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Tsunami benchmark cases: benchmark # 1

Tsunami benchmark cases: benchmark # 1. The third International workshop on long-wave runup models, June 2004. Stéphan Grilli, Enet Fran çois Department of Ocean Engineering, University of Rhode Island. Introduction. Benchmark parameters Numerical model Results Conclusions.

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Tsunami benchmark cases: benchmark # 1

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  1. Tsunami benchmark cases: benchmark # 1 The third International workshop on long-wave runup models, June 2004 Stéphan Grilli, Enet François Department of Ocean Engineering, University of Rhode Island

  2. Introduction • Benchmark parameters • Numerical model • Results • Conclusions

  3. Benchmark parameters: • Initial-value-problem (IVP, Carrier et al.) :

  4. Numerical Model • Fully nonlinear potential flow higher-order 2D-BEM model • Grilli and Subramanya (1996) • Grilli and Horrillo (1997)

  5. Boundary conditions and geometry • Impermeable bottom • Constant depth region offshore • Absorbing piston offshore • 1/10th slope • Max. depth: 5000 m • Length of the domain: 6.104m

  6. Geometry

  7. Discretization • 470 nodes and 383 elements • Free surface: • 300 elements, dx=200m • Bottom: • dx=200m for x<12.5 km • dx=500m otherwise

  8. Time stepping • Based on a mesh Courant condition • average time step is about 0.4 sec • 700 time steps to compute up to t = 280 sec • CPU time on a Mac G4 1.33 GHz laptop is 2.5 sec per time step

  9. Accuracy • Volume conservation better than 5. 10-8 m3 • Relative accuracy on Boundary fluxes better than 3.4 10-10

  10. Results: free surface

  11. Results: Runup

  12. Conclusions • The NLSW tends to overestimate the rundown and underestimate the runup. • Slight disagreement for the timing of the maximum runup between the FNPF and NLSW.

  13. References • Carrier, Wu and Yeh, Journal of Fluid Mechanics, 475, 79-99, 2003. • Grilli, S.T. and Subramanya, R. 1996. Numerical Modeling of Wave Breaking Induced by Fixed or Moving Boundaries. Computational Mechanics, 17(6), 374-391. • Grilli, S.T. and Horrillo, J. 1997 Numerical Generation and Absorption of Fully Nonlinear Periodic Waves. Journal of Engineering Mechanics, 123 (10), 1060-1069.

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