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Journal of Applied Mechanics and Technical Physics

2021 year, number 4

Steady Waves on the Surface of a Liquid of Variable Depth

T. A. Bodnar
Biysk Technological Institute, Biysk, Russia
Keywords: steady waves on the surface of a liquid, integral equation, Laurent series, kernel of the Nekrasov equation, conformal mapping


The Nekrasov integral equation is obtained which describes the steady flow of an ideal incompressible fluid with a free surface above an uneven bottom with a wavy profile. A numerical method has been developed for solving this equation at the coordinates of the bottom profile defined in the plane of the complex variable z = x + iy .