首页 » 文章 » 文章详细信息
Mathematical Problems in Engineering Volume 2017 ,2017-08-07
Shallow-Water-Equation Model for Simulation of Earthquake-Induced Water Waves
Research Article
Hongzhou Ai 1 , 2 Lingkan Yao 1 , 3 , 4 Haixin Zhao 1 , 5 Yiliang Zhou 1
Show affiliations
DOI:10.1155/2017/3252498
Received 2017-04-13, accepted for publication 2017-06-07, Published 2017-06-07
PDF
摘要

A shallow-water equation (SWE) is used to simulate earthquake-induced water waves in this study. A finite-difference method is used to calculate the SWE. The model is verified against the models of Sato and of Demirel and Aydin with three kinds of seismic waves, and the numerical results of earthquake-induced water waves calculated using the proposed model are reasonable. It is also demonstrated that the proposed model is reliable. Finally, an empirical equation for the maximum water elevation of earthquake-induced water waves is developed based on the results obtained using the model, which is an improvement on former models.

授权许可

Copyright © 2017 Hongzhou Ai et al. 2017
This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

图表
通讯作者

Lingkan Yao.School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China, swjtu.edu.cn;Road and Railway Engineering Research Institute, Sichuan Key Laboratory of Seismic Engineering and Technology, Chengdu 610031, China;MOE Key Laboratory of High-Speed Railway Engineering, Chengdu 610031, China.yaolk@swjtu.edu.cn

推荐引用方式

Hongzhou Ai,Lingkan Yao,Haixin Zhao,Yiliang Zhou. Shallow-Water-Equation Model for Simulation of Earthquake-Induced Water Waves. Mathematical Problems in Engineering ,Vol.2017(2017)

您觉得这篇文章对您有帮助吗?
分享和收藏
15

是否收藏?

参考文献
[1] H. M. Westergaard. (1933). Water pressures on dams during earthquakes. Transactions of the American Society of Civil Engineers.98(2):418-432. DOI: 10.1007/s10346-009-0160-9.
[2] K.-L. Fok, A. K. Chopra. (1987). Water compressibility in earthquake response of arch dams. Journal of Structural Engineering (United States).113(5):958-975. DOI: 10.1007/s10346-009-0160-9.
[3] T.-K. Hung, B.-F. Chen. (1990). Nonlinear hydrodynamic pressure on dams. Journal of Engineering Mechanics.116(6):1372-1391. DOI: 10.1007/s10346-009-0160-9.
[4] G. X. Wu, Q. W. Ma, R. Eatock Taylor. (1998). Numerical simulation of sloshing waves in a 3D tank based on a finite element method. Applied Ocean Research.20(6):337-355. DOI: 10.1007/s10346-009-0160-9.
[5] C. Du, L. Yao, Y. Huang, J. Yan. et al.(2016). Effects of seismic surge waves and implications for moraine-dammed lake outburst. Frontiers of Earth Science.10(3):570-577. DOI: 10.1007/s10346-009-0160-9.
[6] Q. H. Lin. (2009). Numerical Simulation of Sediment Transport and Morphological Evolution [Ph.D. thesis]. DOI: 10.1007/s10346-009-0160-9.
[7] B.-F. Chen, Y.-S. Yuan, J.-F. Lee. (1999). Three-dimensional nonlinear hydrodynamic pressures by earthquakes on dam faces with arbitrary reservoir shapes. Journal of Hydraulic Research.37(2):163-187. DOI: 10.1007/s10346-009-0160-9.
[8] W. Y. Tan. (1992). Shallow Water Hydrodynamics. DOI: 10.1007/s10346-009-0160-9.
[9] Y. G. Chen, K. Djidjeli, W. G. Price. (2009). Numerical simulation of liquid sloshing phenomena in partially filled containers. Computers and Fluids.38(4):830-842. DOI: 10.1007/s10346-009-0160-9.
[10] B. Godderidge, S. Turnock, M. Tan, C. Earl. et al.(2009). An investigation of multiphase CFD modelling of a lateral sloshing tank. Computers and Fluids.38(2):183-193. DOI: 10.1007/s10346-009-0160-9.
[11] E. Demirel, I. Aydin. (2016). Numerical simulation and formulation of wave run-up on dam face due to ground oscillations using major earthquake acceleration records. Journal of Engineering Mechanics.142(6). DOI: 10.1007/s10346-009-0160-9.
[12] M. Brun, J. M. Reynouard, L. Jezequel, N. Ile. et al.(2004). Damaging potential of low-magnitude near-field earthquakes on low-rise shear walls. Soil Dynamics and Earthquake Engineering.24(8):587-603. DOI: 10.1007/s10346-009-0160-9.
[13] Z.-X. Jiang, P. Cui, L.-W. Jiang. (2004). Critical hydrologic conditions for overflow burst of moraine lake. Chinese Geographical Science.14(1):39-47. DOI: 10.1007/s10346-009-0160-9.
[14] O. M. Faltinsen. (1978). A numerical nonlinear method of sloshing in tanks with two-dimensional flow. Journal of Ship Research.22(3):193-202. DOI: 10.1007/s10346-009-0160-9.
[15] D. Liu, P. Lin. (2008). A numerical study of three-dimensional liquid sloshing in tanks. Journal of Computational Physics.227(8):3921-3939. DOI: 10.1007/s10346-009-0160-9.
[16] B.-F. Chen, Y.-S. Yuan. (2011). Hydrodynamic Pressures on Arch Dam during Earthquakes. Journal of Hydraulic Engineering.137(1):34-44. DOI: 10.1007/s10346-009-0160-9.
[17] M. J. Cooker. (1994). Water waves in a suspended container. Wave Motion.20(4):385-395. DOI: 10.1007/s10346-009-0160-9.
[18] I. Aydin, E. Demirel. (2012). Hydrodynamic modeling of dam-reservoir response during earthquakes. Journal of Engineering Mechanics.138(2):164-174. DOI: 10.1007/s10346-009-0160-9.
[19] C.-H. Zee, R. Zee. (2006). Earthquake hydrodynamic pressure on dams. Journal of Hydraulic Engineering.132(11):1128-1133. DOI: 10.1007/s10346-009-0160-9.
[20] Y. Zhang, P. Lin. (2016). An improved SWE model for simulation of dam-break flows. Proceedings of the Institution of Civil Engineers: Water Management.169(6):260-274. DOI: 10.1007/s10346-009-0160-9.
[21] C. S. Porter, A. K. Chopra. (1982). Hydrodynamic effects in dynamic response of simple arch dams. Earthquake Engineering and Structural Dynamics.10(3):417-431. DOI: 10.1007/s10346-009-0160-9.
[22] P. Cui, Y.-Y. Zhu, Y.-S. Han, X.-Q. Chen. et al.(2009). The 12 May Wenchuan earthquake-induced landslide lakes: distribution and preliminary risk evaluation. Landslides.6(3):209-223. DOI: 10.1007/s10346-009-0160-9.
[23] B.-F. Chen. (1994). Nonlinear hydrodynamic pressures by earthquakes on dam faces with arbitrary reservoir shapes. Journal of Hydraulic Research.32(3):401-413. DOI: 10.1007/s10346-009-0160-9.
[24] Q. Sato. (1967). Seismic waves in reservoirs generated by earthquake. Civil Engineering Materials.9:480-482. DOI: 10.1007/s10346-009-0160-9.
文献评价指标
浏览 256次
下载全文 12次
评分次数 0次
用户评分 0.0分
分享 15次