Numerical study of the propagation of nonlinear waves on the surface of a viscous liquid

Abstract

Numerical study of the propagation of nonlinear waves on the surface of a viscous liquid

Egereva E.N., Lopatko A.V.

Incoming article date: 13.12.2018

A nonlinear boundary value problem on the propagation of surface waves in a layer of viscous incompressible fluid of infinite depth is considered. Equations of motion and boundary conditions are written. The solution of the problem is found by the small parameter method. An expression for the damping decrement of the wave oscillations is obtained. The program code in C++ for the numerical study of the propagation of nonlinear waves on the surface of a viscous liquid is developed.

Keywords: viscous liquid, slabowska fluid, nonlinear surface waves, the damping rate of waves, phase velocity, frequency wave