Propagation of large destructive waves

• Autorzy: Langtangen H. P. , Pedersen G.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we discuss some critical aspects of standard numerical models for tsunami simulation. We evaluate the importance of dispersion in open sea and demonstrate that the Boussinesq equations offer a surprisingly good balance between accuracy and mathematical simplicity for tsunami problems. Numerical artifacts of wave propagation in discrete media, with emphasis on effects of staircase boundaries commonly used in finite difference models, are also exemplified. Our conclusion is that tsunami simulation needs different partial differential equations, treated by different numerical techniques and implementations, in different parts of the domain. This calls for a domain decomposition approach.

Słowa kluczowe

EN

wave simulation; tsunamis; finite element method; finite difference method; dispersion; numerical artifacts

PL

fala sejsmiczna; metoda elementów skończonych; dyspersja

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2002
• Tom: Vol. 7, no 1
• Strony: 187--204
• Opis fizyczny: Bibliogr. 12 poz.., wykr.

Twórcy

autor

Langtangen H. P.

• Departmentof Scientific Computing Simula Research Laboratory Fornebu, Norway

autor

Pedersen G.

• Department of Mathematics University of Oslo, Norway

Bibliografia

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• [8] Langtangen H.P. and Pedersen G. (1999): A Lagrangian model for run-up of shallow water waves. In: The Proceedings of the Tenth International Conference on Finite Elements in Fluids (M. Hafez and J.C. Heinrich, Eds.). - Tuscon, Arizona, USA, January 1998, pp.355-363.
• [9] Mei C.C. (1989): The Applied Dynamics of Ocean Surface Waves. - Singapore: World Scientific.
• [10] Pedersen G. (1985): Run-up of Periodic Waves on a Straight Beach. - Preprint Series in Applied Mathematics, ISBN 82-553-0952-7 1/85, Dept, of Mathematics, University of Oslo, Norway.
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• [12] Pedersen G. (2000): An optical theory for discrete media. – Wave Motion, vol. 32, pp. 79-92.