wave groups. Ocean Engineering, 89: 134–145, doi: 10.1016/j.oceaneng.2014.08.002
|
Baldock T E, Swan C. 1996. Extreme waves in shallow and intermediate water depths. Coastal Engineering, 27(1/2): 21–46, doi: 10.1016/0378-3839(95)00040-2
|
Baldock T E, Swan C, Taylor P H. 1996. A laboratory study of nonlinear surface waves on water. Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 354(1707): 649–676
|
Chawla A, Kirby J T. 2000. A source function method for generation of waves on currents in Boussinesq models. Applied Ocean Research, 22(2): 75–83, doi: 10.1016/S0141-1187(00)00005-5
|
Ducrozet G, Bonnefoy F, Le Touzé D, et al. 2012. A modified high-order spectral method for wavemaker modeling in a numerical wave tank. European Journal of Mechanics-B/Fluids, 34: 19–34, doi: 10.1016/j.euromechflu.2012.01.017
|
Fang Kezhao, Liu Zhongbo, Sun Jiawen, et al. 2020. Development and validation of a two-layer Boussinesq model for simulating free surface waves generated by bottom motion. Applied Ocean Research, 94: 101977, doi: 10.1016/j.apor.2019.101977
|
Fang Kezhao, Liu Zhongbo, Wang Ping, et al. 2022. Modeling solitary wave propagation and transformation over complex bathymetries using a two-layer Boussinesq model. Ocean Engineering, 265: 112549, doi: 10.1016/j.oceaneng.2022.112549
|
Fuhrman D R, Madsen P A. 2010. Numerical simulation of extreme events from focused directionally spread wavefields. In: Coastal Engineering-30th International Conference. San Diego, CA, USA: World Scientific, 772–781
|
Gobbi M F, Kirby J T. 1999. Wave evolution over submerged sills: Tests of a high-order Boussinesq model. Coastal Engineering, 37(1): 57–96, doi: 10.1016/S0378-3839(99)00015-0
|
Haver S, Andersen O J. 2000. Freak waves: Rare realizations of a typical population or typical realizations of a rare population?. In: Proceedings of the 10th International Offshore and Polar Engineering Conference. Seattle, WA, USA: ISOPE,123–130
|
Hsiao S C, Lynett P, Hwung H H, et al. 2005. Numerical simulations of nonlinear short waves using a multilayer model. Journal of Engineering Mechanics, 131(3): 231–243, doi: 10.1061/(ASCE)0733-9399(2005)131:3(231
|
Johannessen T B, Swan C. 2001. A laboratory study of the focusing of transient and directionally spread surface water waves. Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment, 457(2008): 971–1006
|
Kharif C, Pelinovsky E. 2003. Physical mechanisms of the rogue wave phenomenon. European Journal of Mechanics-B/Fluids, 22(6): 603–634, doi: 10.1016/j.euromechflu.2003.09.002
|
Kirby J T, Wei G, Chen Qin, et al. 1998. FUNWAVE 1.0: Fully nonlinear Boussinesq wave model-documentation and user’s manual. Research Report No. CACR-98–06. NewarkDE, USA: University of Delaware
|
Li Jinxuan, Liu Shuxue. 2015. Focused wave properties based on a high order spectral method with a non-periodic boundary. China Ocean Engineering, 29(1): 1–16, doi: 10.1007/s13344-015-0001-7
|
Li Mengyu, Zhao Xizeng, Ye Zhouteng, et al. 2018. Generation of regular and focused waves by using an internal wave maker in a CIP-based model. Ocean Engineering, 167: 334–347, doi: 10.1016/j.oceaneng.2018.08.048
|
Liu Shuxue, Hong Qiying. 2004. The generation method of three-dimensional focusing wave and its properties. Haiyang Xuebao (in Chinese), 26(6): 133–142
|
Liu Zhongbo, Fang Kezhao. 2016. A new two-layer Boussinesq model for coastal waves from deep to shallow water: Derivation and Analysis. Wave Motion, 67: 1–14, doi: 10.1016/j.wavemoti.2016.07.002
|
Liu Zhongbo, Fang Kezhao. 2019. Numerical verification of a two-layer Boussinesq-type model for surface gravity wave evolution. Wave Motion, 85: 98–113, doi: 10.1016/j.wavemoti.2018.11.007
|
Liu Zhongbo, Fang Kezhao, Cheng Y Z. 2018. A new multi-layer irrotational Boussinesq-type model for highly nonlinear and dispersive surface waves over a mildly sloping seabed. Journal of Fluid Mechanics, 842: 323–353, doi: 10.1017/jfm.2018.99
|
Liu Zhongbo, Fang Kezhao, Sun Jiawen. 2019. A multi-layer Boussinesq-type model with second-order spatial derivatives: Theoretical analysis and numerical implementation. Ocean Engineering, 191: 106545, doi: 10.1016/j.oceaneng.2019.106545
|
Ma Yuxiang, Dong Guohai, Liu Shuxue, et al. 2010. Laboratory study of unidirectional focusing waves in intermediate depth water. Journal of Engineering Mechanics, 136(1): 78–90, doi: 10.1061/(ASCE)EM.1943-7889.0000076
|
Madsen P A, Bingham H B, Liu Hua. 2002. A new Boussinesq method for fully nonlinear waves from shallow to deep water. Journal of Fluid Mechanics, 462: 1–30, doi: 10.1017/S002211200 2008467
|
Madsen P A, Murray R, Sørensen O R. 1991. A new form of the Boussinesq equations with improved linear dispersion characteristics. Coastal Engineering, 15(4): 371–388, doi: 10.1016/0378-3839(91)90017-B
|
Ning Dezhi, Teng Bin, Eatock Taylor R, et al. 2008. Numerical simulation of non-linear regular and focused waves in an infinite water-depth. Ocean Engineering, 35(8/9): 887–899, doi: 10.1016/j.oceaneng.2008.01.015
|
Ning Dezhi, Zang Jun, Liu Shuxue, et al. 2009. Free-surface evolution and wave kinematics for nonlinear uni-directional focused wave groups. Ocean Engineering, 36(15/16): 1226–1243, doi: 10.1016/j.oceaneng.2009.07.011
|
Nwogu O. 1993. Alternative form of Boussinesq equations for nearshore wave propagation. Journal of Waterway, Port, Coastal, and Ocean Engineering, 119(6): 618–638
|
Smith S F, Swan C. 2002. Extreme two-dimensional water waves: an assessment of potential design solutions. Ocean Engineering, 29(4): 387–416, doi: 10.1016/S0029-8018(01)00028-2
|
Wei Ge, Kirby J T, Grilli S T, et al. 1995. A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves. Journal of Fluid Mechanics, 294: 71–92, doi: 10.1017/S0022112095002813
|
Wei Ge, Kirby J T, Sinha A. 1999. Generation of waves in Boussinesq models using a source function method. Coastal Engineering, 36(4): 271–299, doi: 10.1016/S0378-3839(99)00009-5
|
Zhao Xizeng, Sun Zhaochen, Liang Shuxiu. 2009. Efficient focusing models for generation of freak waves. China Ocean Engineering, 23(3): 429–440
|
Zhao Binbin, Zheng Kun, Duan Wenyang, et al. 2020. Time domain simulation of focused waves by high-level irrotational Green-Naghdi equations and harmonic polynomial cell method. European Journal of Mechanics-B/Fluids, 82: 83–92, doi: 10.1016/j.euromechflu.2020.02.006
|