Loading in 2 Seconds...
Loading in 2 Seconds...
Numerical Evaluation of Tsunami Wave Hazards in Harbors along the South China Sea. Huimin H. Jing 1 , Huai Zhang 1 , David A. Yuen 1, 2, 3 and Yaolin Shi 1 1 Laboratory of Computational Geodynamics, Graduate University of Chinese Academy of Sciences
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
Huimin H. Jing 1, Huai Zhang1, David A. Yuen1, 2, 3 and Yaolin Shi 1
1Laboratory of Computational Geodynamics,
Graduate University of Chinese Academy of Sciences
2Department of Geology and Geophysics, University of Minnesota
3Minnesota Supercomputing Institute, University of Minnesota
2. Numerical experiments
2.1 Governing equations
2.2 Finite difference scheme
2.3 Numerical Model
3. Results and conclusions
The probability of tsunami hazards in South China Sea.
The Manila Trench bordered the South China Sea and the adjacent Philippine Sea palate is an excellent candidate for tsunami earthquakes to occur.
The coastal height along the South China Sea is generally low making it extremely vulnerable to incoming waves with a height of only a couple meters.
The results of the probabilistic forecast of tsunami hazard show the region where the wave height is higher than 2.0m and between 1.0-2.0m with a grid resolution of around 3.8km (Y. Liu et al. 2007).
In order to investigate the wave hazard in the harbors, simulations in higher precise are needed……
Shallow water equations
Conventional Boussinesq equations
Deep water wave
Shallow water wave
L < 2h
L > 20h
Extended Boussinesq equations
is the basic parameter in the theory of shallow water model：
where C is a constant.
derivatives of h(x,y,t)
The data of the compute area is comprised by topography data on the land (SRTM3, with a grid resolution of around 90m ) and bathymetry data of the seabed (SRTM30, with a grid resolution of around 900m ) .
In our numerical model, the grid size of the computational area is about 50m while the time step is 0.05s.
When the tsunami comes from far field, the incident waves near the harbor area can be approximately considered as plane waves.
Plane wave function is as following:
Supposed the wave height is about 1m in the far field ocean, and carried on our simulations on the actual bathymetry data with the wave propagation packages.
The reflection, diffraction and interference phenomenon of the waves are illustrated by the animations.
Water surface elevation track recorder points
The time series data of the water level vary with time have been recorded.
3.Results and conclusions
By doing comparisons in the cases with different incident waves at the same point we get the effects of wave direction.
By doing comparisons in the same incident wave case at different recorder points we get the effects of water depth.
The numerical simulations can be conducted to evaluate the reasons of harbor hazards and investigate the effects of different incident waves.
The direction of incident waves affect the wave hazard in a harbor.
The wave height in the coast area would be 7-8 times higher than it is in the ocean.
Water depth is the significant factor which affects the wave height.
Fukao, Y., Tsunami earthquakes and subduction processes near deep-sea trenches, J. Geophys. Res., 1979, 84, 2303-2314.
Liu, Y., Santos, A., Wang, S.M., Shi, Y., Liu, H. and D.A. Yuen, Tsunami hazards along the Chinese coast from potential earthquakes in South China Sea, Phys. Earth Planet. Inter., 2007, 163: 233-244.
YEE, H.C., WARMING, R.F., and HARTEN, A.,Implicit total variation diminishing (TVD) schemes for steady-state calculations, Comp. Fluid Dyn. Conf. 1983, 6, 110–127.
ADAMS, M.F. (2000), Algebraic multigrid methods for constrained linear systems with applications to contact problems in solid mechanics, Numerical Linear Algebra with Applications 11(2–3), 141–153.
BREZINA, M., FALGOUT, R., MACLACHLAN, S., MANTEUFFEL, T., MCCORMICK, S., RUGE, J. (2004), Adaptive smoothed aggregation, SIAM J. Sci. Comp. 25, 1896–1920.
WEI, Y., MAO, X.Z., and CHEUNG, K.F., Well-balanced finite-volume model for long-wave run-up, J. Waterway, Port, Coastal and Ocean Engin. 2006, 132(2), 114–124.
P. Marchesiello, J.C. McWilliams and A. Shchepetkin, Open boundary conditions for long term integration of regional oceanic models, Ocean Modell. 2001, 3, pp. 1–20.
E.D. Palma and R.P. Matano, On the implementation of passive open boundary conditions for a general circulation model: the barotropic mode, J. Geophys. Res 1998, 103, pp. 1319–1341.
Huai Zhang, Yaolin Shi, David A. Yuen, Zhenzhen Yan, Xiaoru Yuan and Chaofan Zhang, Modeling and Visualization of Tsunamis, Pure and Applied Geophysics, 2008, 165, pp. 475-496.