All Issue

2019 Vol.32, Issue 5 Preview Page
Computational Model for Hydrodynamic Pressure on Radial Gates during Earthquakes

레디얼 게이트에 작용하는 지진 동수압 계산 모형

Hoang Nam Phan12
,
Jeeho Lee2†
판 홍 남12
,
이 지 호2†
1Faculty of Road and Bridge Engineering, The University of Danang, 550000, Vietnam
2Department of Civil and Environmental Engineering, Dongguk University-Seoul, 04620, Seoul, Korea
1다낭대학교 도로 및 교량공학부
2동국대학교 건설환경공학과
†Corresponding author: Tel: +82-2-2260-3352; E-mail: jeeholee@dgu.edu
2019. pp. 323-331
PDF XML Citation
Abstract

In this study, a computational model approach for the modeling of hydrodynamic pressures acting on radial gates during strong earthquakes is proposed. The use of the dynamic layering method with the Arbitrary Lagrangian Eulerian (ALE) algorithm and the SIMPLE method for simulating free reservoir surface flow in addition to moving boundary interfaces between the fluid domain and a structure due to earthquake excitation are suggested. The verification and validation of the proposed approach are realized by comparisons performed using the renowned formulation derived by the experimental results for vertical and inclined dam surfaces subjected to earthquake excitation. A parameter study for the truncated lengths of the two-dimensional fluid domain demonstrates that twice the water level leads to efficient and converged computational results. Finally, numerical simulations for large radial gates with different curvatures subjected to two strong earthquakes are successfully performed using the suggested computational model.

Keywords
radial gate
hydrodynamic pressure
earthquake excitation
computational model

강한 지진의 영향에 있는 레디얼 게이트에 작용하는 동수압 산정을 위한 계산 모형이 제시되었다. 지진동으로 움직이는 구조물의 영향을 호소부와의 이동경계면으로 처리함과 아울러 강한 지진동 효과를 고려하여 동적 레이어링법이 적용된 ALE 알고리즘과 호소부 자유수면 거동을 위한 SIMPLE법을 사용하는 것이 제안된다. 제안된 방법은 단순한 수직 또는 경 사 댐체 벽면에 대하여 널리 알려진 실험 결과 및 그로부터 유도된 제안식과 비교하여 타당성과 유효성이 증명되었다. 계산 모형에서 사용할 호소부 상류부 측의 무한경계까지의 거리를 산정하기 위한 파라미터 분석을 수행하여 호소부 수위의 2배가 최적의 길이임을 관찰하였다. 마지막으로 제안된 계산 모형을 사용하여 여러 곡률의 대형 레디얼 게이트에 작용하는 지진 동수압을 성공적으로 산출하였다.

