基于非静压方程的波浪破碎模拟

上海交通大学学报 ›› 2016, Vol. 50 ›› Issue (03): 437-442.

基于非静压方程的波浪破碎模拟

邹国良1,2，张庆河1，张娜3

(1. 天津大学水利工程仿真与安全国家重点实验室, 天津 300072； 2. 南京水利科学研究院, 江苏 210024； 3. 天津城建大学土木工程学院, 天津 300384)

收稿日期:2015-03-03 出版日期:2016-03-28 发布日期:2016-03-28
基金资助:
国家自然科学基金项目（51179122），天津市自然科学基金重点资助项目（12JCZDJC30200），天津市建交委科技基金（20138）

Simulation of Wave Breaking Based on NonHydrostatic Equations

ZOU Guoliang1,2,ZHANG Qinhe1，ZHANG Na3

(1. State Key Laoratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China; 2. Nanjing Hydrulic Research Institute, Nanjing 210024, China; 3. School of Civil Engineering, Tianjin Chengjian University, Tianjin 300384, China)

Received:2015-03-03 Online:2016-03-28 Published:2016-03-28

摘要/Abstract

摘要： 摘要：在保证数值精度的基础上，为了提高非静压波浪模型在近岸波浪传播破碎模拟中的计算效率，基于非静压方程模型(SWASH)建立了近岸波浪破碎数值模型.数值模型通过将描述波浪破碎的非静压方程退化为非线性静压浅水方程并引入波浪破碎后能量衰减的紊动模型以减少模拟破碎时的垂向分层数.利用斜坡、潜堤以及沙坝上的波浪破碎水槽实验对模型进行了验证.结果表明，所建立的模型只需要在垂向划分较少的网格层数，即可合理地描述波浪破碎点位置和破碎后波高，进一步提高了非静压波浪模型在实际工程应用中的吸引力和竞争力.

关键词: 非静压方程, 波浪破碎模型, 紊动模型, 静压假定

Abstract: Abstract： A numerical model was developed for simulating wave propagation and breaking in nearshore zone with higher computational efficiency based on SWASH which is a on nonhydrostatic equations model to ensure essential numerical precision. In order to reduce vertical layers, nonhydrostatic equations were switched to nonlinear shallow water equations with hydrostatic approximation while a turbulence model was simultaneously introduced to describe the energy dissipation of breaking waves. The model was verified by experimental data of flume experiments such as wave breaking on a slope bottom, submerged breakwater and a sand bar. These validations show that the model is very effective in reasonably predcting wave breaking location and breaking wave height. This further illustruates that the nonhydrostatic model adopting realatively few vertical layers can be more attractive and competitive in actual engineering appliations.

Key words: Key words： nonhydrostatic equations, wave breaking model, turbulence model, hydrostatic approximation

中图分类号:

TV 139.2

邹国良, 张庆河, 张娜. 基于非静压方程的波浪破碎模拟[J]. 上海交通大学学报, 2016, 50(03): 437-442.

ZOU Guoliang, ZHANG Qinhe, ZHANG Na. Simulation of Wave Breaking Based on NonHydrostatic Equations[J]. Journal of Shanghai Jiao Tong University, 2016, 50(03): 437-442.

参考文献

［1］KENNEDY A, CHEN Q, KIRBY J T, et al. Boussinesq modeling of wave transformation, breaking, and runup. I: 1D［J］. Journal of Waterway, Port, Coastal, and Ocean Engineering, 2000, 126(1): 3947. ［2］SCHFFER H A, MADSEN P A, DEIGAARD R. A Boussinesq model for waves breaking in shallow water［J］. Coastal Engineering, 1993, 20(34): 185202. ［3］BRADFORD S F. Nonhydrostatic model for surf zone Simulation［J］. Journal of Waterway, Port, Coastal, and Ocean Engineering, 2011, 137(4): 163174. ［4］ZIJLEMA M, STELLING G S, SMIT P. SWASH: An operational public domain code for simulating wave fields and rapidly varied flows in coastal waters［J］. Coastal Engineering, 2011, 58(10): 9921012. ［5］MA G, SHI F, KIRBY J T. Shockcapturing nonhydrostatic model for fully dispersive surface wave processes［J］. Ocean Modelling, 2012, 4344(0): 2235. ［6］AI C, JIN S. A multilayer nonhydrostatic model for wave breaking and runup［J］. Coastal Engineering, 2012, 62: 18. ［7］SMIT P, ZIJLEMA M, STELLING G. Depthinduced wave breaking in a nonhydrostatic, nearshore wave model［J］. Coastal Engineering, 2013, 76(0): 116. ［8］邹国良, 张庆河. 非静压波浪模型的无反射造波［J］. 海洋工程, 2012, 30(4): 5561. ZOU Guoliang, ZHANG Qinghe. Wave generation without rereflection for nonhydrostatic wave model［J］. The Ocean Engineering, 2012, 30(4): 5561. ［9］STELLING G S, DUINMEIJER S P A. A staggered conservative scheme for every Froude number in rapidly varied shallow water flows［J］. International Journal for Numerical Methods in Fluids, 2003, 43: 123. ［10］STIVE M J F. Velocity and pressure field of spilling breakers［C］// Proceeding of 17th Interational Conference on Coastal Engineering. Sydney: ASCE, 1980: 547566. ［11］LIN P, LIU P LF. A numerical study of breaking waves in the surf zone［J］. Journal of Fluid Mechanics, 1998, 359: 239264. ［12］MADSEN P A, SVENDSEN I A. Turbulent bores and hydraulic jumps［J］. Journal of Fluid Mechanics, 1983, 129: 125. ［13］TONELLI M, PETTI M. Hybrid finite volumefinite difference scheme for 2DH improved Boussinesq equations［J］. Coastal Engineering, 2009, 56(56): 609620. ［14］TONELLI M, PETTI M. Finite volume scheme for the solution of 2D extended Boussinesq equations in the surf zone［J］. Ocean Engineering, 2010, 37(7): 567582. ［15］TISSIER M, BONNETON P, MARCHE F, et al. A new approach to handle wave breaking in fully nonlinear Boussinesq models［J］. Coastal Engineering, 2012, 67(0): 5466. ［16］LYNETT P J. A multilayer approach modeling generation, propagation, and interaction of water waves［D］. New York: Cornell University, 2002. ［17］LYNETT P. Nearshore wave modeling with highorder Boussinesqtype equations［J］. Journal of Waterway, Port, Coastal, and Ocean Engineering, 2006, 132(5): 348357. ［18］NAGAYMA S. Study on the change of wave height and energy in the surf zone［D］. Yokohama: Yokohama National University, 1983. ［19］WATANABE A, MARUYAMA K. A numerical model of wave deformation in surf zone［C］// Proceeding of 21st Interational Conference on Coastal Engineering. Torremolinos, Spain: ASCE, 1988: 578587. ［20］LUTH H R, KLOPMAN G, KITOU N. Project 13G: Kinematics of waves breaking partially on a offshore bar; LDV measurements for wave with and without net onshore current［R］. Delft: Faculty of Civil Engineering, Delft University of Technology, 1994. ［21］BOSBOOM J. Boussinesq modeling of wave induces particle velocities［D］. Delft: Delft University of Technology, 1995. ［22］BOERS M. Simulation of a surf zone with a barred beach; part 1: wave heights and wave breaking［R］. Delft: Faculty of Civil Engineering, Delft University of Technology, 1996.

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