Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007geoji.170.1076k&link_type=abstract
Geophysical Journal International, Volume 170, Issue 3, pp. 1076-1088.
Astronomy and Astrophysics
Astronomy
6
Hydrodynamics, Impact Tsunami, Run-Up, Wave Propagation
Scientific paper
We report on calculations of the on-shore run-up of waves that might be generated by the impact of subkilometre asteroids into the deep ocean. The calculations were done with the COULWAVE code, which models the propagation and shore-interaction of non-linear moderate- to long-wavelength waves (kh < π) using the extended Boussinesq approximation. We carried out run-up calculations for several different situations: (1) laboratory-scale monochromatic wave trains onto simple slopes; (2) 10-100 m monochromatic wave trains onto simple slopes; (3) 10-100 m monochromatic wave trains onto a compound slope representing a typical bathymetric profile of the Pacific coast of North America; (4) time-variable scaled trains generated by the collapse of an impact cavity in deep water onto simple slopes and (5) full-amplitude trains onto the Pacific coast profile. For the last case, we also investigated the effects of bottom friction on the run-up. For all cases, we compare our results with the so-called `Irribaren scaling': The relative run-up R/H0 = ξ = s(H0/L0)-1/2, where the run-up is R, H0 is the deep-water waveheight, L0 is the deep-water wavelength, s is the slope and ξ is a dimensionless quantity known as the Irribaren number. Our results suggest that Irribaren scaling breaks down for shallow slopes s <= 0.01 when ξ < 0.1 - 0.2, below which R/H0 is approximately constant. This regime corresponds to steep waves and very shallow slopes, which are the most relevant for impact tsunami, but also the most difficult to access experimentally.
Korycansky Donald G.
Lynett Patrick J.
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