키워드
레디얼 게이트
동수압
지진 진동
계산 모형
References
1
ANSYS (2010) ANSYS FLUENT 12.0/12.1 Documentation, ANSYS, Inc., NH, USA.
2
Chakrabarti, P., Chopra, A.K. (1973). Earthquake Analysis of Gravity Dams including Hydrodynamic Interaction, Earthq. Eng. Struct. Dyn., 2, pp.143 ∼160. 10.1002/eqe.4290020205
10.1002/eqe.4290020205
3
Chen, B., Yuan, Y. (2011) Hydrodynamic Pressures on Arch Dam during Earthquakes, J. Hydraul. Eng., 137(1), pp.34∼44. 10.1061/(ASCE)HY.1943-7900.0000268
10.1061/(ASCE)HY.1943-7900.0000268
4
Chen, B.F. (1994) Nonlinear Hydrodynamic Pressure on Dam Faces with Arbitrary Reservoir Shapes, J. of Hydra Res., 32(3), pp.401∼413. 10.1080/00221689409498742
10.1080/00221689409498742
5
Chen, B.F. (1996) Nonlinear Hydrodynamic Effects on Concrete Dam, Engrg. Str., 18 (3), pp.201∼212. 10.1016/0141-0296(95)00138-7
10.1016/0141-0296(95)00138-7
6
Chen, B.F., Yuan, Y.S., Lee, J.F. (1999) Three- Dimensional Nonlinear Hydrodynamic Pressures by Earthquakes on Dam Faces with Arbitrary Reservoir Shapes, J. Hydra. Res., 37(2), pp.163∼187. 10.1080/00221689909498304
10.1080/00221689909498304
7
Chopra, A.K. (1970) Earthquake Response of Concrete Gravity Dams, Report No. UCB/EERC-70/01, University of California at Berkeley, CA, USA.
8
Chopra, A.K. (1978) Earthquake Resistant Design of Concrete Gravity Dams, J. Struct. Div., ASCE, 104, pp.953∼971.
9
Chwang, A.T. (1978) Hydrodynamic Pressures on Sloping Dams during Earthquakes. Part 2, Exact Theory, J. Fluid Mech., 87, pp.342∼348. 10.1017/S0022112078001640
10.1017/S0022112078001640
10
Chwang, A.T. (1983) Nonlinear Hydrodynamic Pressure on an Accelerating Plate, J. Physics Fluids, 26(2), pp.383∼387. 10.1063/1.864147
10.1063/1.864147
11
Chwang, A.T., Housner, G.W. (1978) Hydrodynamic Pressures on Sloping Dams during Earthquakes. Part 1, Momentum Method, J. Fluid Mech., 87, pp.335∼341. 10.1017/S0022112078001639
10.1017/S0022112078001639
12
Donea, J., Giuliani, S., Halleux, J.P. (1982) An Arbitrary Lagrangian-Eulerian Finite Element Method for Transient Fluid-Structure Interaction, Comput. Methods Appl. Mech. Engrg., 33, pp.689∼723. 10.1016/0045-7825(82)90128-1
10.1016/0045-7825(82)90128-1
13
Fenves, G., Chopra, A.K. (1984) Earthquake Analysis and Response of Concrete Gravity Dams, Report No. UCB/EERC-84/10, University of California at Berkeley, CA, USA.
14
Hall, J.F., Chopra, A.K. (1982) Two-Dimensional Dynamic Analysis of Concrete Gravity and Embankment Dams including Hydrodynamic Effects, Earthq. Eng. Struct. Dyn., 10, pp.305∼332. 10.1002/eqe.4290100211
10.1002/eqe.4290100211
15
Hirt, C.W., Amsden, A.A., Cook, J.L. (1974) An Arbitrary Lagrangian-Eulerian Computing Method for All Flow Speeds, J. Comput. Phys., 14, pp.227 ∼253. 10.1016/0021-9991(74)90051-5
10.1016/0021-9991(74)90051-5
16
Hirt, C.W., Nichols, B.D. (1981) Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries, J. Comput. Phys., 39, pp.201~225. 10.1016/0021-9991(81)90145-5
10.1016/0021-9991(81)90145-5
17
Patankar, S.V., Spalding, D.B. (1972) A Calculation Procedure for Hear, Mass and Momentum Transfer in Three-Dimensional Parabolic Flows, Int. J. Heat Mass Transfer, 15(10), pp.1787∼1806. 10.1016/0017-9310(72)90054-3
10.1016/0017-9310(72)90054-3
18
Pelecanos, L., Kontoe, S., Zdravković, L. (2016) Dam-Reservoir Interaction Effects on the Elastic Dynamic Response of Concrete and Earth Dams, Soil Dyn. Earthq. Eng., 82, pp.138~141. 10.1016/j.soildyn.2015.12.003
10.1016/j.soildyn.2015.12.003
19
Phan, H.N., Lee, J. (2010) Flood Impact Pressure Analysis of Vertical Wall Structures using PLICVOF Method with Lagrangian Advection Algorithm, J. Comput. Struct. Eng. Inst. Korea, 23(6) pp.675~682.
20
Rider, W.J., Kothe, D.B. (1998) Reconstructing Volume Tracking, J. Comput. Phys., 141, pp.112∼152. 10.1006/jcph.1998.5906
10.1006/jcph.1998.5906
21
Saini, S.S., Bettess P.,d Zienkiewicz, O.C. (1978) Coupled Hydrodynamic Response of Concrete Gravity Dams using Finite and Infinite Elements, Earthq. Eng. Struct. Dyn., 6, pp.363∼374. 10.1002/eqe.4290060404
10.1002/eqe.4290060404
22
USACE (2000) Design of Spillway Tainter Gates, EM 1110-2-2702, US Army Corps of Engineers.
23
USACE (2007) Earthquake Design and Evaluation of Concrete Hydraulic Structures, EM 1110-2-6053, US Army Corps of Engineers.
24
USBR (2006) State-of-Practice for the Nonlinear Analysis of Concrete Dams at the Bureau of Reclamation, Bureau of Reclamation, US Department of the Interior.
25
Westergaard, H.M. (1933) Water Pressure on Dams during Earthquakes, Trans. ASCE, 98, pp.418∼472.
26
Youngs, D.L. (1982) Time-dependent Multi-Material Flow with Large Fluid Distortion, Numerical Method for Fluid Dynamics, Academic Press, NY, pp.273∼285.
27
Zangar, C.N. (1952) Hydrodynamic Pressures on Dams Due to Horizontal Earthquake Effects, Bureau of Reclamaton, US Department of the Inteior.
Information
  • Publisher :Computational Structural Engineering Institute of Korea
  • Publisher(Ko) :한국전산구조공학회
  • Journal Title :Journal of the Computational Structural Engineering Institute of Korea
  • Journal Title(Ko) :한국전산구조공학회 논문집
  • Volume : 32
  • No :5
  • Pages :323-331
  • Received Date : 2019-08-17
  • Revised Date : 2019-08-24
  • Accepted Date : 2019-08-27
  • DOI :https://doi.org/10.7734/COSEIK.2019.32.5.323
Journal Informaiton Journal of the Computational Structural Engineering Institute of Korea Journal of the Computational Structural Engineering Institute of Korea
Online Submission
  • NRF
  • KOFST
  • crossref crossmark
  • crossref cited-by
  • crosscheck
  • orcid
  • open access
  • ccl
Journal Informaiton Journal Informaiton - close