Abstract
The behavior of waves generated by periodic pressure on the free surface is considered within the linear shallow-water theory. The fluid depth is a piecewise-constant function, which implies the presence of a finite-size bottom trench or elevation. For an arbitrary shape of bottom unevenness, the solution of the problem reduces to a system of integral boundary equations. Manifestation of wave-guiding properties of bottom unevenness is illustrated by an example of an extended rectangular elevation.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 1, pp. 70–77, January–February, 2005.
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Sturova, I.V. Surface waves induced by external periodic pressure in a fluid with an uneven bottom. J Appl Mech Tech Phys 46, 55–61 (2005). https://doi.org/10.1007/s10808-005-0035-3
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DOI: https://doi.org/10.1007/s10808-005-0035-3