Browse > Article
http://dx.doi.org/10.5392/JKCA.2015.15.06.539

Run-up Height around Axis-symmetric Topographies  

Jung, Tae-Hwa (한밭대학교 건설환경공학부)
Ryu, Yong-Uk (한국건설기술연구원 수자원하천연구소)
Publication Information
The Journal of the Korea Contents Association / v.15, no.6, 2015 , pp. 539-546 More about this Journal
Abstract
In this study, we develop numerical model using the elliptic mild-slope equation for waves propagating around axis-symmetric topographies where the water depth varies arbitrarily having zero at the coastline. The entire region is divided into three regions. In the both of inner and outer regions, an existing analytical solutions are used. In the middle region, the finite element technique is applied to the governing equation. To get the solution, the methods of separation of variables, Frobenius series are used. Developed solution is validated by comparing with previously developed analytical solution. We also investigate various cases with different bottom topographies.
Keywords
Run-up Height; Island; Numerical Method;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 김석규, 김직수, 김상완, 노승우, 김서영, 황순욱 "슈퍼컴퓨팅환경에서의 대규모 계산 작업 처리 기술 연구", 한국콘텐츠학회논문집, 제14권, 제5호, pp.8-17, 2014.
2 김수영, 이승오, 정태화, "함몰지형 위를 통과하는 파의 변형에 관한 해석해", 한국콘텐츠학회논문집, 제12권, 제3호, pp.434-441, 2012.
3 J. C. W. Berkhoff, "Computation of combined refraction and diffraction," Proceedings of 13th International Conference on Coastal Engineering, ASCE, pp.471-490, 1972.
4 Y. S. Cho, "Numerical simulations of tsunami propagation and run-up," PHD Thesis, Cornell University, p.264, 1995.
5 S. Homma, "On the behavior of seismic sea waves around island," Geophys. Mag., Vol.9, pp.199-208, 1950.
6 J. R. Houston, "Combined refraction and diffraction of short waves using the finite element method," Applied, Oc. Res., Vol.3, pp.163-170, 1981.   DOI   ScienceOn
7 I. G. Jonsson, O. Skovgaard, and O. Brink-Kjaer, "Diffraction and refraction calculations for waves incident on an island," J. of Marine Res., Vol.34, pp.469-496, 1976.
8 T. H. Jung, C. Lee, and Y. S. Cho, "Analytical solutions for long waves over a circular island," Coastal Engrg., Vol.57, pp.440-446, 2010.   DOI   ScienceOn
9 C. Lee, W. S. Park, Y. S. Cho, and K. D. Suh, "Hyperbolic mild-slope equations extended to account for rapidly varying topography," Coastal Engrg., Vol.34, pp.243-257, 1998.   DOI   ScienceOn
10 H. W. Liu, P. Lin, and N. J. Shankar, "An analytical solution of the mild-slope equation for waves around a circular island on a paraboloidal shoal," Coastal Engrg., Vol.51, pp.421-437, 2004.   DOI   ScienceOn
11 P. J. Lynett, T. R. Wu, and P. L. F. Liu, "Modeling wave runup with depth-integrated equations," Coastal Eng., Vol.46, pp.89-107, 2002.   DOI   ScienceOn
12 P. A. Madsen and J. Larsen, "An efficient finite-difference approach to the mild-slope equation," Coastal Eng., Vol.11, pp.329-351, 1987.   DOI   ScienceOn
13 C. C. Mei, The applied Dynamics of Ocean Surface Waves, World Scientific, 1989.
14 C. C. Mei, Mathematical Analysis in Engineering, Cambridge University Press, 1995.
15 W. S. Park, I. S. Chun, and W. M. Jeoung, "Infinite element for the analysis of harbor resonances," J. of KSCOE, Vol.6, pp.139-149, 1994.
16 K. D. Suh, C. L, Y. H. Park, and T. H. Lee, "Experimental verification of horizontal two-dimensional modified mild-slope equations model," Coastal Engrg., Vol.44, pp.1-12, 2001.   DOI   ScienceOn
17 T. K. Tsay and P. L. F. Liu, "A finite element model for wave refraction and diffraction," Applied Oc. Res., Vol.5, pp.30-37, 1983.   DOI   ScienceOn
18 B. Xu, V. Panchang, and Z. Demirbilek, "Exterior reflections in elliptic harbor wave models," J. of Wtrwy., Port., Coast., and Oc. Engrg., ASCE, Vol.122, pp.118-126, 1996.   DOI
19 X. Yu and B. Zhang, "An extended analytic solution for combined refraction and diffraction of long waves over circular shoal," Ocean Engrg., Vol.30, pp.1253-1267, 2003.   DOI   ScienceOn
20 Y. L. Zhang and S. P. Zhu, "New solutions for the propagation of long water waves over variable depth," J. of Fluid Mech., Vol.278, pp.391-406, 1994.   DOI   ScienceOn
21 S. P. Zhu and Y. L. Zhang, "Scattering of long waves around a circular island mounted on a conical shoal," Wave Motion, Vol.23, pp.353-362, 1996.   DOI   ScienceOn