Highlights
Quantifying rivers and their responses. Simulation arrangements. A tsunami and a tide in a numerical river: alike and different. Patterns, relations, numbers. Effects of the bed shape, wave period, riverine current, wave amplitude. Two metrics for the wave decay with distance travelled. Surprises of high water marks: a larger wave dissipates slower. A distance to the wave set-up peak as a scale for wave penetration in a river. Can tidal observations be used for predicting a tsunami’s behavior?
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Notes
- 1.
For an analogy, primary parameters specifying a particular frictionless system comprised of a rigid body suspended from a coil spring include the shape and mass of the body, the density and Young’s modulus of the spring’s material, spring length, and number and radius of the spring’s coils. These primary parameters yield one “behavioral” parameter—a period of oscillation—characterising the system’s motion along the vertical axis.
- 2.
That is, to compute an incoming Riemann invariant.
- 3.
In rivers with uniform depth considered here, we cannot distinguish between a bed slope and a surface slope. In a more general case, a surface slope might constitute a more meaningful parameter than a bed slope.
- 4.
Note that L w is an e-folding penetration distance for the wave intensity. Such a distance for the wave height or amplitude is 2L w .
References
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Tolkova, E., Tanaka, H., & Roh, M. (2015). Tsunami observations in rivers from a perspective of tsunami interaction with tide and riverine flow. Pure and Applied Geophysics, 172(3–4), 953–968. https://doi.org/10.1007/s00024-014-1017-2.
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Tolkova, E. (2018). Tsunami and Tidal Set-Up in Rivers: A Numerical Study. In: Tsunami Propagation in Tidal Rivers. SpringerBriefs in Earth Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-73287-9_4
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