Abstract
Effects associated with the motion of circular surface waves in a liquid toward the center were considered in [1, 2]. In [3], a study was made of the generation and propagation of a wave from a bow front in the form of a circular arc. The difficulty of analytic description of these phenomena was noted. The present paper considers the results of numerical investigation of the formation and evolution of the focused long-wavelength radiation produced by an initial steady raised level of the following forms in plan: rectilinear, semicircular, circular, and regular pentagon inscribed in a circle. The obtained results are generalized to the case of a wave generator of any length, and the derived relationships make it possible to estimate the accumulation effect independently of the initial conditions if the amplitude at the crest of a radially converging wave at the moment when the motion of the free surface begins to proceed solely under the influence of gravity is determined in some manner or other. The simulation of such waves in hydraulic situations with pulsed, radially acting unsteady source is considered.
Published Version
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