A topological study of gravity free-surface waves generated by bluff bodies using the method of steepest descents.

ABSTRACT: The standard analytical approach for studying steady gravity free-surface waves generated by a moving body often relies upon a linearization of the physical geometry, where the body is considered asymptotically small in one or several of its dimensions. In this paper, a methodology that avoids any such geometrical simplification is presented for the case of steady-state flows at low speeds. The approach is made possible through a reduction of the water-wave equations to a complex-valued integral equation that can be studied using the method of steepest descents. The main result is a theory that establishes a correspondence between different bluff-bodied free-surface flow configurations, with the topology of the Riemann surface formed by the steepest descent paths. Then, when a geometrical

SUBMITTER: Trinh PH 

PROVIDER: S-EPMC4971235 | biostudies-literature | 2016 Jul

REPOSITORIES: biostudies-literature