Numerical Solution of the Incompressible, Two-Dimensional, Time-Dependent Navier-Stokes Equations for a Body Oscillating in Pitch In a Moving Fluid

摘要

A numerical solution of the incompressible, two-dimensional, time-dependent Navier-Stokes equations, which is implicit in time as well as space, has been developed for the case of a uniform flow past a body with rectangular boundaries undergoing pitch oscillations. The Navier-Stokes equations are written in the form of the vorticity equation and the Poisson equation for the stream function, thus using the vorticity and stream function as dependent variables, rather than the velocity components and the pressure. The equations are written in a moving coordinate system fixed with respect to the oscillating body, which undergoes pitch oscillations about an arbitrary axis. (Author)