Nils Goseberg, Torsten Schlurmann


This research study considers long wave run-up experimentally and numerically. At first, an alternative methodology in long wave physical modeling is presented by means of a set of pipe pumps forcing the inflow of a controlled volume of water into a wave channel mimicking a tsunami-like wave shape that is consistently contained by a proportional plus integral plus derivative controller (PID) controller. Arbitrary wave lengths are persistently generated by means of the proposed methodology. First results are compared to tsunami data stemming from conventional experimental configurations with solitary waves as well as with recent numerical modeling results. Comparisons are thoroughly discussed and – in a second step – numerical simulations are accomplished taking the interaction of long wave run-up and macro-roughness elements into account. Four different experimental configurations of macro-roughness elements are carried out while spacing between elements and numbers of obstacle rows are alternated. A fundamental correlation analysis reveals that a correlation of the number of macro-roughness rows, effective area of flow cross section and a grouping factor of different element configurations exists in principle.


long wave; tsunami run-up; macro-roughness; numerical modeling; physical modeling; laboratory wave generation

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Åström, K. J., and R. M. Murray. 2008. Feedback Systems - An Introduction for Scientists and Engineers. Princeton University Press.

Briggs, M.J., C.E. Synolakis, G.S. Harkins, and D.R. Green. 1995. Laboratory experiments of tsunami runup on a circular island. Pure and applied geophysics 144, no. 3-4: 569-593.

Cox, Daniel, Takashi Tomita, Patrick Lynett, and Rob Holman. 2009. Tsunami inundation with macroroughness in the constructed environment. In Proceedings of the International Conference on Coastal engineering, 2:1421-1432. World Scientific.

Galvin, C. J. 1964. Wave-height prediction for wave generators in shallow waters. March.

Goseberg, N., and T. Schlurmann. 2008. Relevant factors on the extent of inundation based on tsunami scenarios for the city of Padang, West Sumatra. In Proceedings of the International Conference on Tsunami Warning (ICTW).

Goseberg, N., and T. Schlurmann. 2009. Enhanced hazard mapping on a medium-resolved numerical grid for the city of Padang, West Sumatra. Journal of ship technology 5, no. 2 (July): 13-21.

Goseberg, N., A. Stahlmann, S. Schimmels, and T. Schlurmann. 2009. Highly-resolved numerical modeling of tsunami run-up and inundation scenarios in the city of Padang, West Sumatra. In Poster Proceedings of the International Conference on Coastal engineering, 27-40.

Hashimoto, H., and K. Park. 2008. Flood Recovery, Innovation and Response I. WIT press.

Imamura, F. 2009. Tsunamis: Ideas and Observations on Progress in the Study of the Seas. Harvard Univ. Press.

Lynett, Patrick J., Tso-Ren Wu, and Philip L.-F. Liu. 2002. Modeling wave runup with depthintegrated equations. Coastal Engineering 46 (July): 89-107(19).

Madsen, P.A., D.R. Fuhrman, and H.A. Schäffer. 2008. On the solitary wave paradigm for tsunamis. Journal of Geophysical Research C: Oceans 113, no. 12: 1-22.

Nielsen, O., S. Roberts, D. Gray, A. McPherson, and A. Hitchman. 2005. Hydrodynamic modelling of coastal inundation. In MODSIM 2005 International Congress on Modelling and Simulation, 518-523.

Pedro, H.T.C., K.-W. Leung, M.H. Kobayashi, and H.R. Riggs. 2007. Numerical study of the wave impact on a square column using large Eddy simulation. In Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE, 3:1015-1021.

Shewchuk, Jonathan Richard. 1996. Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator. In Applied Computational Geometry: Towards Geometric Engineering, 1148:203-1. Springer-Verlag, May.

Soares-Frazao, S., J. Lhomme, V. Guinot, and Y. Zech. 2008. Two-dimensional shallow-water model with porosity for urban flood modelling. Journal of Hydraulic Research 46, no. 1: 45-64.

Soares-Frazao, S., and Y. Zech. 2008. Dam-break flow through an idealised city. Journal of Hydraulic Research 46, no. 5: 648-658.

Synolakis, C. E. 1986. The runup of long waves. W. M. Keck Laboratory of Hydraulics and Water Resources, California Institute of Technology, December.

Taubenböck, H., N. Goseberg, N. Setiadi, G. Lämmel, F. Moder, M. Oczipka, H. Klüpfel, et al. 2009. Last-Mile preparation to a potential disaster - Interdisciplinary approach towards tsunami early warning and an evacuation information system for the coastal city of Padang, Indonesia. Natural

Hazards and Earth System Sciences (NHESS) 9, no. 4: 1509-1528.

Tomita, Takashi, Kazuhiki Honda, and Taro Kakinuma. 2007. Application of three-dimensional tsunami simulator to estimation of tsunami behaviour around structures. In Proceedings of the International Conference on Coastal engineering, 2:1677-1688. World Scientific.

Ward, S. N., and S. Day. 2008. Tsunami balls: A granular approach to tsunami runup and inundation. Communications in Computational Physics 3, no. 1: 222-249.

Wijetunge, J. J. 2010. Numerical Simulation of the 2004 Indian Ocean Tsunami: Case Study of Effect of Sand Dunes on the Spatial Distribution of Inundation in Hambantota, Sri Lanka. Journal of Applied Fluid Mechanics 3, no. 2: 125-135.

Xiao, H., and W. Huang. 2008. Numerical modeling of wave runup and forces on an idealized beachfront house. Ocean Engineering 35, no. 1: 106-116.

Zoppou, C., and S. Roberts. 1999. Catastrophic Collapse of Water Supply Reservoirs in Urban Areas.