Abstract
Impacts to the built environment from hazards such tsunami or flash floods are critical in understanding the economic and social effects on our communities. In order to simulate the behaviour of water flow from such hazards within the built environment, Geoscience Australia and the Australian National University are developing a software modelling tool for hydrodynamic simulations.
The tool is based on a finite-volume method for solving the Shallow Water Wave equation. The study area is represented by a large number of triangular cells, and water depths and horizontal momentum are tracked over time by solving the governing equation within each cell using a central scheme for computing fluxes. An important capability of the software is that it can model the process of wetting and drying as water enters and leaves an area. This means that it is suitable for simulating water flow onto a beach or dry land and around structures such as buildings. It is also capable of resolving hydraulic jumps well due to the ability of the finite-volume method to handle discontinuities.
This paper describes the mathematical and numerical models used, the architecture of tool and the results of a series of validation studies, in particular the comparison with experiment of a tsunami run-up onto a complex three-dimensional beach.
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References
R. Blong. Natural hazards risk assessment: an australian perspective. Issues in risk science series, Benfield Hazard Research Centre, London, 2005.
A. Kurganov, S. Noelle, and G. Petrova. Semidiscrete central-upwind schemes for hyperbolic conservation laws and hamilton-jacobi equations. SIAM Journal of Scientific Computing, 23(3):707–740, 2001.
J. F. Lebrun, G. D. Karner, and J. Y. Collot. Fracture zone subduction and reactivation across the puysegur ridge/trench system, southern new zealand. Journal of Geophysical Research, 103:7293–7313, 1998.
M. Matsuyama and H. Tanaka. An experimental study of the highest run-up height in the 1993 hokkaido nansei-oki earthquake tsunami. In National Tsunami Hazard Mitigation Program Review and International Tsunami Symposium (ITS), pages 879–889. U.S. National Tsunami Hazard Mitigation Program, 2001.
V. V. Titov and F. I. Gonzalez. Imple-mentation and testing of the method of splitting tsunami (most) model. Technical Memorandum ERL PMEL-112, NOAA, 1997.
E.F. Toro. Riemann problems and the waf method for solving the two-dimensional shallow water equations. Philosophical Transactions of the Royal Society, Series A, 338:43–68, 1992.
Y. Tsuji, S. Matsutomi, F. Imamura, and C. E. Synolakis. Field survey of the east java earthquake and tsunami. Pure and Applied Geophysics, 144(3/4):839–855, 1995.
C. Zoppou and S. Roberts. Catastrophic Collapse of Water Supply Reservoirs in Urban Areas. ASCE J. Hydraulic Engineering, 125(7):686–695, 1999.
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Roberts, S.G., Nielsen, O.M., Jakeman, J. (2008). Simulation of Tsunami and Flash Floods. In: Bock, H.G., Kostina, E., Phu, H.X., Rannacher, R. (eds) Modeling, Simulation and Optimization of Complex Processes. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79409-7_35
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DOI: https://doi.org/10.1007/978-3-540-79409-7_35
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