Long wave run-up in asymmetric bays and in fjords with two separate heads

JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS. 2018. Vol. 123. No. 3. P. 2066–2080.

Pelinovsky E., Rybkin A., Nikolsky D., Raz A.

Modeling of tsunamis in glacial fjords prompts us to evaluate applicability of the crosssectionally
averaged nonlinear shallow water equations to model propagation and runup of long waves in
asymmetrical bays and also in fjords with two heads. We utilize the Tuck-Hwang transformation, initially
introduced for the plane beaches and currently generalized for bays with arbitrary cross section, to transform
the nonlinear governing equations into a linear equation. The solution of the linearized equation
describing the runup at the shore line is computed by taking into account the incident wave at the toe of
the last sloping segment. We verify our predictions against direct numerical simulation of the 2-D shallow
water equations and show that our solution is valid both for bays with an asymmetric L-shaped cross
section, and for fjords with two heads—bays with a W-shaped cross section

Keywords: tsunami, цунами