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Dispersive tsunami waves in the ocean: Model equations and sensitivity to dispersion and Coriolis effects
- Source :
- Ocean Modelling, Ocean Modelling, Elsevier, 2013, 62, pp.39-55. ⟨10.1016/j.ocemod.2012.11.009⟩
- Publication Year :
- 2013
- Publisher :
- HAL CCSD, 2013.
-
Abstract
- We derive fully nonlinear, weakly dispersive model equations for propagation of surface gravity waves in a shallow, homogeneous ocean of variable depth on the surface of a rotating sphere. A numerical model is developed for the weakly nonlinear version of the model based on a combined finite-volume and finite-difference method with a fourth-order MUSCL-TVD scheme in space and a third-order SSP Runge–Kutta scheme in time. In the context of tsunami generation and propagation over trans-oceanic distances, a scaling analysis reveals that the importance of frequency dispersion increases with a decrease of the source width, while the effect of the Coriolis force increases with an increase of the source width. A sensitivity analysis to dispersive and Coriolis effects is carried out using the numerical model in a series of numerical experiments in an idealized ocean using Gaussian and di-polar sources with different source sizes. A simulation of the Tohoku 2011 tsunami is used to illustrate the effects of dispersive and Coriolis effects at large distances from the source region.
- Subjects :
- Atmospheric Science
010504 meteorology & atmospheric sciences
Gaussian
Context (language use)
010502 geochemistry & geophysics
Oceanography
01 natural sciences
Physics::Geophysics
symbols.namesake
Optics
Computer Science (miscellaneous)
Sensitivity (control systems)
[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]
Dispersion (water waves)
Scaling
ComputingMilieux_MISCELLANEOUS
0105 earth and related environmental sciences
Physics
business.industry
Mechanics
Geotechnical Engineering and Engineering Geology
Surface gravity
Nonlinear system
13. Climate action
symbols
business
Kelvin wave
Subjects
Details
- Language :
- English
- ISSN :
- 14635003
- Database :
- OpenAIRE
- Journal :
- Ocean Modelling, Ocean Modelling, Elsevier, 2013, 62, pp.39-55. ⟨10.1016/j.ocemod.2012.11.009⟩
- Accession number :
- edsair.doi.dedup.....472668b06691d89c179911337b7c6e32